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Mechanics Questions

Practice 274 Mechanics questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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About Mechanics — practice questions, PYQs & concepts

Mechanics is a frequently-tested topic on Physics, Mathematics, General Knowledge and General Awareness. ExamTest.live currently lists 274 Mechanics questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Mechanics weight in competitive exams

Across our Mechanics question bank, the largest sources are Physics (262), Mathematics (9), General Knowledge and General Awareness (2) and General Awareness (1). Click any exam chip above to drill down to that exam-specific question set.

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All Mechanics Questions(1100 of 274)

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Q1mediummcqPhysicsAIEEE 20042026
50% accuracy
A uniform chain of length is kept on a table such that a length of hangs freely from the edge of the table. The total mass of the chain is . What is the work done in pulling the entire chain on the table?
Q2mediummcqPhysicsAIEEE 20042026
0% accuracy
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement is proportional to:
Q3easymcqPhysicsAIEEE 20042026
0% accuracy
Two masses and tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when left free to move? (Take )
image
Q4easymcqPhysicsAIEEE 20042026
0% accuracy
A wire fixed at the upper end stretches by length by applying a force . The work done in stretching is:
Q5easymcqPhysicsAIEEE 20042026
50% accuracy
One solid sphere and another hollow sphere are of same mass and same outer radii. Their moment of inertia about their diameters are respectively and such that:
Q6mediummcqPhysicsAIEEE 20042026
0% accuracy
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:
Q7mediummcqPhysicsAIEEE 20042026
0% accuracy
A machine gun fires a bullet of mass with a velocity . The man holding it can exert a maximum force of on the gun. How many bullets can he fire per second at the most?
Q8mediummcqPhysicsAIEEE 20042026
0% accuracy
A projectile can have the same range for two angles of projection. If and be the time of flights in the two cases, then the product of the two time of flights is directly proportional to:
Q9mediummcqPhysicsNEET 20192026
0% accuracy
Body of mass moving with speed collides with another body of mass , at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body is:
Q10mediummcqGeneral Knowledge and General AwarenessSSC CPO 20242026
0% accuracy
Which of the following is NOT an example of the inertia of rest?
Q11mediummcqPhysicsAIEEE 20062026
0% accuracy
Four point masses, each of value , are placed at the corners of a square of side . The moment of inertia through and parallel to is:
Q12easymcqPhysicsAIEEE 20062026
0% accuracy
A player caught a cricket ball of mass moving at a rate of . If the catching process is completed in , the force of the blow exerted by the ball on the hand of the player is equal to:
Q13mediummcqPhysicsAIEEE 20062026
0% accuracy
Consider a two particle system with particles having masses and . If the first particle is pushed towards the centre of mass through a distance , by what distance should the second particle be moved, so as to keep the centre of mass at the same position?
Q14hardmcqPhysicsNEET 20192026
0% accuracy
A solid cylinder of mass and radius rotating about its axis at the rate of . The torque required to stop after revolutions is:
Q15easymcqPhysicsNEET 20192026
0% accuracy
Average velocity of a particle executing SHM in one complete vibration is:
Q16hardmcqPhysicsNEET 20192026
0% accuracy
When an object is shot from the bottom of a long smooth inclined plane kept at an angle with horizontal, it can travel a distance along the plane. But when the inclination is decreased to and the same object is shot with the same velocity, it can travel distance. Then will be:
Q17hardmcqPhysicsNEET 20192026
0% accuracy
The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig. -projection of the radius vector of rotating particle is:
image
Q18hardmcqPhysicsNEET 20192026
0% accuracy
A disc of radius and mass rolls on a horizontal floor. Its centre of mass has speed of . How much work is needed to stop it?
Q19mediummcqPhysicsNEET 20192026
0% accuracy
The displacement of a particle executing simple harmonic motion is given by . Then the amplitude of its oscillation is given by:
Q20mediummcqPhysicsNEET 20192026
0% accuracy
In an experiment, the percentage of error occurred in the measurement of physical quantities and are and respectively. Then the maximum percentage of error in the measurement , where , will be:
Q21easymcqPhysicsNEET 20192026
0% accuracy
A body weighs on the surface of the earth. How much will it weigh half way down to the centre of the earth?
Q22hardmcqPhysicsNEET 20192026
0% accuracy
The speed of a swimmer in still water is . The speed of river water is and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path the angle at which he should make his strokes w.r.t. north is given by:
Q23mediummcqPhysicsNEET 20192026
0% accuracy
A particle moving with velocity is acted by three forces shown by the vector triangle . The velocity of the particle will:
image
Q24mediummcqPhysicsNEET 20192026
0% accuracy
A mass is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:
Q25mediummcqMathematicsAIEEE 20072026
0% accuracy
A particle just clears a wall of height at distance and strikes the ground at a distance from the point of projection. The angle of projection is:
Q26mediummcqPhysicsAIEEE 20062026
0% accuracy
A thin circular ring of mass and radius is rotating about its axis with a constant angular velocity . Two objects each of mass are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity :
Q27easymcqPhysicsNEET 20192026
0% accuracy
Two particles and are moving in uniform circular motion in concentric circles of radii and with speed and respectively. Their time period of rotation is the same. The ratio of angular speed of to that of will be:
Q28mediummcqMathematicsAIEEE 20072026
0% accuracy
A body weighing is suspended by two strings and long, their other ends being fastened to the extremities of a rod long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are:
Q29mediummcqPhysicsAIEEE 20062026
0% accuracy
A mass of is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of with the initial vertical direction is:
Q30hardmcqPhysicsAIEEE 20062026
0% accuracy
The potential energy of a particle free to move along the -axis is given by . The total mechanical energy of the particle is . Then, the maximum speed (in m/s) is:
Q31mediummcqMathematicsAIEEE 20062026
0% accuracy
is a triangle, right-angled at . The resultant of the forces acting along and with magnitudes and respectively is a force along , where is the foot of the perpendicular from onto . The magnitude of the resultant is:
Q32mediummcqPhysicsNEET 20192026
0% accuracy
A force acts on a particle in -direction where is in newton and in meter. Work done by this force to move the particle from to is:
Q33mediummcqPhysicsNEET 20192026
0% accuracy
The work done to raise a mass from the surface of the earth to a height , which is equal to the radius of the earth, is:
Q34mediummcqPhysicsAIEEE 20062026
0% accuracy
A force of acts on , the origin of the coordinate system. The torque about the point is:
Q35hardmcqPhysicsNEET 20192026
0% accuracy
A block of mass is in contact against the inner wall of a hollow cylindrical drum of radius . The coefficient of friction between the block and the inner wall of the cylinder is . The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be: ()
Q36mediummcqMathematicsAIEEE-CBSE-ENG-032026
Let and respectively be the maximum ranges up and down an inclined plane and be the maximum range on the horizontal plane. Then are in:
Q37mediummcqMathematicsAIEEE-CBSE-ENG-032026
Two stones are projected from the top of a cliff meters high, with the same speed so as to hit the ground at the same spot. If one of the stones is projected horizontally and the other is projected at an angle to the horizontal then equals:
Q38mediummcqMathematicsAIEEE-CBSE-ENG-032026
The resultant of forces and is . If is doubled then is doubled. If the direction of is reversed, then is again doubled. Then is:
Q39mediummcqPhysicsAIEEE2026
The change in the value of at a height ‘ ’ above the surface of the earth is the same as at a depth ‘ ’ below the surface of earth. When both ‘ ’ and ‘ ’ are much smaller than the radius of earth, then which one of the following is correct?
Q40mediummcqMathematicsAIEEE-CBSE-ENG-032026
A body travels a distance in seconds. It starts from rest and ends at rest. In the first part of the journey, it moves with constant acceleration and in the second part with constant retardation . The value of is given by:
Q41easymcqPhysicsAIEEE2026
If a simple harmonic motion is represented by , its time period is:
Q42mediummcqPhysicsAIEEE2026
A ‘T’ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force is applied at the point parallel to , such that the object has only the translational motion without rotation. Find the location of with respect to :
image
Q43mediummcqPhysicsAIEEE2026
A mass ‘ ’ moves with a velocity and collides inelastically with another identical mass. After collision the 1st mass moves with velocity in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision:
image
Q44mediummcqPhysicsAIEEE2026
Average density of the earth:
Q45mediummcqPhysicsAIEEE2026
The block of mass moving on the frictionless horizontal surface collides with a spring of spring constant and compresses it by length . The maximum momentum of the block after collision is:
image
Q46mediummcqPhysicsAIEEE2026
A block is kept on a frictionless inclined surface with angle of inclination . The incline is given an acceleration to keep the block stationary. Then is equal to:
image
Q47easymcqPhysicsAIEEE 20032026
A light spring balance hangs from the hook of the other light spring balance and a block of mass hangs from the former one. Then the true statement about scale reading is:
Q48mediummcqPhysicsAIEEE2026
The moment of inertia of a uniform semicircular disc of mass and radius about a line perpendicular to the plane of the disc through the centre is:
Q49mediummcqPhysicsAIEEE2026
A bullet fired into a fixed target loses half of its velocity after penetrating . How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?
Q50mediummcqPhysicsAIEEE2026
A smooth block is released at rest on a incline and then slides a distance . The time taken to slide is times as much to slide on a rough incline than on a smooth incline. The coefficient of friction is:
Q51easymcqPhysicsNEET (UG) 20242026
A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is in the direction shown, which one of the following options is correct ( and are any highest and lowest points on the wheel, respectively)?
image
Q52mediummcqPhysicsNEET (UG) 20242026
A thin flat circular disc of radius is placed gently over the surface of water. If surface tension of water is , then the excess force required to take it away from the surface is:
Q53easymcqPhysicsNEET (UG) 20242026
Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity while body B is at rest before collision. The velocity of the system after collision is . The ratio is:
Q54mediummcqPhysicsNEET (UG) 20242026
A particle moving with uniform speed in a circular path maintains:
Q55mediummcqPhysicsNEET (UG) 20242026
A metallic bar of Young's modulus and coefficient of linear thermal expansion , length and area of cross-section is heated from to without expansion or bending. The compressive force developed in it is:
Q56easymcqPhysicsNEET (UG) 20242026
At any instant of time , the displacement of any particle is given by (SI unit) under the influence of force of . The value of instantaneous power is (in SI unit):
Q57mediummcqPhysicsNEET (UG) 20242026
A bob is whirled in a horizontal plane by means of a string with an initial speed of . The tension in the string is . If speed becomes while keeping the same radius, the tension in the string becomes:
Q58mediummcqMathematicsAIEEE-CBSE-ENG-032026
A couple is of moment and the force forming the couple is . If is turned through a right angle, the moment of the couple thus formed is . If instead, the forces are turned through an angle , then the moment of couple becomes:
Q59mediummcqMathematicsAIEEE-CBSE-ENG-032026
Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity and the other from rest with uniform acceleration . Let be the angle between their directions of motion. The relative velocity of the second particle with respect to the first is least after a time:
Q60mediummcqPhysicsAIEEE2026
The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would:
Q61hardmcqPhysicsAIEEE 20032026
A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time is proportional to:
Q62mediummcqPhysicsAIEEE2026
A particle of mass is kept on the surface of a uniform sphere of mass and radius . Find the work to be done against the gravitational force between them to take the particle far away from the sphere [ ]:
Q63mediummcqPhysicsAIEEE2026
Two simple harmonic motions are represented by the equation and . The phase difference of the velocity of particle w.r.t. the velocity of the particle is:
Q64mediummcqPhysicsAIEEE2026
Consider a car moving on a straight road with a speed of . The distance at which car can be stopped is [ ]:
Q65mediummcqPhysicsAIEEE 20032026
A block of mass is pulled along a horizontal friction surface by a rope of mass . If a force is applied at the free end of the rope, the force exerted by the rope on the block is:
Q66mediummcqPhysicsAIEEE2026
A long capillary tube is dipped in water. The water rises up to . If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be:
Q67mediummcqPhysicsAIEEE2026
If is stress and is Young’s modulus of material of a wire, the energy stored in the wire per unit volume is:
Q68mediummcqPhysicsAIEEE2026
A particle of mass is subjected to a force with . What will be its initial acceleration if it is released from a point away from the origin?
Q69mediummcqPhysicsAIEEE2026
A body of mass is accelerated uniformly from rest to a speed in a time . The instantaneous power delivered to the body as a function time is given by:
Q70mediummcqPhysicsAIEEE2026
A spherical ball of mass is stationary at the top of a hill of height . It rolls down a smooth surface to the ground, then climbs up another hill of height and finally rolls down to a horizontal base at a height of above the ground. The velocity attained by the ball is:
Q71mediummcqPhysicsAIEEE2026
A body A of mass while falling vertically downwards under gravity breaks into two parts; a body B of mass and a body C of mass . The centre of mass of bodies B and C taken together shifts compared to that of body A towards:
Q72mediummcqPhysicsAIEEE2026
The upper half of an inclined plane with inclination is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by:
Q73mediummcqPhysicsAIEEE 20032026
A boy playing on the roof of a high building throws a ball with a speed of at an angle of with the horizontal. How far from the throwing point will the ball be at the height of from the ground? (Take )
Q74mediummcqPhysicsNEET (UG) 20242026
The mass of a planet is th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:
Q75mediummcqPhysicsNEET (UG) 20242026
The velocity () – time () plot of the motion of a body is shown below. The graph starts from origin, increases linearly to a peak, then decreases linearly to zero velocity at a later time.
image
The acceleration () – time () graph that best suits this motion is:
image
Q76mediummcqPhysicsNEET (UG) 20242026
The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is . The length of the rod is nearly:
Q77mediummcqPhysicsNEET (UG) 20242026
The minimum energy required to launch a satellite of mass from the surface of earth of mass and radius in a circular orbit at an altitude of from the surface of the earth is:
Q78mediummcqPhysicsNEET (UG) 20242026
A horizontal force is applied to a block as shown in figure. The mass of blocks and are and , respectively. The blocks slide over a frictionless surface. The force exerted by block on block is:
image
Q79mediummcqPhysicsNEET (UG) 20242026
The maximum elongation of a steel wire of length if the elastic limit of steel and its Young's modulus, respectively, are and is:
Q80easymcqPhysicsNEET 20232026
The potential energy of a long spring when stretched by is . If the spring is stretched by , the potential energy stored in it will be:
Q81easymcqPhysicsAIEEE 20032026
A horizontal force of is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is . The weight of the block is:
image
Q82hardmcqPhysicsNEET 20222026
A shell of mass is at rest initially. It explodes into three fragments having mass in the ratio . If the fragments having equal mass fly off along mutually perpendicular directions with speed , the speed of the third (lighter) fragment is:
Q83mediummcqPhysicsNEET 20222026
An electric lift with a maximum load of (lift + passengers) is moving up with a constant speed of . The frictional force opposing the motion is . The minimum power delivered by the motor to the lift in watts is: ()
Q84mediummcqPhysicsNEET 20222026
Two objects of mass and respectively are connected to the two ends of a rigid rod of length with negligible mass. The distance of the center of mass of the system from the mass is:
image
Q85mediummcqPhysicsNEET 20212026
A particle moving in a circle of radius with a uniform speed takes a time to complete one revolution. If this particle were projected with the same speed at an angle to the horizontal, the maximum height attained by it equals . The angle of projection, , is then given by:
Q86easymcqPhysicsNEET 20232026
Let a wire be suspended from the ceiling (rigid support) and stretched by a weight attached at its free end. The longitudinal stress at any point of cross-sectional area of the wire is:
Q87mediummcqPhysicsNEET 20212026
A car starts from rest and accelerates at . At , a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at ? ()
Q88mediummcqPhysicsNEET 20212026
A ball of mass is dropped from a height , strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is () nearly:
Q89mediummcqPhysicsAIEEE 20032026
A rocket with a lift-off mass is blasted upwards with an initial acceleration of . Then the initial thrust of the blast is:
Q90mediummcqPhysicsAIEEE 20032026
A marble block of mass lying on ice when given a velocity of is stopped by friction in . The coefficient of friction is:
Q91mediummcqPhysicsAIEEE 20032026
A wire suspended vertically from one of its ends stretched by attaching weight of to the lower end. The weight stretches the wire by . Then the elastic energy stored in the wire is:
Q92mediummcqPhysicsAIEEE 20032026
Let be the force acting on a particle having position vector and be the torque of this force about the origin. Then:
Q93mediummcqPhysicsAIEEE2026
An annular ring with inner and outer radii and is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, is:
Q94mediummcqPhysicsNEET 20232026
A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:
Q95mediummcqPhysicsAIEEE 20032026
Consider the following two statements:(1) Linear momentum of a system of particles is zero.(2) Kinetic energy of system of particles is zero.
Q96mediummcqPhysicsNEET 20212026
A particle is released from height from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively:
Q97mediummcqPhysicsNEET 20212026
A small block slides down on a smooth inclined plane, starting from rest at time . Let be the distance travelled by the block in the interval to . Then, the ratio is:
Q98mediummcqPhysicsNEET (UG) 20182026
A block of mass is placed on a smooth inclined wedge ABC of inclination as shown in the figure. The wedge is given an acceleration ' ' towards the right. The relation between and for the block to remain stationary on the wedge is:
image
Q99easymcqPhysicsNEET (UG) 20182026
Which one of the following statements is incorrect?
Q100easymcqPhysicsAIEEE 20032026
A car moving with a speed of , can be stopped by brakes after at least . If the same car is moving at a speed of , the minimum stopping distance is:

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Mechanics questions are commonly asked in Physics, Mathematics, General Knowledge and General Awareness, General Awareness. You can filter by exam using the links above.
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Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.