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A body is acted upon by two unequal forces in opposite directions, but not in one line. The effect is that the body will have:

  1. A
    only rotational motion.
  2. B
    only translational motion.
  3. C
    neither the rotational nor the translational motion
  4. D
    rotational as well as translational motion.

Solution & Step-by-step Explanation

Let the two unequal forces acting on the body be and such that .
1. Translational Motion: Because the forces act in opposite directions and are unequal, the net external force . A non-zero net force causes linear acceleration of the body's center of mass, resulting in translational motion.
2. Rotational Motion: Because the forces do not act along the same line of action, their lines of action are separated by a perpendicular distance. This creates a net torque () about the center of mass, causing angular acceleration and resulting in rotational motion.
Therefore, the body will exhibit both translational and rotational motion.

Practice this question

Try it yourself before checking the explanation above.

A body is acted upon by two unequal forces in opposite directions, but not in one line. The effect is that the body will have:
A
only rotational motion.
B
only translational motion.
C
neither the rotational nor the translational motion
D
rotational as well as translational motion.

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