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:
- Aonly rotational motion.
- Bonly translational motion.
- Cneither the rotational nor the translational motion
- Drotational 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.
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.