A body is acted upon by two unequal forces acting in opposite directions, but not along the same straight line. The effect is that the body will experience:
- Aonly rotational motion.
- Bonly translational motion.
- Cneither rotational nor translational motion.
- Drotational as well as translational motion.
Solution & Step-by-step Explanation
Let the two unequal forces be and acting in opposite directions.
1. Translational Motion: Because the forces are unequal in magnitude (), the net external force acting on the body is non-zero:
A non-zero net force causes linear acceleration, leading to translational motion.
2. Rotational Motion: Since these forces do not act along the same line of action, they create a separation distance between their lines of action. This configuration produces a non-zero net external torque () about the center of mass. This net torque induces rotational acceleration, causing rotational motion.
Therefore, the body will experience both rotational and translational motion.
1. Translational Motion: Because the forces are unequal in magnitude (), the net external force acting on the body is non-zero:
A non-zero net force causes linear acceleration, leading to translational motion.
2. Rotational Motion: Since these forces do not act along the same line of action, they create a separation distance between their lines of action. This configuration produces a non-zero net external torque () about the center of mass. This net torque induces rotational acceleration, causing rotational motion.
Therefore, the body will experience both rotational and translational motion.