Does Newton’s law of motion in angular form hold in the accelerated frame ?
Answer to this question is very relevant in the case of combined (translation and rotation) motion. Consider the case of rolling. The axis of rotation i.e. the reference of motion itself may be accelerating down an incline. We may also consider the example of a spring board diver. In this case, the diver accelerates down the spring board under gravity while performing eye catching twists and turns. Here, also the reference frame of rotation attached to the diver is accelerating. Figure 3: The disk rotates about an axis passing through center of mass. Rolling along an incline Now, let us have the look the way we define a torque : t=rxF where, F=ma We ofcourse know that the relation of force and acceleration (which is Newton’s second law of motion) is valid in inertial frame and is not valid for non-inertial frame. We may, therefore, infer that the Newton’s second law in angular forms as derived here for system of particles and rigid body may also be not valid for non-inertial frames. Th
