Consider a rigid body rotating about a fixed axis.

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

Consider a rigid body rotating about a fixed axis. (i) Distinguish between the tangential and centripetal components of the linear acceleration of a point on the body. (ii) Explain why the tangential component is zero for uniform angular motion, while the centripetal component is not. (iii) When the angular velocity increases uniformly with time, describe how the magnitude and direction of the total linear acceleration change with time, and draw a neat labelled diagram showing the two components and the resultant for an arbitrary instant, indicating the angle between the resultant acceleration and the radial direction.

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