A student is asked to distinguish between different kinds of rotational motion by…
PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A student is asked to distinguish between different kinds of rotational motion by examining the time variation of angular variables.
(i) Explain, with reasons, the characteristic shape of a θ–t graph for (a) uniform rotation and (b) uniformly accelerated rotation about a fixed axis.
(ii) Describe how one may identify, from the shape of a ω–t graph, intervals during which the rotation is (a) speeding up, (b) steady, and (c) slowing down.
(iii) A plotted θ–t curve is found to be a straight line from t=0 to t=2s and a concave-up parabola from t=2s to t=6s. Without making any numerical calculation, state the nature of angular acceleration in each interval and justify your answer.