First slide

Dynamics of rotational motion about fixed axis

Question

A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2,the kinetic energy of the mass will :

Easy

A

decrease by a factor of 2
B

remain constant
C

increase by a factor of 2
D

increase by a factor of 4

Solution

$Kinetic energy, K = \frac{L^{2}}{2 I} \propto \frac{1}{r^{2}}$

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