Question

The total kinetic energy of a body of mass 10 kg and radius 0.5 m moving with a velocity of 2 m/s without slipping is 32.8 joule. The radius of gyrationof the body is:

• A. 0.25 m
• B. 0.2 m
• C. 0.5 m
• D. 0.4 m.

Answer 1

Answer: (D)

0.4 m.

Answer 2

d)

Sol. Total kinetic energy

=

$\Rightarrow \frac { 1 } { 2 } \times 10 \times ( 2 ) ^ { 2 } \left( 1 + \frac { K ^ { 2 } } { ( 0.5 ) ^ { 2 } } \right) = 32.8$