Rotational Motion Question 137
Question: A body is rolling without slipping on a horizontal plane. The rotational energy of the body is 40% of the total kinetic energy. Identify the body.
Options:
A) Ring
B) Hollow cylinder
C) Solid cylinder
D) Hollow sphere
Show Answer
Answer:
Correct Answer: D
Solution:
[d]
$\frac{\frac{1}{2}I{{\omega }^{2}}}{\frac{1}{2}Mv^{2}}=\frac{40}{60}=\frac{2}{3}$
or
$\frac{\frac{Iv^{2}}{R^{2}}}{Mv^{2}}=\frac{2}{3}$
or
$I=\frac{2}{3}MR^{2}$
Clearly, the body is a hollow sphere.
