Rotation 3 Question 3

9. A small object of uniform density rolls up a curved surface with an initial velocity $v$. It reaches up to a maximum height of $\frac{3 v^{2}}{4 g}$ with respect to the initial position. The object is

$(2007,3$ M)

(a) ring

(c) hollow sphere

(b) solid sphere

(d) disc

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Answer:

Correct Answer: 9. (d)

Solution:

  1. $\quad \frac{1}{2} m v^{2}+\frac{1}{2} I \frac{v}{R}^{2}=m g \frac{3 v^{2}}{4 g}$

$$ \therefore \quad I=\frac{1}{2} m R^{2} $$

$\therefore$ Body is disc.



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