Rotation 3 Question 5
11. A disc is rolling (without slipping) on a horizontal surface. $C$ is its centre and $Q$ and $P$ are two points equidistant from $C$. Let $v _P, v _Q$ and $v _C$ be the magnitude of velocities of points $P, Q$ and $C$ respectively, then
(2004)
(a) $v _Q>v _C>v _P$
(b) $v _Q<v _C<v _P$
(c) $v _Q=v _P, v _C=\frac{1}{2} v _P$
(d) $v _Q
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Answer:
Correct Answer: 11. (a)
Solution:
- In case of pure rolling bottom most point is the instantaneous centre of zero velocity.
Velocity of any point on the disc, $v=r \omega$, where $r$ is the distance of point from $O$.
$$ \therefore \quad v _Q>v _C>v _P $$
$$ r _Q>r _C>r _P $$
