First slide

Rolling motion

Question

A disc is rolling without slipping on a horizontal surface with C as its centre and Q and P the two points equidistant from C. Let v_P, v_Q and v_C be the magnitudes of velocities of points P, Q and C respectively, then

Easy

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

$v_{Q} < v_{C} > v_{P}$

Solution

Velocity, $v = r ω or v \propto r$
$r_{Q} > r_{C} > r_{P} \Rightarrow v_{Q} > v_{C} > v_{P}$

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