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  4. A disc of radius has ω=2 rad / s and speed v C =2 m / s. The speed of the plank for pure rolling (in m / s ) is .

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Q. A disc of radius has $\omega=2\, rad / s$ and speed $v_{ C }=2 \,m / s$. The speed of the plank for pure rolling (in $m / s$ ) is ____.Physics Question Image

System of Particles and Rotational Motion

Solution:

As disc if rolling the speed of point of contact of disc with plank should be equal to velocity of the plank
$V_{\text {plank }}=v_{\text{disc }}+\omega R$