A disc of radius R rolls without slipping at a speed v along the positive x -axis. The velocity of a point P at the instant shown in the figure is

Question

A disc of radius R rolls without slipping at a speed v along the positive x -axis. The velocity of a point P at the instant shown in the figure is, v → P = v + v r sin θ R i ^ + v r cos θ R j ^, v → P = v + v r sin θ R i ^ - v r cos θ R j ^, v → P = v r sin θ R i ^ + v r cos θ R j ^, v → P = v r sin θ R i ^ - v r cos θ R j ^

MARKS App · Accepted Answer

We have ω = v R for pure rolling. The velocity of point P is resultant of two velocity vectors shown as arrows in the figure. Hence, v → P = v x i ^ + v y j ^ or v → P = v + v r sin θ R i ^ - v r cos θ R j ^

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