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Conservation of Momentum

A wheel of ra...

Question

A wheel of radius r rolls without slipping on a horizontal surface shwon below. If the velocity of point P is $10 \frac{m}{s}$ in the horizontal direction, the magnitude of velocity of point Q $(i n \frac{m}{s})$ is

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Solution

Velocity of point P,
$V_{P} = r ω = 10 \frac{m}{s}$
Velocity of point Q,
$V_{Q} = 2 r ω = 2 \times 10 = 20 \frac{m}{s}$

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