A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim in 8 m/s. The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be: [2025]

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Solution

Q.
A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim in 8 m/s. The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be: [2025]

1 $4 \sqrt{2}$ m/s

2 8 m/s

3 4 m/s

4 $8 \sqrt{2}$ m/s

Ans.
(1)

If $V_{B} = 2 V$

Point A is instantaneous centre of rotation

Given, $V_{B} = 8 m / s \Rightarrow V = 4 m / s$

$V_{P} = \sqrt{2} V \Rightarrow V_{P} = 4 \sqrt{2} m / s$

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