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  • A wheel of mass M and radius R is placed on a horizontal plane. A horizontal impulse J is applied at a height h above the surface of the wheel. What would be the ratio of h/r so that the wheel just

A wheel of mass M and radius R is placed on a horizontal plane. A horizontal impulse J is applied at a height h above the surface of the wheel. What would be the ratio of h/r so that the wheel just starts rotating.

 

Option: 1

\frac{1}{2}


Option: 2

\frac{2}{3}


Option: 3

\frac{3}{2}


Option: 4

\frac{3}{4}


Answers (1)

best_answer

For pure rolling, let the impulse is acting at a height y above the central line.

\begin{aligned} & y=\frac{I_cm}{M R} \\ & y=\frac{\frac{1}{2} M R^2}{M R}=\frac{R}{2} \\ & h=y+R=\frac{R}{2}+R=\frac{3 R}{2} \\ & \frac{h}{R}=\frac{3}{2} \end{aligned}

Posted by

seema garhwal

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