First slide

Rolling motion

Question

A solid sphere of radius R is resting on a smooth horizontal surface. A constant force F is applied at a height h from the bottom. Choose the correct alternative :

Easy

A

Sphere will always slide whatever be the value of h
B

Sphere will roll without slipping when h₁<4R
C

Sphere will roll without slipping if h = 1.4 R
D

None of the above

Solution

For pure rolling a = Rα
$\large \frac {F}{m}=R\left [ \frac {F(h-R)}{\frac 25mR^2} \right ]\;or\;h - R = 0.4R \Rightarrow h = 1.4R$

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