Rotational Motion Question 183

Question: A sphere of mass ?m? is given some angular velocity about a horizontal axis through its centre and gently placed on a plank of mass ?m The coefficient of friction between the two is$\mu $ . The plank rests on a smooth horizontal surface. The initial acceleration of the plank is

Options:

A) Zero

B)$(7/5)\mu g$

C) $\mu g$

D) $2\mu g$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] FBD for sphere and block

$a _{1}=\frac{f _{r}}{m}=\frac{\mu mg}{m},a _{2}=\frac{f _{r}}{m}=\frac{\mu mg}{m}$

$\overset{\to }{\mathop{a _{1}}}=\mu g\hat{i},\overset{\to }{\mathop{a _{2}}}-\mu g\hat{i}$



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