Laws Of Motion Question 406

Question: A boy of mass m is sliding down a vertical pole by pressing it with a horizontal force F. If $ \mu $ is the coefficient of friction between his palms and the pole, the acceleration with which he slides down is

Options:

A) $ g $

B) $ \frac{\mu F}{m} $

C) $ g+\frac{\mu F}{m} $

D) $ g-\frac{\mu F}{m} $

Show Answer

Answer:

Correct Answer: D

Solution:

Here, normal contact force $ N=F $ and friction force, $ f=\mu N $

So the free body diagram of boy is as shown adjacent in the above figure.

Now, $ ma=mg-f $

$ \Rightarrow $ $ a=g-\frac{\mu F}{m} $



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