Question

Find the Force Normal on the block if the angle of inclination is just enough to get the block to start moving from rest. The coefficient of friction between the block and the surface is 0.27.

Answer 1

Answer:

Explanation:

Given

coefficient of friction $\mu =0.27$

It is also stated that block is about to move

suppose W is the weight of block

Force acting on block is Friction force , Gravity Force

Sin component of weight will try to move the block and friction Force will try to stop it

thus $W\sin \theta =f_r$

and friction force is given by

$f_r=\mu W\cos \theta$

$W\sin \theta =\mu W\cos \theta$

$\tan \theta =\mu$

$\theta =tan^{-1}(0.27)$

$\theta =15.109^{\circ}$

Normal Force will be $N=W\cos \theta$

$N=W\times 0.965$

$N=0.965 W$