A body of mass $2 k g$ is lying on a rough inclined plane of inclination $30^{o}$ . Find the magnitude of the force parallel to he incline needed to make the block move
(a) up the incline
(b) down the incline, coefficient of static frinction $= 0.2$

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Solution

if we want to make the block up the incline plane , force should be equal and opposite to the net force acting down the Incline plane.
=μR+2g Sin30 °
=0.2 x (9.8) √3+2x9.8 x 1/2
=3.39 +9.8
=13N
with this minimum force the body move up the incline with a constant velocity as net force acting on it is zero.

b)Net force acting down the incline plane is given by :
F=2gsin30°- μR
=2x9.8 x 1/2 -3.39
=6.41 N
Due to F=6.41 N the body will move down the incline plane with acceleration . Hence the force required is zero.

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A body of mass 2 kg is lying on a rough inclined plane of inclination 30o. Find the magnitude of the force parallel to he incline needed to make the block move (a) up the incline(b) down the incline, coefficient of static frinction =0.2

A body of mass $2 k g$ is lying on a rough inclined plane of inclination $30^{o}$ . Find the magnitude of the force parallel to he incline needed to make the block move
(a) up the incline
(b) down the incline, coefficient of static frinction $= 0.2$