motion on inclined plane

a block of mass m is placed on a smooth wedge of inclination theta The whole system is accelerated horizontally so that the block does not slip on the wedge The force exerted by the wedge on the block has a manitude is the ans (mg) or( mg cos theta)

3 Answers

11
Anirudh Narayanan ·

mgcosθ?

3
iitimcomin ·

if its smooth ...only normal force is applied by the wedge on the block ....mgcos(theta)

1
satan92 ·

well actually if the horizontal acceleration of the system is 'a'

then the net force acting on the block is ma in that direction as the block is at rest w.r.t the wedge

now , there are two forces acting on the block

(i)force by gravity mg downwards
(ii)force by wedge (let it be F at angle of theta to the reverse direction of mg

then as the net force exerted is ma along horizontal

Fcosθ=mg

and Fsinθ=ma

answer will be mg when a=0 or when you want the vertical component of the force

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