Apparent Weight of a Body in a Lift.

An object's apparent weight is the upward force (the normal force, or reaction force), typically transmitted through the ground, that opposes gravity and prevents a supported object from falling.

a)If acceleration is upwards

R- mg = ma

R = mg+ma

Apparent weight(R ) is greater than Actual Weight(mg)

b) If acceleration is downwards

R- mg =- ma

R = mg-ma

Apparent weight(R ) is less than Actual Weight(mg)

c) If acceleration is zero

R-mg= m(0)

R=mg

Apparent weight(R ) is equal to Actual Weight(mg)

Acceleration of Block on Smooth Inclined Plane.

Normal reaction R = mg cosθ

Force along a inclined plane

F = mg sinθ

ma = mg  sinθ

therfore               a = g sinθ