Coupon Accepted Successfully!


Acceleration of Block on Smooth Inclined Plane

When an inclined plane is given a horizontal acceleration b Since the body lies in an accelerating frame, an inertial force (mb) acts on it in the opposite direction (Fig. 4).
Fig. 4
Normal reaction R = mg cosθ + mb sinθ
and ma = mg sin θ – mb cos θ
∴ a = g sinθ – b cosθ


Note: The condition for the body to be at rest relative to the inclined plane:
a = g sinθ – b cosθ = 0
∴ b = g tanθ

Test Your Skills Now!
Take a Quiz now
Reviewer Name