A wedge of mass 1 kg is kept on a smooth ground. A small block of same mass can move along the frictionless surface of the wedge. The angle of inclination of wedge is 30° with the horizontal. Find the

Question

A wedge of mass 1 kg is kept on a smooth ground. A small block of same mass can move along the frictionless surface of the wedge. The angle of inclination of wedge is 30° with the horizontal. Find the normal force acting on ground (in N).

TestHub · Accepted Answer

Let the wedge accelerate at A and the block slide down relative to it at a r ​ Equations: N sin 3 0 ∘ = M A , m g sin 3 0 ∘ + m A cos 3 0 ∘ = m a r ​ , N + m A sin 3 0 ∘ = m g cos 3 0 ∘ Solving with M = m = 1 kg: a r ​ = M + m s i n 2 3 0 ∘ ( M + m ) g s i n 3 0 ∘ ​ = 1.25 20 × 0.5 ​ = 8 m/s 2 Ground normal: N g ​ = ( M + m ) g − m a r ​ sin 3 0 ∘ = 20 − 4 = 16 N

Physics - NLM Question with Solution | TestHub

Doubts & Discussion