Consider the situation shown in figure (5-E9). All the surfaces are frictionless and the string and the pulley are light. Find the magnitude of the acceleration of the two blocks.

Question

Philoid · Accepted Answer

Mass of each block is 1 kg, sin θ1=45, sin θ2=35.
The free-body diagrams for both the boxes are shown below:

mgsinθ₁ − T = ma ...(i)
T − mgsinθ₂ = ma ...(ii)
Adding equations (i) and (ii),we get: mg(sinθ₁− sinθ₂) = 2ma
⇒ 2a = g (sinθ₁ − sinθ₂)
⇒ a= ×12 =