# 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.

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

mgsinθ1T = ma ...(i)
T − mgsinθ2 = ma ...(ii)
Adding equations (i) and (ii),we get: mg(sinθ1 sinθ2) = 2ma
2a = g (sinθ1 − sinθ2)
a= ×12 =

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