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Question

A block of mass m=2 kg on a smooth inclined plane at an angle 30 is connected to a second block of mass m2=3 kg by a cord passing over a frictionless pulley as shown in fig. The acceleration of each block (in m/s2) is
(assume g=10 m/sec2)


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Solution

NLM for m and m2 gives
m2gT=m2a.....(1)
Tmgsinθ=ma.....(2)
Adding (1) and (2)
m2gmgsinθ=(m+m2)a

a=Fnetm=30105=4 m/s2

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