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The masses are interconnected with the pulley system neglecting inertial and frictional effect of pulleys and cord, determine the acceleration of the mass m2.

Take m1=50 kg and m2=40 kg.

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T1a1=T2.a22T.a1=T.a2a2=2a1

From FBD of block 1,

fy=02T+ma1=50×9.812T+50a1=490.5(1)

From FBD of block 2,

fy=0Tma2=40×9.81T40×2a1=392.4(2)T=280.28N

and a1=1.40m/s2

Acceleration of the mass m2=a2=2.80m/s2

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