Laws of MotionHard

Question

In the system shown in figure mA = 4m, mB = 3m and mC = 8m. Friction is absent everywhere. String is light and inextensible. If the system is released from rest find the acceleration of block B    

Options

A. (leftward)   
B. (leftward)   
C. (rightward)   
D. (rightward)   

Solution


a = b + c [string constrained]
T = mBb [Newtons II law for B in horizontal direction]
T = [mA + mc] c [Newton′s I law for A and C in horizontal direction]
mAg − T = mAa [Newton′s II law for A in vertical direction].


⇒ T =   ⇒ b =

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