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Q.

Find the acceleration of the body if a force F - 8 N pulls the string at P that passes over the body and it is connected by another string to a rigid support at Q.(Take radius ofgyration k=23m,R=2m,r=1m and mass of the body m=3 kg)

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a

1m/s2

b

1.5m/s2

c

1.2m/s2

d

2m/s2

answer is A.

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Detailed Solution

a=αRF−T=ma     .......(i) Torque about C: TR−Fr=Iα⇒ TR−Fr=mk2aRPut the value of T from equation (i)(F−ma)R−Fr=mk2aRF(R−r)=amk2R+mR⇒a=FR(R−r)k2+R2m=8×2×(2−1)43+4×3=8×2×14×43×3=1m/s2
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