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 o connected by another string to a rigid support at Q. (Take radius of gyration k = 23m, R = 2 m, r = 1 m, and mass of the body m = 3 kg)

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1 m/s2

1.5 m/s2

1.2 m/s2

2 m/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) = a[mk2R+mR] ⇒a = FR(R-r)(k2+R2)m = 8×2×(2-1)(43+4)×3 = 8×2×14×43×3 = 1 m/s2

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