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)

Question

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)

Infinity Learn · Accepted Answer

a $$=$$ α$$RF-T$$ $$=$$ $$ma-----(i)Torque$$ 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)×$$3$$ $$=$$ $$8$$×$$2$$×$$14$$×$$43$$×$$3$$ $$=$$ $$1$$ $$m/s2$$

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 $gyration$ $k = \frac{2}{\sqrt{3}} m$ , R = 2 m, r = 1 m, and mass of the body m = 3 kg)

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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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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 $gyration$ $k = \frac{2}{\sqrt{3}} m$ , R = 2 m, r = 1 m, and mass of the body m = 3 kg)