Answer to Question #254540 in Physics for Dcgfxv

Question #254540

 a 1.5 kg block is hung by a light string which is wound around a 

 smooth pulley of radius 20 cm. The moment of inertia of the pulley is 2 kg m2

(i) Sketch the free body diagram of the 1.5 kg block.

(ii) When the mass is released from rest, calculate the angular velocity and number of 

revolutions of the pulley at t = 4.2 s.


1
Expert's answer
2021-10-21T16:34:05-0400

α=mgr(m+0.5M)ω=1.5(9.8)0.2(1.5+0.5(2))4.2=123.5radsn=1.5(9.8)0.2(1.5+0.5(2))4.222(2π)=41.3\alpha=\frac{mg}{r(m+0.5M)}\\\omega=\frac{1.5(9.8)}{0.2(1.5+0.5(2))}4.2=123.5\frac{rad}{s}\\ n=\frac{1.5(9.8)}{0.2(1.5+0.5(2))}\frac{4.2^2}{2(2\pi)}=41.3


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