Question

or the pulley system shown, ignore friction and air resistance. The pulley can be modeled as a disk

• M = 2 kg
• m = 0.2 kg
• R = 0.1 meters

a) What is the magnitude of the acceleration of the block, in m/s²?

b) What is the magnitude of the angular acceleration of the pulley, in rad/s²?

c) What is the magnitude of the torque exerted on the pulley, by the tension in the rope, in N⋅m?

M G O R a T 16 m mg

Answer 1

that given R TY لے m= o.2 kg M=2 R=ollm I= mp for disc 2 kg Now 2 mg mg-T=ma apply forque at point o z=Ish = R XP TR = I=I Ilohy Byo (mg-ma) R = F( 2 ) = (MP? 22 (8-9) = ma mg = (m the ac (0.2) (10) cons ong + 2 1 2 2 2 1.666 m/s² which is the acceleration of Angular acceleration a= 9 rad/s² => mg mas ma q a= a mt M 2 0.2+1 az the D And block = 1:6666 0.0

which is the acceleration of of 2 <= 16.666 vod/s31 angular 3 the pully e Torque T-R+T = PT - IL c=1MR =lme) (16-666) = 2(0.13? (16.666). Nm ?=0.16666 N-m As 2 fr
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