(1) The uniform slender bars AB and CD both have mass m and length L. The rigid

Question

(1) The uniform slender bars AB and CD both have mass m and length L. The rigid body composed of the two bars rotates about a fixed axis through point A. A moment couple of magnitude M about A is applied on the body as shown. The angular acceleration of the bar is: 12M (a)counterclockwise (bunterclockwise (c) , counterclockwise 3M ml2 3M 4ml 12M 5mL 12M 7muterclockwise unterclockwise L/2 ?12 (2) The 4 pulleys A, B, C and D are identical. The masses of the ropes that are wrapped around the pulleys are negligible, and these ropes do not slip relative to the pulleys. If the angular accelerations of these 4 pulleys subjected to the loading shown are ?.4, aa, ae and ?? , then (b) ?.-?,-@p

Explanation / Answer

1)The moment of inertia of the system about A =I= mL2/12+m*(L/2)2 + mL2/12+m*L2 =17mL2/12

torque applied = M

angular acceleration = M/I = 12M/17mL2 correct option is (e)

2) angular acceleration is given by torque/moment of inertia

torque in A=(20*1.2)-(10*1)=14 lb-ft

torque in B=10*1.2=12 lb-ft

torque in C=10*1.2=10*1.2=12 lb-ft

torque in D=10 lb-ft

D<C=B<A

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