In the figure, two blocks, of mass m1 = 377 g and m2 = 571 g, are connected by a

Question

In the figure, two blocks, of mass m1 = 377 g and m2 = 571 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 530 g and radius R = 11.4 cm. The disk can rotate without friction about a fixed horizontal ax- through its center: the cord cannot slip ihe disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the tension T1 in the cord at the left and (c) the tension T2 in the cord at the right. 71 T2 i1 (a) Number (b) Number (c) Number Units Units Units

Explanation / Answer

a)

acceleration of the blocks = net force/total effective force

acceleration of the blocks = (m2 - m1)* 9.8/(m1 + m2 + 0.50 * M* R^2/R^2)

acceleration of the blocks = (0.571 - 0.377)* 9.8/(0.571 + 0.377 + 0.50 * 0.530 * R^2/R^2)

acceleration of the blocks = 1.57 m/s^2

the acceleration of the blocks is 1.57 m/s^2

b) For the tension T1

T1 - m1 * g = m1 * a

T1 = (0.377) * (9.8 + 1.57)

T1 = 4.29 N

the tension T1 is 4.29 N

c) in the right side

m2 * g - T2 = m2 * a

0.571 * 9.8 - T2 = 0.571 * 1.57

T2 = 4.7 N

the tension T2 is 4.7 N

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