In the figure, two blocks, of mass m_1 = 469 g and m_2 = 641 g, are connected by

Question

In the figure, two blocks, of mass m_1 = 469 g and m_2 = 641 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 418 g and radius R = 12.7 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the tension T_1 in the cord at the left and (c) the tension T_2 in the cord at the right. (a) Number Units (b) Number Units (c) Number Units

Explanation / Answer

the mass of the disk

M=418g

the equivalent mass of disk

M'=418/2=209g

m1=469g

m2=641g

total mass

M"=209+469+641=1319g=1.319kg

A) the acceleration is

a=F/M''

a=(0.641-0.469)*9.8/1.319

a=1.28m/sec

in three significant figure

++++++++++++++++++++++++++++++++++

b)

T1=m1(g+a)

T1=0.469(9.8+1.28)

T1=5.20N

+++++++++++++++++++++++++++

C)

T2=m2(g+a)

T2=0.641(9.8+1.28)

T2=7.10N

in three significant figure

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