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In Fig. 10-41, two blocks, of mass m1 ! 400 g and m2 ! 600

Chapter , Problem 83

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QUESTION:

In Fig. 10-41, two blocks, of mass m1 ! 400 g and m2 ! 600 g, are connected by a massless cord that is wrapped around a uniform disk of mass M ! 500 g and radius R ! 12.0 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 T1 in the cord at the left, and (c) the tension T2 in the cord at the right

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QUESTION:

In Fig. 10-41, two blocks, of mass m1 ! 400 g and m2 ! 600 g, are connected by a massless cord that is wrapped around a uniform disk of mass M ! 500 g and radius R ! 12.0 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 T1 in the cord at the left, and (c) the tension T2 in the cord at the right

ANSWER:

Step 1 of 6

Given values

Masses of the blocks

Mass of the disk,

Radius of the disk,

Moment of inertia of the disk,

Consider the diagram shown below

Let

Angular acceleration of the disk

Tension in the left cord

Tension in the right cord

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