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# Laws of Motion : Connected motion

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(Please see the attached file for detailed problem and fig.)

The two blocks, m1 = 3.0 kg and m2 = 4.9 kg, in the figure (see attachment) are connected by a massless rope that passes over a pulley. The pulley is 12 cm in diameter and has a mass of 2.0 kg. As the pulley turns, friction at the axle exerts a torque of magnitude 0.38 Nm. If the blocks are released from rest, how long does it take the 4.9 kg block to reach the floor from a height of h = 1.0 m?

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The expert examines the connected motion laws. A step by step solution is provided.

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Please refer to the attachment.

Let the acceleration of the masses be a.

We can write the following equations for the two masses :

T1 - 3g = 3a ........(1)

4.9g - T2 = 4.9a ........(2)

For the pulley, moment of inertia I = ½ MR2 = ½ x 2 x 0.062 = ...

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