This is an atwood machine. The two masses are connected through the pully. M 1 =

Question

This is an atwood machine. The two masses are connected through the pully. M1=2kg and M2=1kg. the pulley is a uniform disk with mass M=1.0kg and radius R=5 cm and turns on a frictionless bearings.M1 was released from rest and it travels a height, h=5 m ( use all methods you know-Kinematics, energy methods, force/torque method).

1. Draw the free body diagram of the pulley and the two masses right after M1 is released from rest.

2. The acceleration of M1=

3. the speed of M2 when it reaches h=5 m=

4.the angular speed of the disk just before M1 strikes the ground =

Thank you!

Explanation / Answer

M1g-T=M1a

T-M2g=M2a

adding above equations

we can find a

acceleration of M1 and M2 is same

v2=2as

we know both a and s

we can find v, speed of mass M2

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