Question

An Atwood's machine consists of blocks of masses m1 = 12.0 kg and m2 = 22.0...

An Atwood's machine consists of blocks of masses

m1 = 12.0 kg

and

m2 = 22.0 kg

attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass

M = 7.60 kg

and radius

r = 0.200 m.

The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping.

Two objects, blocks labeled m1 and m2, are connected to a cord which is hung over a pulley connected to the ceiling. The pulley is of mass M and radius r. A block labeled m1 hangs suspended on the left side of the pulley and the tension in the cord is labeled T1. A block labeled m2 hangs suspended on the right side of the pulley at a position lower than m1 and the tension in the cord is labeled T2. A vector labeled vector a is to the left of m1 and points up. A second vector labeled vector a is to the right of m2 and points down.

(a) Why must the tension T2 be greater than the tension T1?

(b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of

a.

)
m/s2

(c) Find the tensions T1 and T2.

T1 = N
T2 = N
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