The figure below shows an arrangement in which four disks are suspended by cords

Question

The figure below shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 79 N on the wall to which it is attached. The tensions in the shorter cords are T1 = 45.0 N, T2 = 36.0 N, and T3 = 9.0 N.

What are the masses of each disk?

The figure below shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 79 N on the wall to which it is attached. The tensions in the shorter cords are T1 = 45.0 N, T2 = 36.0 N, and T3 = 9.0 N. What are the masses of each disk?

Explanation / Answer

T3 = mdg

md = 9/9.8 = .92 kg

T2 = (mc+md)g

mc = 2.75 kg

T1 = (mb + mc + md)g

mb = .922 kg

T = (ma + mb + mc + md)g

79 = (ma + mb + mc + md)g

ma = 3.47

ma = 3.47

mb = .922 kg

mc = 2.75 kg

md = .92 kg

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