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

Question

The figure 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 86.5 N on the wall to which it is attached. The tensions in the shorter cords are T1 = 55.6 N, T2 = 36.5 N, and T3 = 9.6 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D?

The figure 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 86.5 N on the wall to which it is attached. The tensions in the shorter cords are T1 = 55.6 N, T2 = 36.5 N, and T3 = 9.6 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D?

Explanation / Answer

a) 86.5 = T1 + mg

m = 86.5-55.6 / 9.8 = 3.15 kg

b) T1 - T2 = mg

55.6 - 36.5 = m x 9.8

m =2 kg

c) T2 - T3 =m x 9.8

m = 2.75 kg

d) T = mg

m = 0.98 kg

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