Question

Chapter 05, Problem 013 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 83.7 N on the wall to which it is attached. The tensions in the shorter cords are T, 61.8 N, T2 42.4 N, and Ta 7.98 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D? Units (a) Number Units (b) Number Units (c) Number Units (d) Number

Answer 1

here,

the magnitude of force , F = 83.7 N

T1 = 61.8 N , T2 = 42.4 N

T3 = 7.98 N

a)

for A

F - T1 = mA * g

83.7 - 61.8 = mA * 9.81

mA = 2.23 kg

b)

for B

T1 - T2 = mB * g

61.8 - 42.4 = mB * 9.81

mB = 1.98 kg

c)

for C

T2 - T3 = mC * g

42.4 - 7.98 = mC * 9.81

mC = 3.51 kg

d)

for D

T3 = mD * g

7.98 = mD * 9.81

mD = 0.81 kg