Exercise 5.15 A load of bricks with mass m1 = 14.2 kg hangs from one end of a ro

Question

Exercise 5.15 A load of bricks with mass m1 = 14.2 kg hangs from one end of a rope that passes over a small, frictionless pulley. A counterweight of mass m2 = 27.4 kg is suspended from the other end of the rope, as shown in the figure. (Figure 1) The system is released from rest. Use g = 9.80 m/s2 for the magnitude of the acceleration due to gravity.

Part A What is the magnitude of the upward acceleration of the load of bricks? m/s2

Part B What is the tension in the rope while the load is moving?

Explanation / Answer

let

m1 = 14.2 kg

m2 = 27.4 kg

let a is the acceleration of the load of bricks.

a)

a = (m2 - m1)*g/(m1+m2)

= (27.4 - 14.2)*9.8/(14.2 + 27.4)

= 3.11 m/s^2

b) Tension in the rope while load is moving, T = m1*g + m1*a

= m1*(g+a)

= 14.2*(9.8 + 3.11)

= 183 N

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