Question

A 61.0 kg box hangs from a rope. What is the tension in the rope if:

a.) The box is at rest? - 598 N

b.) The box moves up a steady 4.90 m/s ?

c.) The box has vy = 5.40 m/s and is speeding up at 5.50 m/s2 ? The y axis points upward.

d.) The box has vy = 5.40 m/s and is slowing down at 5.50 m/s2 ?

Answer 1

Equation of motion

a)

Top left figure

When the box is at rest and in equilibrium

Tension in the rope

b)

Top right figure

When the box moves up with steady velocity

and in equilibrium

Tension in the rope

c)

Bottom left figure

The box is moving with velocity and speeding up with acceleration

Tension in the rope

d)

Bottom right figure

The box is moving with velocity and slowing down with acceleration

Tension in the rope