A passenger lift has a mass of 100kg and is secured to the end of a cable connected to a hoist mechanism. Take the gravitational field, g, as 9.81m/s2.

a) The lift is suspended but stationary:

i) Draw a free body diagram (FBD) to represent the forces on the system, and hence derive an equation describing the forces acting on the lift.

ii) Calculate the tension force in the rope.

b) The lift now accelerates upwards at 2m/s²

1. Draw a free body diagram (FBD) to represent the forces on the system, and hence derive an equation describing the forces acting on the lift.
2. Calculate the tension force in the rope.