Question 2

A heavy object is lifted using two ropes and two pulleys, as shown in the diagram below. The two pulleys are a distance x apart. The force FA, in rope A, is 730 N and the force FB, in rope B, is 1 440 N. Rope A makes an angle of 70° with the horizontal and rope B makes an angle of 10° with the vertical.

2.1 Define the term resultant vector. (2)

2.2 Explain why the vector diagram of force FA, force FB and the weight will NOT be a closed vector diagram. (2)

2.3 Calculate the:

2.3.1 Vertical component of FA (2)

2.3.2 Horizontal component of FA (2)

2.4 Calculate the maximum weight that force FA and force FB will be able to lift from the ground. Show ALL calculations. (4)

2.5 Explain why the rope and pulley system will be less effective if the distance x between the pulleys is increased. (2)

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