4.3 PRACTICE PROBLEMS

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À  p

1. Determine the reactions at B, C and D.

2. Four masses are suspended by cables that are supported by pulleys. The frictionless pulleys are mounted on a flat ceiling. Each of the pulleys is a distance of 2m from the others. Determine the height of the center mass.

(ans. 1.03m)

3. The rod has a mass of 20lb., and the mass of joints A & B are both 5 lb. What is the tension `T' in the rope?

(ans. 18.2lb)

4 For the mass pulley system on the left, a) draw the force triangle on the right, with all angles and magnitudes indicated, then b) find the mass.

5. Given the three masses below, connected by a cable through three pulleys, determine the final resting height (h2) for the centre mass. Assume the pulleys are very small.

4.3.1 References

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Hibbeler, R.C., Engineering Mechanics: Statics and Dynamics, 6th edition, MacMillan Publishing Co., New York, USA, 1992.