Mechanical Engineering License Review, Fifth Edition

Supplement A Mechanics

Questions and Answers

A-1

A projectile is fired at an angle of 37 with the horizontal at an initial velocity of 2,000 fps across terrain as shown in Fig. A-1. Find the time it takes to reach point L on the plateau.

A-2

A sphere weighs 1,500 lb. Find the tension in the wire and the direction and magnitude of the reaction at the hinge at A. Refer to Fig. A-2.

A-3

A rocket bomb weighs 14 tons, of which 6 are fuel plus oxygen. In order to simplify the calculations, suppose the rocket to be projected vertically upward and the stream of gas ejected to be at a constant rate of 260 lb per sec. The velocity of the gas stream is 6,400 fps. Neglect air resistance and the decrease of rocket weight. ( a) What maximum velocity will the rocket attain? ( b) To what height will it rise? ( c) With what velocity will it strike the earth in falling?

A-4

A single flat surface (vertical plate) is carried at a speed of 10 fps toward a nozzle that discharges water at 8 cfm at 50 fps. What force is required to carry the plate if it is maintained directly toward the nozzle? How much water hits the plate each minute?

A-5

A tank truck full of fresh water is proceeding along the road at 40 mph. The tank may be considered to be a cylinder with the diameter of 6 ft...

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