Scottish school exams

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3. (a) Figure 3 shows packing cases, each weighing 500 lb., sliding down a
chute AB, connecting two floors of a factory. The coefficient of friction
is 0-3. If the cases pass the point A at 1 ft. per sec., determine:—
(i) the velocity at which the cases pass point B; (12)
(ii) the time taken for each case to descend from A to B. (3)
(b) A shaft of 3-| in. diameter, running at a speed of 240 rev. per min., is
supported by a bearing on which it exerts a force of 300 lb. If the coefficient
of friction between shaft and bearing is 0 • 04, determine the horse power
absorbed by friction. (5)
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