The concrete block weighing 644 lb is elevated by the hoisting mech- anism shown, where the cables are securely wrapped around the re- spective drums. The drums, which are fastened together and turn as a single unit about their mass center at O, have a combined weight of 322 lb and a radius of gyration about O of 18 in. If a constant tension P = 400 lb is maintained by the power unit at A, determine the vertical acceleration of the block and the resultant force on the bearing at O. Solve using; 24" (12" P = 400 lb (a) Two free body diagrams for concrete block and drum. W = 322 lb ko = 18" (b) One system block diagram ( concrete block and drum as one system). 45° A 644 lb

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.26P: The uniform plank is initially at rest on the fixed support at A and the stationary drum at B. If...
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The concrete block weighing 644 lb is elevated by the hoisting mech-
anism shown, where the cables are securely wrapped around the re-
spective drums. The drums, which are fastened together and turn as
a single unit about their mass center at 0, have a combined weight of
322 lb and a radius of gyration about O of 18 in. If a constant tension
P = 400 lb is maintained by the power unit at A, determine the vertical
acceleration of the block and the resultant force on the bearing at O.
Solve using;
24"
12"
P = 400 lb
(a) Two free body diagrams for concrete block and
drum.
W = 322 lb
ko = 18"
(b) One system block diagram ( concrete block and
drum as one system).
45°
A
644 lb
Transcribed Image Text:The concrete block weighing 644 lb is elevated by the hoisting mech- anism shown, where the cables are securely wrapped around the re- spective drums. The drums, which are fastened together and turn as a single unit about their mass center at 0, have a combined weight of 322 lb and a radius of gyration about O of 18 in. If a constant tension P = 400 lb is maintained by the power unit at A, determine the vertical acceleration of the block and the resultant force on the bearing at O. Solve using; 24" 12" P = 400 lb (a) Two free body diagrams for concrete block and drum. W = 322 lb ko = 18" (b) One system block diagram ( concrete block and drum as one system). 45° A 644 lb
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