PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Please solve this question in dynamics
The small end rollers of the 6.2-lb uniform slender bar are constrained to move in the slots, which lie in a vertical plane. At the instant when e = 30°, the angular velocity of the bar is 2.6 rad/sec counterclockwise.
Determine the angular acceleration of the bar, the reactions at A and B, and the accelerations of points A and B under the action of the 5.1-lb force P. Neglect the friction and mass of the small rollers. The angular
acceleration is positive if counterclockwise, negative if clockwise. The acceleration of A is positive if downward, negative if upward. The acceleration of B is positive if down the slot, negative if up the slot. The
reaction at A Is positive If to the right, negative If to the left. The reaction at 8 Is positive If up and to the right, negative If down and to the left.
L= 5.2 ft
107
P= 5.1 lb
Answers:
Jad/sec?
F =
Fg =
The circular concrete culvert rolls with an angular velocity of w = 0.48 rad/s when the man is at the position shown. At this instant the center of gravity of the culvert and the man is located at point G, and the radius of
gyration about G is ke = 3.6 ft.
4 ft
0.5 ft
Part A
Determine the angular acceleration of the culvert. The combined weight of the culvert and the man is 500 Ib. Assume that the culvert rolls without slipping. and the man does not move within the culvert.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
a =
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