PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 11, Problem 27P
To determine
The positions for equilibrium and investigate the stability for each position.
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Three forces, FA, FB, and FC, intersect at the origin. Only 2 of these forces are shown on the diagram. Find the magnitude of FC and its direction coordinate angles for equilibrium, given:FA = 825 N, α = 150 °, β = 75 °FB = 600 N, θ = 20 °, Φ = 30 °
Three forces, FA, FB, and FC, intersect at the origin. Only 2 of these forces are shown on the diagram. Find the magnitude of FC and its direction coordinate angles for equilibrium, given:FA = 825 N, α = 150 °, β = 75 °FB = 600 N, θ = 20 °, Φ = 30 °
Answers
The magnitude of FC is:
FC = 798 N
FC = 455 N
FC = 331 N
FC = 308 N
FC = 522 N
The direction coordinates angles of FC are:
αC
αC=69.1 °
αC=60.2 °
αC=40.7 °
αC=106 °
αC=43.8 °
βC
βC=101 °
βC=262 °
βC=149 °
βC=171 °
βC=109 °
γC
γC=65.3 °
γC=70.3 °
γC=111 °
γC=96.7 °
γC=1.70E2 °
If the potential energy for a conservative one degree-of-freedom system is expressed by the relation V = (24 sinθ + 10 cos 2θ ) ft⋅lb,
0° ≤ θ ≤ 180°,
a) Determine the equilibrium positions,
b) Investigate the stability at each position.
Chapter 11 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 11 - Determine the required magnitude of force P to...Ch. 11 - Determine the magnitude of force P required to...Ch. 11 - The linkage is subjected to a force P = 2 kN....Ch. 11 - Prob. 4FPCh. 11 - Determine the angle where the 50-kg bar is in...Ch. 11 - Prob. 6FPCh. 11 - The scissors jack supports a load P. Determine the...Ch. 11 - When = 20, the 50-lb uniform block compresses the...Ch. 11 - Prob. 8PCh. 11 - The thin rod of weight W rests against the smooth...
Ch. 11 - If each of the three links of the mechanism have a...Ch. 11 - Prob. 18PCh. 11 - The Nuremberg scissors is subjected to a...Ch. 11 - The potential energy of a one-degree-of-freedom...Ch. 11 - Prob. 27PCh. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - The uniform bar has a mass of 80 Kg. Determine the...Ch. 11 - Prob. 39PCh. 11 - The uniform rod has a mass of 100 kg. If the...Ch. 11 - Prob. 42PCh. 11 - The buck has a mass of 20 Mg and a mass center at...Ch. 11 - Prob. 45PCh. 11 - Prob. 1RPCh. 11 - Prob. 2RPCh. 11 - Prob. 4RPCh. 11 - Prob. 5RPCh. 11 - The uniform bar AB weighs 100 lb. If both spring...Ch. 11 - The spring attached to the mechanism has an...
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