PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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5 - note: ignore weight of the bar.A) ( - 6/7)T(CB) + A(y)=0
(A=reaction force at A, A(x), A(y), A(z) are components of force A)B) (2/7)T(CB)+A(x)=392
(A=reaction force at A, A(x), A(y), A(z) are components of force A)C) A(x)=2A(y)
(A=reaction force at A, A(x), A(y), A(z) are components of force A)D) A(x)=5A(z)
(A=reaction force at A,A(x), A(y), A(z) are components of force A)
A man who weighs 800 N, is climbing a uniform ladder that is 5.0 m long and weighs 180 N. The bottom of the ladder rests on the ground at A and leans against a frictionless wall at B. The ladder makes an angle of ? = 53.13° (3-4-5 right triangle) with the horizontal. The man pauses one-third of the way up the ladder.
Find the normal force on the base of the ladder.
Find the friction force on the base of the ladder.
Find the minimum coefficient of static friction needed to prevent slipping at the base.
Find the magnitude of the contact force on the base of the ladder. HINT: The components of the contact force FB at the base are the static friction force and the normal force.
Find the direction of the contact force on the base of the ladder. HINT: The components of the contact force FB at the base are the static friction force and the normal force.
For Probs. 1-3, (a) draw the free-body diagrams for the entire assembly (or structure) and each of its parts.
Neglect friction and the weights of the members unless specified otherwise. Be sure to indicate all relevant
dimensions. For each problem, (b) determine the total number of unknown forces and the total number of
independent equilibrium equations.
Problem 1
500 N
500 N
1 m
500 N
(b)
(c)
Figure 1
Problem 2
-- Ift
4 ft
-1.8 ft
100 lb
F1.8 ft -
100 lb
100 lb
(а)
(b)
(c)
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