EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137569830
Author: HIBBELER
Publisher: VST
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Chapter 10, Problem 3FP
Determine the moment of inertia of the shaded area about the y axis.
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Problem 10: If the bucket weighs 50 lb, determine
the tension developed in each of the wires.
B
$30°
5
E
D
130°
Problem 3: Four-Force Equilibrium
Knowing the forces in members A and C, determine the force of B and D, assuming the
system is in equilibrium. A structural joint is held in equilibrium by four forces acting along
different members.
•
Member A applies a force of 4 kN at an angle of 60° above the positive x-axis.
•
Member C applies a force of 2 kN horizontally to the left along the x-axis.
•
Member B applies an unknown force along the horizontal direction.
•
Member D applies an unknown force at an angle of 45° above the negative x-axis.
Determine the forces in members B and D, assuming the system is in static equilibrium.
4 kN
2 kN
C
45°
A
D
60°
FB
B
Problem 18: Determine the force in each member of the truss. State if the members are in
tension or compression.
3 ft
3 ft
3 ft
B
D
4 ft
4 ft.
130 lb
E
Chapter 10 Solutions
EBK ENGINEERING MECHANICS
Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of tire area about...Ch. 10 - Prob. 13PCh. 10 - Prob. 21PCh. 10 - Determine the moment of inertia of the beams...Ch. 10 - Prob. 6FPCh. 10 - Prob. 7FP
Ch. 10 - Prob. 8FPCh. 10 - Determine the moment of inertia of the composite...Ch. 10 - Determine the moment of inertia of the composite...Ch. 10 - Prob. 29PCh. 10 - Determine the moment of inertia for the beams...Ch. 10 - Determine the moment of inertia for the beams...Ch. 10 - Prob. 36PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - Prob. 50PCh. 10 - Determine the moment of inertia for the beams...Ch. 10 - Prob. 52PCh. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 66PCh. 10 - Prob. 67PCh. 10 - Prob. 84PCh. 10 - Prob. 85PCh. 10 - Prob. 87PCh. 10 - Determine the moment of inertia of the homogenous...Ch. 10 - Determine the moment of inertia of the...Ch. 10 - Prob. 90PCh. 10 - The concrete shape is formed by rotating the...Ch. 10 - The right circular cone is formed by revolving the...Ch. 10 - The pendulum consists of a 8-kg circular disk A, a...Ch. 10 - Determine the moment of inertia Ix of the frustum...Ch. 10 - Prob. 100PCh. 10 - Prob. 101PCh. 10 - Prob. 103PCh. 10 - Prob. 104PCh. 10 - Prob. 105PCh. 10 - Prob. 106PCh. 10 - Prob. 107PCh. 10 - Prob. 108PCh. 10 - Prob. 109PCh. 10 - Prob. 5RP
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- Problem 16: Determine the force in each of the member of the truss and state if the members are in tension or compression. Set P₁ = 10 kN, P2 = 8 kN. 2 m G F E A A 1 m B 2 m 1 m P1 Darrow_forwardProblem 7: Determine the force in each cord for equilibrium of the 60-kg bucket. D E 4 m 4 m B 3 m- 3 m- 3 m.arrow_forwardProblem 15: Determine the reactions at the pin A and the tension in cord BC. Set F = 40 kN. Neglect the thickness of the beam. 26 kN F 13 12 -2 m 4 m B 4arrow_forward
- Problem 21: Determine the force in members EF, CF, and BC and state if the members are in tension or compression. 1.5 m 4 kN E D 8 kN B 2 m 2 marrow_forwardProblem 8: If the cords suspend the two buckets in the equilibrium position, determine the weight of bucket B. Bucket A has a weight of 60 lb. E 65° C 20° 40° F B 20° Aarrow_forwardProblem 4: Four Force Equilibrium The members of a truss are connected at joint O. Determine the magnitudes of F₁ and F2 for equilibrium, assuming 0 = 60°. 5 kN 7 kN 70° 30°arrow_forward
- Problem 17: Determine the force in each member of the truss and state if the members are in tension or compression. Set P₁ = 9 kN, P2 = 15 kN. P₁ 3 m B P2 3m- D 4 marrow_forwardProblem (11): A pipe discharges an unknown fluid into the atmosphere from a tank of depth (h) through a pipe of length (L), and diameter (d). Given the values of L [m], d [cm], and (h) [cm], calculate the discharge rate (Q) [lit/s] that would maintain Laminar flow in the pipe with a Reynolds number of Re=1500. Ignore minor losses. h darrow_forwardProblem 6: Two-Force Equilibrium Determine the angle 0 for connecting member B to the plate so that the resultant angle of FA and FB is directed along the positive x axis. What is the magnitude of the resultant force? -30° FA = 400 lb B x FB = 500 lbarrow_forward
- Staticsarrow_forwardProblem 12: Determine the moment about point O. And determine if it is clockwise or counterclockwise? 0.4 m 45° 0.3 m F=300 N 30°arrow_forwardWind at 10℃ blows against the 30-m-high chimney at 2.5 m/s. If the diameter of the chimney is 2 m, determine the moment that must be developed at its base to hold it in place. Consider the chimney to be a rough cylinder.arrow_forward
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moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY