ENGINEERING MECHANICS Â?? STATICS
15th Edition
ISBN: 9780137519132
Author: HIBBELER
Publisher: PEARSON
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Chapter 5.4, Problem 2FP
Determine the horizontal and vertical components of reaction at the pin A and the reaction on the beam at C.
Prob. F5-2
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Problem 6 (Optional, extra 6 points)
150 mm
150 mm
120 mm
80 mm
60 mm
PROBLEM 18.103
A 2.5 kg homogeneous disk of radius 80 mm rotates with an
angular velocity ₁ with respect to arm ABC, which is welded
to a shaft DCE rotating as shown at the constant rate
w212 rad/s. Friction in the bearing at A causes ₁ to
decrease at the rate of 15 rad/s². Determine the dynamic
reactions at D and E at a time when ₁ has decreased to
50 rad/s.
Answer:
5=-22.01 +26.8} N
E=-21.2-5.20Ĵ N
Problem 1.
Two uniform rods AB and CE, each of weight 3 lb and length 2 ft, are welded to each other at their
midpoints. Knowing that this assembly has an angular velocity of constant magnitude c = 12 rad/s,
determine:
(1). the magnitude and direction of the angular momentum HD of the assembly about D.
(2). the dynamic reactions (ignore mg) at the bearings at A and B.
9 in.
3 in.
03
9 in.
3 in.
Answers: HD = 0.162 i +0.184 j slug-ft²/s
HG = 2.21 k
Ay =-1.1 lb; Az = 0; By = 1.1 lb; B₂ = 0.
Problem 5 (Optional, extra 6 points)
A 6-lb homogeneous disk of radius 3 in. spins as shown at the constant rate w₁ = 60 rad/s. The disk
is supported by the fork-ended rod AB, which is welded to the vertical shaft CBD. The system is
at rest when a couple Mo= (0.25ft-lb)j is applied to the shaft for 2 s and then removed. Determine
the dynamic reactions at C and D before and after the couple has been removed at 2 s.
4 in.
C
B
Mo
5 in
4 in.
Note: 2 rotating around CD induced by Mo is NOT
constant before Mo is removed.
and ₂ (two
unknowns) are related by the equation: ₂ =0+ w₂t
3 in.
Partial Answer (after Mo has been removed):
C-7.81+7.43k lb
D -7.81 7.43 lb
Chapter 5 Solutions
ENGINEERING MECHANICS Â?? STATICS
Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.4 - Draw the free body diagram of each object. Prob....
Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - The truss is supported by a pin at A and a roller...Ch. 5.4 - Determine the components of reaction at the fixed...Ch. 5.4 - The 25 kg bar has a center of mass at G. If it is...Ch. 5.4 - Determine the reactions at the smooth contact...Ch. 5.4 - Determine the components of the support reactions...Ch. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Determine the tension in the cable and the...Ch. 5.4 - The man attempts to a up port the toad of boards...Ch. 5.4 - Determine the components of reaction at the...Ch. 5.4 - The man has a weight W and stands at the center of...Ch. 5.4 - A uniform glass rod having a length L is placed in...Ch. 5.4 - The uniform rod AB has a mass of 40 kg. Determine...Ch. 5.4 - If the intensity of the distributed load acting on...Ch. 5.4 - If the roller at A and the pin at B can support a...Ch. 5.4 - The relay regulates voltage and current. Determine...Ch. 5.4 - Determine the reactions on the bent rod which is...Ch. 5.4 - The mobile crane is symmetrically supported by two...Ch. 5.4 - Determine the reactions acting on the smooth...Ch. 5.4 - A linear torsional spring deforms such that an...Ch. 5.4 - Determine the force P needed to pull the 50-kg...Ch. 5.4 - Determine the magnitude and direction of the...Ch. 5.4 - The operation of the fuel pump for an automobile...Ch. 5.4 - Determine the magnitude of force at the pin A and...Ch. 5.4 - The dimensions of a jib crane, which is...Ch. 5.4 - The dimensions of a jib crane, which is...Ch. 5.4 - The smooth pipe rests against the opening at the...Ch. 5.4 - The beam of negligible weight is supported...Ch. 5.4 - The cantilevered jib crane is used to support the...Ch. 5.4 - The cantilevered jib crane is used to support the...Ch. 5.4 - The bar of negligible weight is supported by two...Ch. 5.4 - Determine the stiffness k of each spring so that...Ch. 5.4 - The bulk head AD Is subjected to both water and...Ch. 5.4 - The boom supports the two vertical loads. Neglect...Ch. 5.4 - The boom is intended to support two vertical loads...Ch. 5.4 - The 10-kg uniform rod is pinned at end A. If It is...Ch. 5.4 - If the truck and its contents have a mass of 50 kg...Ch. 5.4 - Three uniform books each having a weight W and...Ch. 5.4 - Determine the reactions at the pin A and the...Ch. 5.4 - If rope BC will fail when the tension becomes 50...Ch. 5.4 - The rigid metal strip of negligible weight is used...Ch. 5.4 - The rigid metal strip of negligible weight is used...Ch. 5.4 - The cantilever footing is used to support a wail...Ch. 5.4 - The uniform beam has a weight Wand length l and is...Ch. 5.4 - A boy stands out at the end of the diving board,...Ch. 5.4 - The 30-N uniform rod has a length of l = 1 m. If s...Ch. 5.4 - The uniform rod has a length I and weight W. It is...Ch. 5.4 - I he uniform rod of length L and weight W is...Ch. 5.4 - Assuming that the foundation exerts a linearly...Ch. 5.4 - Assuming that the foundation exerts a linearly...Ch. 5.4 - If it is also subjected to a couple moment of 100...Ch. 5.4 - Determine the distance d for placement of the load...Ch. 5.4 - If d = 1 m, and = 30, determine me normal...Ch. 5.4 - The man attempts to pull the tour wheeler up the...Ch. 5.4 - Where is the best place to arrange most of the...Ch. 5.7 - Draw the free-body diagram of each object.Ch. 5.7 - In each case, write the moment equations about the...Ch. 5.7 - The uniform plate has a weight of 500 lb....Ch. 5.7 - Determine the reactions at the roller support A,...Ch. 5.7 - The rod is supported by smooth journal bearings at...Ch. 5.7 - Determine the support reactions at the smooth...Ch. 5.7 - Determine the force developed in the short link...Ch. 5.7 - Determine the components of reaction that the...Ch. 5.7 - Determine the tension each rope and the force that...Ch. 5.7 - If these components have weights WA = 45000 Wa =...Ch. 5.7 - Determine the components of reaction at the fixed...Ch. 5.7 - Determine the vertical reactions at the wheels C...Ch. 5.7 - Determine the components of reaction at A, the...Ch. 5.7 - Determine the tension in each of the three...Ch. 5.7 - Determine the components of reaction at hinges A...Ch. 5.7 - Determine me tension in each cable and the...Ch. 5.7 - The cables are attached to a smooth collar ring at...Ch. 5.7 - Determine the components of reaction at the...Ch. 5.7 - Determine the components of reaction at the...Ch. 5.7 - Determine the components of reaction at the...Ch. 5.7 - Determine the magnitude of F which will cause the...Ch. 5.7 - Determine the components of reaction at A and the...Ch. 5.7 - Determine the components of reaction at these...Ch. 5.7 - Determine the components or reaction at these...Ch. 5.7 - Compute the x, y, z components of reaction at the...Ch. 5.7 - Determine the magnitude of F2 which will cause the...Ch. 5.7 - At A the connection is with a ball-and-socket....Ch. 5.7 - If it is supported by a ball-and-socket joint at C...Ch. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Determine the horizontal tension T in the belt on...Ch. 5.7 - Determine the horizontal tension T in the belt on...Ch. 5.7 - Determine the components of reaction at A and the...Ch. 5.7 - If the roller at 8 can sustain a maximum load of 3...Ch. 5.7 - Determine the reactions at the supports A and B...Ch. 5.7 - Determine the normal reaction at the roller A and...Ch. 5.7 - Determine the horizontal and vertical components...Ch. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Determine the horizontal equilibrium force P that...Ch. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Determine the x and z components of reaction at...
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