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INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 5.4, Problem 1FP
Determine the horizontal and vertical components of reaction at the supports. Neglect the thickness of the beam.
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(30 pts) Problem 1
A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
mgr
4
is applied to the rod. Assume that the bowl is fixed and its rim is in the
horizontal plane.
HINT: It will help you to find the length l of that portion of the rod that remains outside the
bowl.
M
2r
a) How many degrees of freedom does this system have?
b) Write an equation for the virtual work in terms of the angle 0 and the motion of the
center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation
e) In the case of an applied moment (i.e., M
=
mgr
= -) derive an equation that can be used to
4
solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can…
Please show all work step by step
Chapter 5 Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
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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