INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 5.4, Problem 28P
A linear torsional spring deforms such that an applied couple moment M is related to the spring’s rotation B in radians by the equation M = (20 θ) N · m. If such a spring is attached to the end of a pin-connected uniform 10-kg rod, determine the angle d for equilibrium. The spring is undeformed when θ = 0°.
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motor supplies 200 kW at 6 Hz to flange A of the shaft shown in Figure. Gear B transfers 125 W of power to operating machinery in the factory, and the remaining power in the shaft is mansferred by gear D. Shafts (1) and (2) are solid aluminum (G = 28 GPa) shafts that have the same diameter and an allowable shear stress of t= 40 MPa. Shaft (3) is a solid steel (G = 80 GPa) shaft with an allowable shear stress of t = 55 MPa. Determine:
a) the minimum permissible diameter for aluminum shafts (1) and (2)
b) the minimum permissible diameter for steel shaft (3).
c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).
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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