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 53P
A boy stands out at the end of the diving board, which is supported by two springs A and B, each having a softness of k = 15 kN/m In the position shown the board is horizontal. If the boy has a mass of 40 kg, determine the angle of tilt which the board makes with the horizontal after he jumps off. Neglect the weight of the board and assume it is rigid.
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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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