Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 5.4, Problem 24P
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The figure shows a control bar, subjected to a force of 90N. Since the length of the bar is 225 mm and the moment of the clockwise force on B is 13.5 N.m, determine the value of α. Solve the problem using scalar notation and explain your result.
Select the distance a between 2 m and 5 m and the force P between 15 kN and 35 kN in the cage system shown in the figure and find the rod forces. Also note that the forces on the rods did not compress my tension. (AE, AB, BE, DE, CD, BC, BD =?)
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d P = 525 N (C), V = 0, M = 29.8 N · m
Chapter 5 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
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 - Prob. 4FPCh. 5.4 - The 25 kg bar has a center of mass at G. If it is...Ch. 5.4 - Prob. 6FPCh. 5.4 - Prob. 10PCh. 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 - Prob. 15PCh. 5.4 - Determine the tension in the cable and the...Ch. 5.4 - Prob. 17PCh. 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 - Prob. 21PCh. 5.4 - If the intensity of the distributed load acting on...Ch. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - The mobile crane is symmetrically supported by two...Ch. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Determine the force P needed to pull the 50-kg...Ch. 5.4 - Prob. 30PCh. 5.4 - Prob. 31PCh. 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 - Prob. 34PCh. 5.4 - The smooth pipe rests against the opening at the...Ch. 5.4 - Prob. 36PCh. 5.4 - The cantilevered jib crane is used to support the...Ch. 5.4 - Prob. 38PCh. 5.4 - Prob. 39PCh. 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 - Prob. 43PCh. 5.4 - The 10-kg uniform rod is pinned at end A. If It is...Ch. 5.4 - Prob. 45PCh. 5.4 - Prob. 46PCh. 5.4 - Prob. 47PCh. 5.4 - Prob. 48PCh. 5.4 - The rigid metal strip of negligible weight is used...Ch. 5.4 - Prob. 50PCh. 5.4 - Prob. 51PCh. 5.4 - Prob. 52PCh. 5.4 - Prob. 53PCh. 5.4 - Prob. 54PCh. 5.4 - The uniform rod has a length I and weight W. It is...Ch. 5.4 - Prob. 56PCh. 5.4 - Prob. 57PCh. 5.4 - Prob. 58PCh. 5.4 - The rod supports a weight of 200 lb and is pinned...Ch. 5.4 - Prob. 60PCh. 5.4 - Prob. 61PCh. 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 - Prob. 7FPCh. 5.7 - Prob. 8FPCh. 5.7 - Prob. 9FPCh. 5.7 - Determine the support reactions at the smooth...Ch. 5.7 - Prob. 11FPCh. 5.7 - Determine the components of reaction that the...Ch. 5.7 - The uniform loads has a mass of 600 kg and is...Ch. 5.7 - Due to equal distribution of fuel in the wing...Ch. 5.7 - Prob. 5-63 5-64. Determine the components of...Ch. 5.7 - Prob. 65PCh. 5.7 - The smooth uniform rod AB is supported by a...Ch. 5.7 - The uniform concrete slab has a mass of 2400 kg....Ch. 5.7 - The 100-lb door has its center of gravity at G....Ch. 5.7 - Determine me tension in each cable and the...Ch. 5.7 - The stiff-leg derrick used on ships is supported...Ch. 5.7 - Determine the components of reaction at the...Ch. 5.7 - Determine the components of reaction at the...Ch. 5.7 - The bent rod is supported at A, B, and C by smooth...Ch. 5.7 - The bent rod is supported at A, B, and C by smooth...Ch. 5.7 - Prob. 75PCh. 5.7 - Prob. 76PCh. 5.7 - The member is supported by a square rod which fits...Ch. 5.7 - Prob. 78PCh. 5.7 - Prob. 79PCh. 5.7 - The bar AB is supported by two smooth collars. At...Ch. 5.7 - Prob. 81PCh. 5.7 - Prob. 82PCh. 5.7 - Prob. 83PCh. 5.7 - Both pulleys are fixed to the shaft and as the...Ch. 5.7 - Member AB is supported by a cable BC and at A by a...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 - Prob. 3RPCh. 5.7 - Prob. 4RPCh. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Prob. 6RPCh. 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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- A spring with a constant equal to 15 KN/m is connected to points C and F of the mechanism shown in the figure. Neglecting the weight of the spring and the mechanism, determine the force on the spring and the vertical displacement of point G when a force 120 N vertical, directed downward, applies a) at point Farrow_forwardIn the simple cage system in the figure, which of the following is the absolute value of the force carried by the CE element in kN?arrow_forwardThe system in the Figure is in equilibrium. A mass M1 = 246.0 kg hangs from the end of a uniform strut which is held at an angle theta = 40.0o with respect to the horizontal. The cable supporting the strut is at angle alpha = 24.4o with respect to the horizontal. The strut has a mass of 58.2 kg. Find the magnitude of the tension T in the cable. Find the magnitude of the horizontal component of the force exerted on the strut by the hinge? Find the magnitude of the vertical component of the force exerted on the strut by the hinge?arrow_forward
- The curved gate in Figure 3 is a 90º arc and is pivoted at O. It has a uniformly distributed mass of mL = 25 kg/m. Obtain a) the magnitude of the force per unit length FL to keep the gate closed and b) the components of the reaction at the hinge at point O for the case that the gate is L = 8.0 m longarrow_forwardFind the support reacions and joint force of the construction shown on the figure, if; P=12 kN q=9 kN/m M=12 kN and L=2 marrow_forwardA spring with a constant equal to 15 KN/m is connected to points C and F of the mechanism shown in the figure. Neglecting the weight of the spring and the mechanism, determine the force on the spring and the vertical displacement of point G when a force vertical 120 vertical, directed downward, is applied a) at point F and b) at points F and Darrow_forward
- in the system shown, the bar AB can withstand a tension of 4.90 kN, and a compression of 2.53 kN; the spring constant k is 2.85 kN / m, the spring's undeformed length is 0.433 m, the mass of W is 365 kg, and the force P makes an angle of 60 ° with the horizontal. Calculate the stretched length of the spring and the magnitude of the force P so that:- The bar fails due to tension- The bar fails due to compression NOTE 1: For the direction of the force P do not be guided by the drawing. The force P can point in any direction (all 4 quadrants) as long as it maintains the indicated angle with respect to the horizontal.arrow_forwardTwo gondolas on a ski lift are locked in the postion show in the figure while repairs are being made elsewhere.The distance between support towers is L = LOO ft.The length of each cable segement under gondolas weighing WB= 450 lb and Wc=650 lb are DAB=12 ft, DBC=70 a , and DCB=20 ft . The cable sag at B is AB = 3.9 ft and that C is A = 7.1 ft.THe effective cross-sectional area of the cables is Ae=0.12 in". (a) Find the tension force in each segment; neglect the mass of the cable. (b) Find the average stress(σ) in each cable segment.arrow_forwardFind the support reactions and joint force of the construction,shown on the figure ,if P=12 kN q=9 kN/m , M= 12 kN , and L=2marrow_forward
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