EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Chapter 5, Problem 24P
To determine
The force
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Question 2:
The ideal spring of constant k-2.6 kN/m is attached to the disk at point A and the end fitting at point
B, as shown. The spring is unstretched when OA and Oв are both zero. If the disk is rotated 15° clockwise
and the end fitting is rotated 30°counterclockwise, determine the vector expression for the spring force
F.
Determine distance C so that the moment the spring force makes about the Z axis is equal to 10.82
N.m.
-
A = 15°1
A
250 mm
lllllll
900 mm k = 2.6 kN/m
OB = 30°
B
G
200 mm
Q4 - Two blocks A and B of weight 350 N and 600 N,
respectively are connected by a cord that passes over a
frictionless pulley, as shown in the Figure 8. Determine the
force P to be applied to block B to produce the impending
motion of block B down the plane.
Pa 0.5
50°
Pa 0.4
30°
The lamp shown in the figure is supported by a pole
AO and cables AC and AB. Each cable can sustain a
1.5 m
B
maximum tension of 500 N, and pole can withstand a
maximum compression of 300 N. Note that the force
in pole AO acts along its axis.
4 m
The coordinates of the points are: O (0, 0, 0);
A (2, -1.5, 6); B (-4, 1.5, 0); C (0, 1.5, 0)
Determine the maximum weight of the lamp that can
be supported.
2 m
6 m
/ /1.5 m
Draw all necessary FBD's to solve this problem. Put
1.5 m
units on your answers.
Chapter 5 Solutions
EBK ENGINEERING MECHANICS
Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - The truss is supported by a pin at A and a roller...Ch. 5 - Prob. 4FPCh. 5 - The 25 kg bar has a center of mass at G. If it is...Ch. 5 - Prob. 6FPCh. 5 - Determine the reactions at the supports. Prob....Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - Determine the reactions at the supports. Prob....Ch. 5 - A uniform glass rod having a length L is placed in...
Ch. 5 - If the intensity of the distributed load acting on...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 27PCh. 5 - Prob. 30PCh. 5 - Prob. 35PCh. 5 - The cantilevered jib crane is used to support the...Ch. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Determine the stiffness k of each spring so that...Ch. 5 - The boom supports the two vertical loads. Neglect...Ch. 5 - Prob. 43PCh. 5 - The 10-kg uniform rod is pinned at end A. If It is...Ch. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 53PCh. 5 - The uniform rod has a length I and weight W. It is...Ch. 5 - Prob. 7FPCh. 5 - Prob. 8FPCh. 5 - Prob. 9FPCh. 5 - Determine the support reactions at the smooth...Ch. 5 - Prob. 11FPCh. 5 - Determine the components of reaction that the...Ch. 5 - The uniform loads has a mass of 600 kg and is...Ch. 5 - The 100-lb door has its center of gravity at G....Ch. 5 - Determine me tension in each cable and the...Ch. 5 - The bent rod is supported at A, B, and C by smooth...Ch. 5 - The bent rod is supported at A, B, and C by smooth...Ch. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 80PCh. 5 - Prob. 82PCh. 5 - The bar AB is supported by two smooth collars. At...Ch. 5 - Prob. 84PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Both pulleys are fixed to the shaft and as the...Ch. 5 - Member AB is supported by a cable BC and at A by a...Ch. 5 - Prob. 2RPCh. 5 - Prob. 4RP
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- The mass in the figure is in balance with an AC cable and arc AB as in the figure. If the spring coefficient is k=1000 N/m and the unstressed length of the spring is 660 mm, which of the following is the force in the AD cable in kN for the position shown?arrow_forwardThere are two parallel forces and two pure moments in the figure. What distance "d" must separate the forces in order for the system to be in equilibrium? F = 9 N, M1 = 15 N-m, M2 = 69 N-m, = 60 degrees, a = 1 m, b = 1 m, c = 2 marrow_forward2: This fuel pump uses the reciprocating action of rocker arm ABC. The arm is pinned at B and is spring loaded at A and D. Calculate the forces acting at pin B and in the spring at point D. FA=60 N A 50 mm 10 mm D Fe= 125 N -20 mmarrow_forward
- 2. A pair of connected pulleys receive a force F = 100 N and P = 150 N as depicted in the image. The radius of pulley 1 is r₁ = 500 mm, and the radius of pulley 2 is r₂ = 950 mm. The pulley system has a radius of gyration of ko = 0.5 m and mass of 50kg. Determine the following: 1. Reaction force in the x direction 2. Reaction force in the y direction 3. Angular acceleration of the pulley F Parrow_forward5) In the figure shown below the person pulls the cable vertically downward to move box number 1, find the amount of tension in the cable at the start of the motion, assuming W1=W2= 500 N, µ1=0.3 and p2=0.6. 2marrow_forwardDraw the free body diagram (FBD) of the bolt of the mechanical jack in the locked state shown in the figure.arrow_forward
- The operation of the fuel pump for an automobile depends on the reciprocating action of the rocker arm ABC, which is pinned at B and is spring loaded at A and D. The smooth cam C is in the position shown. The vertical force acting on the rocker arm at A is F = 80 N, and at C it is Fc = 115 N. (Figure 1) Figure 10 m 1 of 1 > 20 mm- Part A Determine the z and y components of the reaction force on the rocker arm ABC at the pin for equilibrium. Express your answers using three significant figures separated by a comma. B. By Submit Part B Az it vec Bequest Answer FD- Value Determine the magnitude of the force along the spring DF for equilibrium, Express your answer to three significant figures and include the appropriate units. Submit Request Answer Units ? ? Narrow_forwardThe static moment of the connecting rod force F in relation to the pivot point O of the crank should be calculated for the position shown in the figure. Givens are: r = 300 mm, F = 1,2 kN, a = , a = 120, $ = 600 α A 4 Xarrow_forwardK1=4 K2=1 K3=8 K4=5arrow_forward
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