Engineering Mechanics: Statics

8th Edition

ISBN: 9781118807330

Author: James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher: WILEY

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Textbook Question

Chapter 1, Problem 4P

A force is specified by the *x*-, *y*-, and *z*-axes.

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1. What is the force of vector A in the x direction?
2. What is the force of vector A in the y direction?

Find the angle α, for the vector making an angle by y and z axis as 60˚ and 45˚ respectively. It makes an angle of α with x-axis. The magnitude of the force is 200N.
a)90
b)45
c)60
d)120

A force of 500 N forms angles of 60°, 45°, and 120°, respectively, with the x, y, and z axes.Find the components Fx , Fy , and Fz of the force.

# Chapter 1 Solutions

Engineering Mechanics: Statics

Ch. 1 - Determine the angles made by the vector V=36i+15j...Ch. 1 - Determine the magnitude of the vector sum V=V1+V2...Ch. 1 - For the given vectors V1 and V2 of Prob. 1/2,...Ch. 1 - A force is specified by the vector...Ch. 1 - What is the mass in both slugs and kilograms of a...Ch. 1 - From the gravitational law calculate the weight W...Ch. 1 - Determine the weight in newtons of a woman whose...Ch. 1 - Suppose that two nondimensional quantities are...Ch. 1 - Compute the magnitude F of the force which the sun...Ch. 1 - Determine the small gravitational force F which...

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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions

Q1: Determine the magnitude and the direction measured from the positive X-axis of the resultant (R) for the force system shown in Figure (1)?

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Question 1-D) Find the intensity of the component of the force F in the direction parallel to the AO direction.Question 1-E) Convert the parallel component of the F force to the AO line into a Cartesian vector form and write its component in the x-axis direction.Question 1-F) Convert the parallel component of the F force to the AO line into a Cartesian vector form and write its component in the z-axis direction.

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The moment of a force about a point O in a 3D coordinate system is solved by computing the cross product of r x F. If r is given as the vector <10, -8, -12> and F is given as <10, -8, 2> what is the moment of F about point O, i.e. the cross product of the vectors r and F?

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Why is the v(x2) pointing upwards when the force P is pointing downwards thanks

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A force of 500 N forms angles of 60°, 45°, and 120°, respectively, with the x, y, and z axes. Find the components Fx, Fy, and Fz of the force and express the force in terms of unit vectors.

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Calculate the moment.
20-lb force 3ft. above the origin making an angle of 30 degree NE
100-lb force with a horizontal distance of 3 ft. and a vertical distance of 4 ft.
60-lb force with the same distance like the previous force but along positive x axis
100-lb force 4 ft. to the right of the origin and making an angle of 60 degree Sw

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Determine the magnitudes and components of vectors F1�1 and F2�2 and the angles α� and β�. Make sure your answers are exact.

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Point A (0,0,-1) Point B (-2,0,0)Point C (2,-2,2)Given the following points, what is resultant of the two forces: a 500N force directed along a line connecting points A and B & a 200N force directed along a line connecting points A and C.

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Given the geometry in the figure.F1 = 5 kN, F2 = 10 KN
What is the moment about A caused by the F1 = 5 kN force? (magnitude and direction)
What is the moment about A caused by the F2 = 10 kN force? (magnitude and direction)
What is the resultant moment about A caused by F1 and F2? (magnitude and direction)

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A 400-lb force F acts in the direction defined by the direction angles θx=70° and θy=50°. The z-component of the force is negative. Find the components of the force.

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Determine the magnitude and direction of the resultant of the following forces: 50 N at 50 degrees,60 N at 120 degrees,40 N at 220 degrees,30 N at 330 degrees. All angles are measure from the positive x-axis. Use the component method.
Select one:
a. 75 N: 42º
b. 50 N: 87º
c. 54 N: 87º
d. 101 N: 89º

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Force vector A = 45i kN
Force vector B = xi + yj kN
Force vector B has a magnitude of 60 kN and both of its components, along x, and y axis, are positive, the resultant of force vectors A and B is force vector C having a magnitude of 80 kN.
1. What is the value of angle between vector A and C? Express your answer in unit of degrees.
2. What is the value of angle between vector B and C? Express your answer in unit of degrees.
3. What is the scalar triple product of vectors A, B, and C?

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