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Mechanics Statics
Engineering Mechanics Statics
122 SOLVED PROBLEMS
Question: 3.6
The force system shown consists of the couple C and four forces. If the resultant of this system is a 500-lb · in. counterclockwise couple, determine P, Q, and C. ...
Verified Answer:
This problem contains three unknowns:
P[/la...
Question: B.1
Find the smallest positive, nonzero root of f (x) = e^x cos x − 1 within five significant digits. Use (1) Newton’s method; and (2) the secant method. ...
Verified Answer:
To obtain an approximate value of the desired root...
Question: A.1
Evaluate the integral A =∫0^π/2 sin x dx (x is measured in radians) with four panels, using (1) the trapezoidal rule; and (2) Simpson’s rule. ...
Verified Answer:
Because the range of integration is
0≤x≤π/2...
Question: 10.6
For the system shown, determine (1) all values of θ at equilibrium; and (2) the stability of each equilibrium position. The homogeneous rod AB weighs 80 lb, and the ideal spring is unstretched when θ = 0. Neglect friction and the weights of the sliders at A and B. ...
Verified Answer:
The potential energy
V
of the syste...
Question: 10.5
A light rod is pin-supported at one end and carries a weight W at the other end, as shown in the figure. The ideal spring attached to the rod is capable of resisting both tension and compression, and it is unstretched when the rod is vertical. Find the largest value of W for which the vertical ...
Verified Answer:
The potential energy of the system consists of [la...
Question: 10.4
The mechanism in Fig. (a) consists of three homogeneous bars with the weights shown. A clockwise 500-lb · ft couple is applied to bar CD. Using instant centers of rotation, determine the couple C0 that must be applied to bar AB in order to maintain equilibrium. ...
Verified Answer:
The system possesses one degree of freedom, becaus...
Question: 10.3
The structure shown in Fig. (a) is obtained by fixing point B of the mechanism in Sample Problem 10.2. For θ1 = 30º, determine the pin reactions Bx and By. ...
Verified Answer:
Using
θ_{1}=30^\circ
, we found from...
Question: 10.2
The mechanism shown in the figure consists of two pin-connected, homogeneous bars of weight W and length L each. The roller at B moves in a horizontal slot, located at the distance 1.5L below the pin at O. Determine the force P that will hold the system in equilibrium for θ1 = 30º ...
Verified Answer:
The system has one
DOF
because only...
Question: 10.1
Compute the couple C0 that will support the load W. Neglect the weights of the bars. ...
Verified Answer:
Note that the system possesses one
DOF[/lat...
Question: 9.4
For the area shown in Fig. (a), calculate the radii of gyration about the x- and y-axes. ...
Verified Answer:
We consider the area to be composed of the three p...
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