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Mechanics Statics
Engineering Mechanics: Statics [EXP-9576]
120 SOLVED PROBLEMS
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Question: 4.13
(1) Draw the FBDs for the entire frame in Fig. (a) and for each of its parts. The weights of the members are negligible. The cable at C is attached directly to the pin. (2) Determine the total number of unknowns and the total number of independent equilibrium equations, assuming that P is known.
Verified Answer:
Part 1 The forces on each of the FBDs are describe...
Question: 4.12
(1) Referring to Fig. (a), draw the FBD for the entire frame and for each of its parts, neglecting the weights of the members. (2) Determine the total number of unknowns and the total number of independent equilibrium equations, assuming that the force P and couple C0 are known.
Verified Answer:
Part 1 The force system on each of the FBDs is des...
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: 6.2
A pin-connected circular arch supports a 5000N vertical load as shown in Fig. (a). Neglecting the weights of the members, determine the normal force, shear force, and bending moment that act on the cross section at 1.
Verified Answer:
The FBD of the entire arch is shown in Fig. (b). T...
Question: 4.3
A rigid frame is fabricated by joining the three bars with pins at B, C, and D, as shown in Fig. (a). The frame is loaded by the 5000-N force and the 1800-N ·m couple. The supports consist of a pin at A and a roller support at E. Draw the FBD of the frame, neglecting the weights of the members
Verified Answer:
The FBD of the entire frame is shown in Fig. (b). ...
Question: 2.9
A section of a piping system is acted on by the three couples shown in Fig. (a).Determine the magnitude of the resultant couple-vector C^R and its direction cosines, given that the magnitudes of the applied couples are C1 =50 N · m, C2 =90 N · m, and C3 =140 N · m.
Verified Answer:
Applying the right-hand rule to each of the three ...
Question: 8.15
A swimming pool is filled with water to a depth of 3 m, as shown in Fig. (a).Determine the magnitude and line of action of the resultant force that acts on the circular portion AB of the wall. The length of the wall (dimension perpendicular to the paper) is 25 m, and the mass density of water is
Verified Answer:
The free-body diagram of the water contained in th...
Question: 3.12
After a severe rainstorm, the flat roof of the building shown in Fig. (a) is covered by 75mm of rainwater. The specific weight of water is 10,000 N/m^3, so water at a depth of 75mm causes a uniform pressure of 10,000(75/1000)=750 N/m^2. Determine the resultant force that the water exerts on the
Verified Answer:
The load diagram in Fig. (b) can be divided into t...
Question: 7.17
An 400-N shopping cart with 180-mm diameter wheels rolls down a ramp with constant speed. If the slope angle of the ramp is 1.5°, what is the coefficient of rolling resistance?
Verified Answer:
Consider the FBD of one wheel of the cart shown in...
Question: 4.15
An 80-N box is placed on a folding table as shown in Fig. (a). Neglecting friction and the weights of the members, determine all forces acting on member EFG and the tension in the cable connecting points B and D.
Verified Answer:
Method of Analysis We begin by considering the FBD...
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