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Mechanics Statics
Engineering Mechanics: Statics
140 SOLVED PROBLEMS
Question: 6.3
Bridge Design The loads a bridge structure must support and pin supports where the structure is to be attached are shown in Fig. 6.14(1). Assigned to design the structure, a civil engineering student proposes the structure shown in Fig. 6.14(2). What are the axial forces in the members? ...
Verified Answer:
The vertical members AG, BH, CI, DJ, and EK are su...
Question: 5.10
Reactions at Properly Aligned Hinges The plate in Fig. 5.34 is supported by hinges at A and B and the cable CE. The properly aligned hinges do not exert couples on the plate, and the hinge at A does not exert a force on the plate in the direction of the hinge axis. Determine the reactions at the ...
Verified Answer:
Draw the Free-Body Diagram We isolate the plate ...
Question: 4.22
The radius R of the steering wheel in Fig. 4.50 is 200 mm. The distance from O to C is 1 m. The center C of the steering wheel lies in the x-y plane. The force F = sin α(10i + lOj — 5k) N. Deteimine the value of α at which the magnitude of the moment of F about the shaft OC of the steering ...
Verified Answer:
In terms of the vector
r_{CA}
from ...
Question: 7.3
Centroid of a Composite Area Determine the centroid of the area in Fig. 7.8. ...
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Choose the Parts We can divide the area into a t...
Question: 6.11
The device in Fig. 6.41 is used to compress air in a cylinder by applying a couple M to the arm AB. The pressure p in the cylinder and the net force F exerted on the piston by pressure are P = Patm (v0/v), F = Apatm (V0/V – 1) where A = 0.02 m² is the cross-sectional area of the piston, patm = ...
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From the geometry of the arms AB and BC (Fig. a), ...
Question: 7.4
Centroid of an Area with a Cutout Determine the centroid of the area in Fig. 7.9. ...
Verified Answer:
Choose the Parts We will treat the area as a co...
Question: 5.13
The beam in Fig. 5.41 weighs 200 lb and is supported by a pin support at A and the wire BC. The wire behaves like a linear spring with spring constant k = 60 lb/ft and is unstretched when the beam is in the position shown.Determine the reactions at A and the tension in the wire when the beam is in ...
Verified Answer:
Let α be the angle from the horizontal to the cent...
Question: 7.12
Centroid of a Volume Containing a Cutout Determine the centroid of the volume in Fig. 7.24. ...
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Choose the Parts We can divide the volume into ...
Question: 7.13
Centroid of a Composite Line Determine the centroid of the line in Fig. 7.25. The quarter-circular arc lies in the y-z plane. ...
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Choose the Parts The line consists of a quarter...
Question: 2.9
Determining Scalar Components The tether of the balloon in Fig. 2.28 exerts an 800-N force F on the hook at O. The vertical line AB intersects the x-z plane at point A. The angle between the z axis and the line OA is 60°, and the angle between the line OA and F is 45°. Express F in terms of ...
Verified Answer:
In Fig. a, we resolve F into its y component [late...
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