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Mechanics Statics
,
Mechanics Dynamics
Vector Mechanics for Engineers Statics and Dynamics
2 SOLVED PROBLEMS
189 SOLVED PROBLEMS
Question: 5.9
A beam supports a distributed load as shown. (a) Determine the equivalent concentrated load. (b) Determine the reactions at the supports. ...
Verified Answer:
STRATEGY: The magnitude of the resultant of the lo...
Question: 6.S-P.6
A 600-lb horizontal force is applied to pin A of the frame shown. Determine the forces acting on the two vertical members of the frame. ...
Verified Answer:
Free Body: Entire Frame. The entire frame is chose...
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Question: 2.SP.7
A tower guy wire is anchored by means of a bolt at A. The tension in the wire is 2500 N. Determine (a) the components Fx, Fy, and Fz of the force acting on the bolt and (b) the angles θx, θy, and θz defining the direction of the force. STRATEGY: From the given distances, we can determine the length ...
Verified Answer:
MODELING and ANALYSIS: a. Components of the Force....
Question: 14.SP.2
A 20-lb projectile is moving with a velocity of 100 ft/s when it explodes into two fragments A and B, weighing 5 lb and 15 lb, respectively. Knowing that immediately after the explosion, fragments A and B travel in directions defined respectively by θA = 45° and θB = 30°, determine the velocity of ...
Verified Answer:
STRATEGY: There are no external forces, so apply t...
Question: 17.SP.11
A 0.05-lb bullet B is fired with a horizontal velocity of 1500 ft/s into the side of a 20-lb square panel suspended from a hinge at A. Knowing that the panel is initially at rest, determine (a) the angular velocity of the panel immediately after the bullet becomes embedded, (b) the impulsive ...
Verified Answer:
STRATEGY: Because you have an impact, use the prin...
Question: 17.SP.14
A square package of side a and mass m moves down a conveyor belt A with a constant velocity v1. At the end of the conveyor belt, the corner of the package strikes a rigid support at B. Assuming that the impact at B is perfectly plastic, derive an expression for the smallest magnitude of the velocity ...
Verified Answer:
STRATEGY: Because you have an impact, use the prin...
Question: 15.14
The crane shown rotates with a constant angular velocity V1 of 0.30 rad/s. Simultaneously, the boom is being raised with a constant angular velocity V2 of 0.50 rad/s relative to the cab. Knowing that the length of the boom OP is l = 12 m, determine (a) the velocity of the tip of the boom, (b) the ...
Verified Answer:
Frames of Reference. The frame OXYZ is fixed. We a...
Question: 15.13
The bent rod OAB rotates about the vertical OB. At the instant considered, its angular velocity and angular acceleration are, respectively, 20 rad/s and 200 rad/s², both clockwise when viewed from the positive Y axis. The collar D moves along the rod, and at the instant considered, OD = 8 in. The ...
Verified Answer:
Frames of Reference. The frame OXYZ is fixed. We a...
Question: 15.12
The rod AB, of length 7 in., is attached to the disk by a ball-and-socket connection and to the collar B by a clevis. The disk rotates in the yz plane at a constant rate v1 = 12 rad/s, while the collar is free to slide along the horizontal rod CD. For the position u = 0, determine (a) the velocity ...
Verified Answer:
a. Velocity of Collar. Since point A is attached t...
Question: 15.11
The crane shown rotates with a constant angular velocity V1 of 0.30 rad/s. Simultaneously, the boom is being raised with a constant angular velocity V2 of 0.50 rad/s relative to the cab. Knowing that the length of the boom OP is l = 12 m, determine (a) the angular velocity V of the boom, (b) the ...
Verified Answer:
a. Angular Velocity of Boom. Adding the angular ve...
Question: 15.10
In the Geneva mechanism of Sample Prob. 15.9, disk D rotates with a constant counterclockwise angular velocity VD of 10 rad/s. At the instant when f = 150°, determine the angular acceleration of disk S. ...
Verified Answer:
Referring to Sample Prob. 15.9, we obtain the angu...
Question: 15.9
The Geneva mechanism shown is used in many counting instruments and in other applications where an intermittent rotary motion is required. Disk D rotates with a constant counterclockwise angular velocity VD of 10 rad/s. A pin P is attached to disk D and slides along one of several slots cut in disk ...
Verified Answer:
We solve triangle OPB, which corresponds to the po...
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