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Mechanics Dynamics
,
Mechanics Statics
Vector Mechanics for Engineers Statics and Dynamics
2 SOLVED PROBLEMS
251 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: 9.SP.13
A thin steel plate that is 4 mm thick is cut and bent to form the machine part shown. The density of the steel is 7850 kg/m³. Determine the moments of inertia of the machine part with respect to the coordinate axes. ...
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MODELING and ANALYSIS: Computation of Masses. Semi...
Question: 9.SP.12
A steel forging consists of a 6 × 2 × 2-in. rectangular prism and two cylinders with a diameter of 2 in. and length of 3 in. as shown. Determine the moments of inertia of the forging with respect to the coordinate axes. The specific weight of steel is 490 lb/ft³. STRATEGY: Compute the moments of ...
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MODELING and ANALYSIS: Computation of Masses. Pris...
Question: 12.SP.10
A block B with a mass m can slide freely on a frictionless arm OA that rotates in a horizontal plane at a constant rate θ0. Knowing that B is released at a distance r0 from O, express as a function of r (a) the component vr of the velocity of B along OA, (b) the magnitude of the horizontal force F ...
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STRATEGY: You want to find a force, so use Newton’...
Question: 17.SP.6
Each of the two slender rods shown is 0.75 m long and has a mass of 6 kg. If the system is released from rest with β = 60°, determine (a) the angular velocity of rod AB when β = 20°, (b) the velocity of point D at the same instant. ...
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STRATEGY: You have two positions and are intereste...
Question: 17.SP.5
A large box with a mass m and a flat bottom rests on two identical homogeneous cylindrical rollers, where each has radius r and a mass half that of the crate. The system is released from rest on a plane that is inclined at angle ϕ to the horizontal. Determine the speed of the box at the instant when ...
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STRATEGY: You are interested in the velocity after...
Question: 17.SP.4
A 30-lb slender rod AB is 5 ft long and is pivoted about a point O that is 1 ft from end B. The other end is pressed against a vertical spring with a constant of k = 1800 lb/in. until the spring is compressed 1 in. The rod is then in a horizontal position. If the rod is released from this position, ...
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STRATEGY: Because you are given two positions, wan...
Question: 17.SP.3
A sphere, a cylinder, and a hoop, each having the same mass and the same radius, are released from rest on an incline. Determine the velocity of each body after it has rolled through a distance corresponding to a change in elevation h. ...
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STRATEGY: You are given two positions, want to fin...
Question: 12.SP.11
NASA flies a reduced-gravity aircraft (affectionately known as the Vomit Comet) in an elliptic flight to train astronauts in a microgravity environment. The plane is being tracked by radar located at O. When the plane is near the bottom of its trajectory, as shown, values from the radar tracking ...
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STRATEGY: You want to find the force the pilot exp...
Question: 12.CS.1
In 2001, drivers practicing for the Firestone Firehawk 600 CART series race (see racecar in CS Photo 12.1) complained of being dizzy and disoriented. Due to concerns over driver safety, the race was canceled (resulting in a huge loss of revenue and some ensuing lawsuits). The turns at the Texas ...
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STRATEGY: For the first part of the problem, we ar...
Question: 12.SP.12
A satellite is launched in a direction parallel to the surface of the earth with a velocity of 18,820 mi/h from an altitude of 240 mi. Determine the velocity of the satellite as it reaches its maximum altitude of 2340 mi. Recall that the earth’s radius is 3960 mi. ...
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STRATEGY: The satellite is acted on by a central f...
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