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Mechanics Dynamics
Vector Mechanics for Engineers: Statics and Dynamics
2 SOLVED PROBLEMS
181 SOLVED PROBLEMS
1 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: 17.SP.11
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 ...
Verified Answer:
Principle of Impulse and Momentum. Since the impac...
Question: 17.SP.10
A 2-kg sphere moving horizontally to the right with an initial velocity of 5 m/s strikes the lower end of an 8-kg rigid rod AB. The rod is suspended from a hinge at A and is initially at rest. Knowing that the coefficient of restitution between the rod and the sphere is 0.80, determine the angular ...
Verified Answer:
Principle of Impulse and Momentum. We consider the...
Question: 17.SP.9
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:
Principle of Impulse and Momentum. We consider the...
Question: 17.SP.8
Two solid spheres of radius 3 in., weighing 2 lb each, are mounted at A and B on the horizontal rod A′B′, which rotates freely about the vertical with a counterclockwise angular velocity of 6 rad/s. The spheres are held in position by a cord which is suddenly cut. Knowing that the centroidal moment ...
Verified Answer:
a. Principle of Impulse and Momentum. In order to ...
Question: 17.SP.7
A uniform sphere of mass m and radius r is projected along a rough horizontal surface with a linear velocity v1 and no angular velocity. Denoting by μk the coefficient of kinetic friction between the sphere and the surface, determine (a) the time t2 at which the sphere will start rolling without ...
Verified Answer:
While the sphere is sliding relative to the surfac...
Question: 16.SP.10
The extremities of a 4-ft rod weighing 50 lb can move freely and with no friction along two straight tracks as shown. If the rod is released with no velocity from the position shown, determine (a) the angular acceleration of the rod, (b) the reactions at A and B. ...
Verified Answer:
Kinematics of Motion. Since the motion is constrai...
Question: 16.SP.8
A sphere of radius r and weight W is released with no initial velocity on the incline and rolls without slipping. Determine (a) the minimum value of the coefficient of static friction compatible with the rolling motion, (b) the velocity of the center G of the sphere after the sphere has rolled 10 ...
Verified Answer:
a. Minimum
\mu_s
for Rolling Motion...
Question: 16.SP.7
A 6 × 8 in. rectangular plate weighing 60 lb is suspended from two pins A and B. If pin B is suddenly removed, determine (a) the angular acceleration of the plate, (b) the components of the reaction at pin A, immediately after pin B has been removed. ...
Verified Answer:
a. Angular Acceleration. We observe that as the pl...
Question: 16.SP.2
The thin plate ABCD of mass 8 kg is held in the position shown by the wire BH and two links AE and DF. Neglecting the mass of the links, determine immediately after wire BH has been cut (a) the acceleration of the plate, (b) the force in each link. ...
Verified Answer:
Kinematics of Motion. After wire BH has been cut, ...
Question: 16.SP.1
When the forward speed of the truck shown was 30 ft/s, the brakes were suddenly applied, causing all four wheels to stop rotating. It was observed that the truck skidded to rest in 20 ft. Determine the magnitude of the normal reaction and of the friction force at each wheel as the truck skidded to ...
Verified Answer:
Kinematics of Motion. Choosing the positive sense ...
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Question: 3.2
A force of 800 N acts on a bracket as shown. Determine the moment of the force about B. ...
Verified Answer:
The moment
{M}_{B}
of the force F a...
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