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Mechanics Dynamics
Engineering Mechanics: Dynamics-Solution Manual [EXP-760]
998 SOLVED PROBLEMS
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A 0.03-lb bullet traveling at 1300 ft/s strikes the 10-lb wooden block and exits the other side at 50 ft/s as shown. Determine the speed of the block just after the bullet exits the block, and also determine how far the block slides before it stops. The coefficient of kinetic friction between the
Verified Answer:
\begin{aligned} (\underrightarrow{ + }) \qu...
A 0.03-lb bullet traveling at 1300 ft/s strikes the 10-lb wooden block and exits the other side at 50 ft/s as shown. Determine the speed of the block just after the bullet exits the block. Also, determine the average normal force on the block if the bullet passes through it in 1 ms, and the time
Verified Answer:
\begin{aligned} (\underrightarrow{ + }) \qu...
A 0.2-kg spool slides down along a smooth rod. If the rod has a constant angular rate of rotation θ = 2 rad/s in the vertical plane, show that the equations of motion for the spool are r – 4r – 9.81 sinθ = 0 and 0.8 r + Ns – 1.962 cosθ = 0, where Ns is the magnitude of the normal force of the rod
Verified Answer:
Kinematic: Here,
\dot{ \theta }. = 2 rad/s[...
A 1-lb ball A is traveling horizontally at 20 ft/s when it strikes a 10-lb block B that is at rest. If the coefficient of restitution between A and B is e = 0.6, and the coefficient of kinetic friction between the plane and the block is μk = 0.4, determine the time for the block B to stop sliding.
Verified Answer:
\begin{aligned} (\underrightarrow{+}) \quad...
A 2-lb block rests on the smooth semicylindrical surface at A. An elastic cord having a stiffness of k = 2 lb/ft is attached to the block at B and to the base of the semicylinder at C. If the block is released from rest at A, determine the longest unstretched length of the cord so the block begins
Verified Answer:
Equation of Motion: It is required that N = 0. App...
A 2-lb block rests on the smooth semicylindrical surface. An elastic cord having a stiffness k = 2 lb/ft is attached to the block at B and to the base of the semicylinder at point C. If the block is released from rest at A ( θ= 0° ), determine the unstretched length of the cord so that the block
Verified Answer:
+\swarrow \Sigma { F }_{ n }={ ma }_{ n };\...
A 20-lb block slides down a 30° inclined plane with an initial velocity of 2 ft/s. Determine the velocity of the block in 3 s if the coefficient of kinetic friction between the block and the plane is μk = 0.25.
Verified Answer:
(+\nwarrow )\quad \quad m{ (v }_{ v' })+\Si...
A 3-kg block is suspended from a spring having a stiffness of k = 200 N/m. If the block is pushed 50 mm upward from its equilibrium position and then released from rest, determine the equation that describes the motion. What are the amplitude and the frequency of the vibration? Assume that positive
Verified Answer:
{ \omega }_{ n }=\sqrt { \frac { k }{ m } }...
A 300-g ball is kicked with a velocity of vA=25m/s at point A as shown. If the coefficient of restitution between the ball and the field is e = 0.4, determine the magnitude and direction θ of the velocity of the rebounding ball at B.
Verified Answer:
Kinematics: The parabolic trajectory of the footba...
A 4-lb ball B is traveling around in a circle of radius r1 = 3 ft with a speed (vB)1 = 6 ft/s. If the attached cord is pulled down through the hole with a constant speed vr = 2 ft/s, determine the ball’s speed at the instant r2 = 2 ft. How much work has to be done to pull down the cord? Neglect
Verified Answer:
{ H }_{ 1 }={ H }_{ 2 }\\ \frac { 4 }{ 32.2...
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