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dynamics Dynamics 4

Two cars A and B have a mass of 2 Mg and 1.5 Mg, respectively. Determine the magnitudes of v(A) and v(B) if the cars collide and stick together while moving with a common speed of 50 km/h in the direction shown.

The 20 lb cart is supported on rollers of negligible size. If a 10 lb suitcase A is thrown horizontally onto the cart at 10 ft/s when it is at rest, determine the length of time that A slides relative to B, and the final velocity of A and B. The coefficient of kinetic friction between A and B is .4. Determine the distance B moves at the instant A stops relative to B.

The cue ball A is given an initial velocity V(A1)=5 m/s. If it makes a direct collision with ball B (e=0.8), determine the velocity of B and the angle theta just after it rebounds from the cushion at C (e=.6). Each ball has a mass of 0.4 kg. Neglect the size of each ball.

The 2 kg ball is thrown at the suspended 20 kg block with a velocity of 4 m/s. The coefficient of restitution between the ball and the block is e=0.8. a) Determine the maximum height h to which the block will swing before it momentarily stops. b) If the time of impact between the ball and the block is .005 s, determine the average normal force exerted on the block during this time. Take e=0.8 .

Disks A and B have a mass of 6 kg and 4 kg, respectively. If they are sliding on the smooth horizontal plane with the velocities shown, determine their speeds just after impact. The coefficient of restitution between the disks is 0.6 .

The 20 lb cart is supported on rollers of negligible size. If a 10 lb suitcase A is thrown horizontally onto the cart at 10 ft/s when it is at rest, determine the length of time that A slides relative to B, and the final velocity of A and B. The coefficient of kinetic friction between A and B is .4. Determine the distance B moves at the instant A stops relative to B.

The cue ball A is given an initial velocity V(A1)=5 m/s. If it makes a direct collision with ball B (e=0.8), determine the velocity of B and the angle theta just after it rebounds from the cushion at C (e=.6). Each ball has a mass of 0.4 kg. Neglect the size of each ball.

The 2 kg ball is thrown at the suspended 20 kg block with a velocity of 4 m/s. The coefficient of restitution between the ball and the block is e=0.8. a) Determine the maximum height h to which the block will swing before it momentarily stops. b) If the time of impact between the ball and the block is .005 s, determine the average normal force exerted on the block during this time. Take e=0.8 .

Disks A and B have a mass of 6 kg and 4 kg, respectively. If they are sliding on the smooth horizontal plane with the velocities shown, determine their speeds just after impact. The coefficient of restitution between the disks is 0.6 .

The torsional pendulum (wheel) undergoes oscillations in the horizontal plane, such that the angle of rotation, measured from the equilibrium position, is given by theta=.5sin(3t) rad, where t is in seconds. Determine the maximum velocity of point A located at the periphery of the wheel while the pendulum is oscillating. What is the acceleration of point A in terms of t?

If the 50 mm radius motor pulley A of the clothes dryer rotates with an angular acceleration of alpha=(10+50t) rad/s^2, where t is in seconds, determine its angular velocity when t=3 s, starting from rest.

The vertical axis windmill consists of two blades that have a parabolic shape. If the blades are originally at rest and begin to turn with a constant angular acceleration of alpha=.5 rad/s^2, determine the magnitude of the velocity and acceleration of points A and B on the blade when t=4 s.

For a short time, gear A of the automobile starter rotates with an angular acceleration of alpha=50w^.5 rad/s^2, where w is in rad/s. Determine the angular vvelocity of gear B after gear A has rotated 50 rev, starting from rest. The radii of gears A and B are 10 mm and 25 mm respectively.

If the hydraulic cylinder AB is extending at a constant rate of 1 ft/s, determine the dumpster's angular velocity at the instant theta=30 degrees.

If the 50 mm radius motor pulley A of the clothes dryer rotates with an angular acceleration of alpha=(10+50t) rad/s^2, where t is in seconds, determine its angular velocity when t=3 s, starting from rest.

The vertical axis windmill consists of two blades that have a parabolic shape. If the blades are originally at rest and begin to turn with a constant angular acceleration of alpha=.5 rad/s^2, determine the magnitude of the velocity and acceleration of points A and B on the blade when t=4 s.

For a short time, gear A of the automobile starter rotates with an angular acceleration of alpha=50w^.5 rad/s^2, where w is in rad/s. Determine the angular vvelocity of gear B after gear A has rotated 50 rev, starting from rest. The radii of gears A and B are 10 mm and 25 mm respectively.

If the hydraulic cylinder AB is extending at a constant rate of 1 ft/s, determine the dumpster's angular velocity at the instant theta=30 degrees.

Determine the angular velocity of the gear and the velocity of its center O at the instant shown.

Determine the velocity of the center of gravity G of the connecting rod at the instant shown. Piston P is moving upward with a velocity of 300 in/s.

If C has a velocity of v(C)=3 m/s, determine the angular velocity of the wheel at the instant shown.

If end A of the cord is pulled down with a velocity of v(A)=4 m/s, determine the angular velocity of the spool and the velocity of point C located on the outer rim of the spool.

If end A of the hydraulic cylinder is moving with a velocity of v(A)=4 m/s, determine the angular velocity of rod BC at the instant shown.

Determine the velocity of the center of gravity G of the connecting rod at the instant shown. Piston P is moving upward with a velocity of 300 in/s.

If C has a velocity of v(C)=3 m/s, determine the angular velocity of the wheel at the instant shown.

If end A of the cord is pulled down with a velocity of v(A)=4 m/s, determine the angular velocity of the spool and the velocity of point C located on the outer rim of the spool.

If end A of the hydraulic cylinder is moving with a velocity of v(A)=4 m/s, determine the angular velocity of rod BC at the instant shown.

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