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A 300-kg space vehicle traveling with a velocity
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Vector Mechanics For Engineers
- Two blocks A and b , of mass 4 kg and 5 kg, respectively, are connected by a cord that passes over pulleys as shown. A 3-kg collar A is placed on block A and the system is released from rest. After the blocks have moved 0.9 m, collar C is removed and blocks A and B continue to move. Determine the speed of block A just before it strikes the ground.arrow_forwardA bullet is fired with a horizontal velocity of 1500 ft/s through a 6-lb block A and becomes embedded in a 4.95-lb block B.Knowing that blocks A and B start moving with velocities of 5 ft/s and 9 ft/s, respectively, determine (a) the weight of the bullet, (b) its velocity as it travels from block A to block B.arrow_forwardA system consists of three identical 5-kg particles A, B, and C. Their position vectors (in meter) and velocity vectors (in m/s) are rA 0,0, 3 , v A v Aj , rB 2,2, 3 , vB v B i , and rC 1,4, 0 , vC v C k, respectively. Knowing that the angular momentum of the system about point O is HO 1.5k kg m 2s, determine (a) the velocities of the particles, (b) the angular momentum of the system about its center of mass G.arrow_forward
- Conservation of Linear Momentum for a System of Particles Two spheres A and B (of mass m each) were fired vertically from the ground with different initial velocities at different times. When sphere A reached its summit, sphere B, with an upward velocity of 17 m/s, created a head on collision with A. The impact caused sphere A to break into two pieces, each of mass m/2. Knowing one piece reached Point C and the other piece reached point D after the collision, determine (a) the velocity of sphere B after the collision; (b) the angle and the speeds of the two pieces after the collision; and (c) the force exerted by sphere A on B if the collision occurred in 0.001 s.arrow_forwardA rocket weighs 2600 lb, including 2200 lb of fuel, which is consumed at the rate of 25 lb/s and ejected with a relative velocity of 13,000 ft/s. Knowing that the rocket is fired vertically from the ground, determine (a) its acceleration as it is fired, (b) its acceleration as the last particle of fuel is being consumed, (c) the altitude at which all the fuel has been consumed, (d) the velocity of the rocket at that time.arrow_forwardIn a game of billiards, ball A is given an initial velocity v0 along the longitudinal axis of the table. It hits ball B and then ball C , which are both at rest. Balls A and c are observed to hit the sides of the table squarely at A, and C, respectively, and ball B is observed to hit the side obliquely at B, .Knowing that v0 = 4 m/s, vA = 1.92 m/s, and a= 1.65 m, determine (a) the velocities vB and vC of balls B and C , (b) the point C, where ball C hits the side of the table. Assume frictionless surfaces and perfectly elastic impacts (i.e., conservation of energy).arrow_forward
- The coefficient of restitution is 0.9 between the two 60-mm-diameter billiard balls A and B . Ball A is moving in the direction shown with a velocity of 1 m/s when it strikes ball B , which is at rest. Knowing that after impact B is moving in the x direction, determine (a) the angle 0, (b) the velocity of B after impact.arrow_forwardTwo swimmers A and B, of weight 190 lb and 125 lb, respectively, are at diagonally opposite corners of a floating raft when they realize that the raft has broken away from its anchor. Swimmer A immediately starts walking toward B at a speed of 2 ft/s relative to the raft. Knowing that the raft weighs 300 lb, determine (a) the speed of the raft if B does not move, (b) the speed with which B must walk toward A if the raft is not to move.arrow_forwardPackages in an automobile parts supply house are transported to the loading dock by pushing them along on a roller track with very little friction. At the instant shown, packages B and c are at rest, and package A has a velocity of 2 m/s. Knowing that the coefficient of restitution between the packages is 0.3, determine (a) the velocity of package C after A hits B and B hits C, (b) the velocity of A after it hits B for the second time.arrow_forward
- Packages are thrown down an incline at A with a velocity of 1 m/s. The packages slide along the surface ABC to a conveyor belt which moves with a velocity of 2 m/s. Knowing that μk = 0.25 between the packages and the surface ABC , determine the distance d if the packages are to arrive at C with a velocity of 2 m/s.arrow_forwardA 1.62-oz golf ball is hit with a golf club and leaves it with a velocity of 100 mi/h. We assume that for 0 ≤ t≤t0 , where t0 is the duration of the impact, the magnitude F of the force exerted on the ball can be expressed as F=Fmsin (πt/t0). Knowing that t0 = 0.5 ms, determine the maximum value Fm of the force exerted on the ball.arrow_forwardA baseball pitching machine “throws” baseballs with a horizontal velocity v0. Knowing that height h varies between 788 mm and 1068 mm, determine (a) the range of values of v0, (b) the values of a corresponding to h= 788 mm and h= 1068 mm.arrow_forward
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