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Two automobiles A and B, of mass
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Vector Mechanics for Engineers: Dynamics
- 2- Two identical cars A and B are at rest on a loading dock with brakes released. Car C, of a slightly different style but of the same weight, has been pushed by dockworkers and hits car B with a velocity of 1.5 m/s. Knowing that the coefficient of restitution is 0.8 between B and C and 0.5 between A and B, determine the velocity of each car after all collisions have taken place. 1.5 m/sarrow_forward1. Space probes may be separated from their launchers by exploding bolts. (They bolt away from one another.) Suppose a 4100-kg satellite uses this method to separate from the 1200-kg remains of its launcher, and that 3000 J of kinetic energy is supplied to the two parts. Assume that the satellite and launcher are at rest before separation and the direction of the satellite's velocity after separation is positive. Gravity is negligible compared to the force of explosion. Consider: Let the subscripts i and f denote the initial and final velocities and the subscripts s and/ denote the satellite and the launcher, respectively. How many knowns are there and how many unknowns? satellite launcher Before launch Vsf satellite launcher V₁ After launcharrow_forwardA 45 g bullet is fired with a velocity of 400 m/s at an angle ø = 5 ° into a square panel whose sides measure b = 200 mm and has a mass of 9 kg. Knowing that h = 150 mm and that the panel is initially at rest, determine a) The distance h required if the horizontal component of the impulse reaction at A is to be zero. b) The corresponding velocity of the center of the panel immediately after the bullet is embedded. Please include the free body diagram if necessaryarrow_forward
- A 20-g bullet is fired at a 5-kg square panel of side b = 300 mm. The velocity of the bullet just before the collision is 500 m/s, with θθ = 15°, and is embedded into the plate after impact with a duration of 2.5 × 10-3 seconds. Knowing that the horizontal component of the impulsive reaction at A is zero, what is the value of the impulsive reaction at the support at A?arrow_forward1. Which of the following has impulse/s that is/are NOT considered negligible during the impact of the sphere to member AB? I. Weight of Member ABC II. Weight of Sphere D III. Impact force between Sphere D and Member ABC IV. The reactions at pin Barrow_forward(a). Two identical blocks A and B are at rest on a frictionless plane. Block C of the same weight hits block B with a velocity of 2.5 m/s. Knowing that the coefficient of restitution is 0.7 between block B and block C and 0.4 between block A and block B. (i) Determine the velocity of each block after all collisions have taken place. (ii) From your working in Q1(a)(i), predict whether there will be another collision after block B collides with block A? (iii) If the coefficient of restitution between block A and block B is changed to 0.7, explain with calculations whether there will be a collision between block B and block C after block B collides with block A?arrow_forward
- Member ABC has a mass of 2.4 kg and is attached to a pin support at B. A 0.8-kg sphere D strikes the end of member ABC with a vertical velocity v1=3 m/s. Knowing that L=0.75 m and that the coefficient of restitution between the sphere and member ABC is 0.5, answer the following: A D B 1. Which of the following has impulse/s that is/are NOT considered negligible during the impact of the sphere to member AB? I. Weight of Member ABC II. Weight of Sphere D III. Impact force between Sphere D and Member ABC IV. The reactions at pin B III only IV only I and II only III and IVonly →arrow_forward2. Block 1 of mass m, slides from rest along a frictionless ramp from height h = 1.60 m and then collides (completely inelasticly) with stationary block 2 of mass m2 = 3.00 m.. After the collision, the two blocks slide into a region where the coefficient of kinetic friction is µx = 0.300 and come to a stop in distance d within that region. a) What is the speed of m, when it reaches the bottom of the ramp? b) What is the speed of the combination of the two blocks after the collision? c) What is the value of distance d?arrow_forward1. Two discs sliding on a frictionless horizontal plane with opposite speeds of the same magnitude Vo collide with each other head-on. Disk A is known to have a mass of 3 kg and its velocity is observed to be zero after impact. Determine a) the mass of disk B if the coefficient of restitution between the two disks is known to be 0.5, b) the range of possible values of the mass of disk B if the coefficient of restitution between the two disks is unknown.arrow_forward
- A chain, which weights 1 kg and is 1 m long, is lowered from a height of 1.5 m. How big is the force with which the chain acts on the ground at the moment when half of the chain is already on the ground. Assume that the collision of individual parts of the chain is completely inflexible.arrow_forwardA 45-g bullet is fired with a velocity of 400 m/s at 0 = 30° into a 9-kg square panel of side b = 200 mm. Knowing that h = 150 mm and that the panel is initially at rest, determine (a) the velocity of the center of the panel immediately after the bullet becomes embedded, (b) the impulsive reaction at A, assuming that the bullet becomes embedded in 2 ms.arrow_forwardTwo steel blocks slide without friction on a horizontal surface. Their velocities before the impact are shown. Knowing that e = 0.75, determine their velocities after impact.arrow_forward
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