chap_IV_hwk_sp_2011

After impacting each other a is traveling to the

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Unformatted text preview: gure. After impacting each other, A is traveling to the RIGHT with a speed of vA2 , and B travels ) draw FBD’swith A speed of vB 2 (direction of Imotion a set of coordinate is not known). Consider all surfaces to for a alone, B alone and A+B. nclude for B after impact axes with thesesmooth. be FBD’s. ) determine the mass M of block B. Find: For this problem: a) determine the mass M of block B, and b) determine the coefficient of ) determine the coefficient, of restitution, e,of A the impact of A and B. restitution, e for the impact for and B write down the linear momentum vector ns for A, B and A+B in terms of their and tangential components, as well as ficient of restitution equation. Use these ns to find M and e. B A vA1 m g parameters in your analysis: m = 3kg , eters / sec , vA 2 = 2 meters / sec rs / sec . M vB1 HORIZONTAL PLANE Use the following parameters in your analysis: m = 3kg , vA1 = 4m/sec, vB 1 = 4m/sec, vA2 = 2m/sec and vB 2 = 5m/sec. Particle K inetics Homework Problems ME 274 Chapter IV: Particle Kinetics Homework IV-51 Problem IV-49 Given: Particle P, having a mass of m, is pressed against a spring (having a stiffness o P, having a spring m, is pressed against a spring of ! . a sti release k) with Given: Particle f k) with the mass ofbeing compressed by an amount(havingUponffness of from est, the particle travels along a . Upon release from rest, the particle travels along the spring beingrcompressed by an amount of ∆ rough horizontal surface for which the kinetic coefficient of which the kinetic coeffiµK. a rough horizontal surface for friction is known to be cient of friction is known to be µk . Problem IV.49 F Determine etermine the total distance d traveled by P before coming to rest. Assumed > ∆. D the total distance d traveled by P before coming to rest. Assume that Find: ind: Leave your answer in symbolic form. answer in symbolic form. that d > !. Leave your P rough, µK ! P d Problem IV-50 Given: A smooth, circular slot is cut into block A with block A being constrained to move along a smooth, horizontal surface. The slot is vertical at the top surface of the block with the slot being horizontal at IV: Particle Kinetics Homework IV-52 Chapter the right edge of the block, as shown in the figures below. In Position 1, block A is stationary, and a particle B is released from rest into the upper opening of the slot. At Position 2 shown Problem IV.50 below, particle B is exiting the slot at the right edge of the block. The masses of A and B are M = 40 kg and m = 20 kg, respectively. The radius of the Given: A smooth, circular slot is is given by r = 2 meters. circular slot cut into block A with block A being constrained to move along a smooth, horizontal surface. The slot is vertical at the top surface of the block with the slot being horizontal at the right edge of the block, as shown in the figures below. In Position 1, block A is Find Determine the velocity of block the upper elocity of the slot. at Position 2 stationary, and :a particle B is released from rest into A and the vopeningof p...
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