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Dynamics of Blocks on Inclined Planes

PROBLEM 14-16 (page 186, 13th edition) PROBLEM 14-13 (page 186, 12th edition) Block B is given an initial speed down the plane. Block A moves up the plane. Both blocks eventually come to rest. The mass of A is 70 kg. The mass of B is 60 kg. The coefficient of kinetic friction between A and the inclined plane is 0.20. The coefficient of kinetic friction between B and the inclined plane is 0.05. · Determine the initial speed of B in order that A travels 2 m up the plane before coming to rest. . Determine the tension in the cord during the motion. · Show that the tension force does not contribute to the total work done on the system. A B 60° 30° PROB14_013.jpg Copyright @ 2010 Pearson Prentice Hall, Inc. PROBLEM 14-16 (page 186, 13th edition) DA A DIAGRAMS B 00 14-16 (page 186, 13th edition) 14-13 (page 186, 12th edition) COMPLETION OF PROBLEM (page 1) • Data Block A: ?, points up the plane m4 = 70kg A !A= 60° HA= 0.2 h = 0 'A1 1A2 = ! SA sin "A >A2 IS A = SAD " SA1 = 2m A2 VAD = 0 Block B: u points down the plane mp = 60kg !R = 30° ! B HB= 0.05 h = ! s, sin B h = 0 B2 !SB = SB2 " S. 'B2 'B1 *B1 Vp2 = 0 B2 · Dependent motion 2 s = sp + constant 2 !s = ! s, (1) B (2) A1 2VM = VB1