PROBLEM 13-22 (page 125, 13th edition) PROBLEM 13-27 (page 126, 13th edition) ¥ Determine the mass of block A so that when it is released from rest it moves the 5 kg block B a distance 0.75 m up the smooth inclined plane in 2 seconds. Neglect the mass of the pulleys and cords. E O C D B A 60° 1 PROB13_027.jpg Copyright @ 2010 Pearson Prentice Hall, Inc.
13-22 (page 125, 13th edition) 13-27 (page 126, 12th edition) COMPLETION OF PROBLEM · Equation of motion for block A : ?F = ma : X · Equation of motion for block B: X I F = ma : x T Im gsin /= mpaB · Dependent motion: ap = 3a 1B A · Kinematics: Sg = at2 · Numerical results: m _g-3T = m a A A 2SB = 2(0.75) t 22 m/s2 = 0.375m/s2 a, = 2 T = m (gsin/ + aB) = 5(9.81sin60 +0.375)N = 44.35N 3T = 3T g aB /3 kg= 13.7kg MA g aA 9.8100.375/3 = 3(44.35)
PROBLEM 13-32 (page 127, 12th edition) Motor M draws in cable at 4 ft/s2 relative to the 200 lb mine car. ¥ Determine the acceleration of the car and the tension in the cable. Neglect the mass of the pulleys. ap/c = 4 ft/s2 P M 30° PROB13_032.jpg Copyright @ 2010 Pearson Prentice Hall, Inc.