In Fig. P5.34 block ?A? has mass ?m? and block ?B? has mass 6.00 kg. The coefficient of kinetic friction between block ?A? and the tabletop is ???k = 0.40. The mass of the rope connecting the blocks can be neglected. The pulley is light and frictionless. When the system is released from rest, the hanging block descends 5.00 m in 3.00 s. What is the mass ?m? of block ?A??
Solution 67P Step 1: Mass of block A = m a Mass of block B (m ) =a6 kg The coefficient of the kinetic friction k = 0.4 Distance moved by the block B (L) = 5 m Time taken (t) = 3 s Step 2: To find mass of block A ( m ) a F = x - f k = m .a F = m .g - T = m .a y b b f = .n k k n = m .ga Step 3: T = m .a+ . m kg a m .g - T = m .a b b Simplifying the above equations We get m b(ga) m a = a+g. k