I guess I\'m just an old mad scientist at bottom. Give me an underground laborat

Question

I guess I'm just an old mad scientist at bottom. Give me an underground laboratory, half a dozen atom-smashers, and a beautiful girl in a diaphanous veil waiting to be turned into a chimpanzee, and I care not who writes the nation's laws. S.J. Perelman, U.S. humorist, (d. 1979); short story, Captain Future, Block That Kick Two blocks are connected as shown. S is a fixed support. A weighs 16 N, B weighs 4 N. Force P and the cords and the frictionless surface are all horizontal. When the blocks are pulled by force P, the displacement of block A is found to be x = 2 t3, where x is in m and t in sec. Find the force P at time t = 5 sec. Find the acceleration of each block in terms of m1, m2, and g. Neglect all friction and neglect masses of pulleys. Find the tension in cord A in terms of the masses m1, m2, m3, and g. Neglect the masses of the pulleys.

Explanation / Answer

588) x = 2t^3 v = dx/dt = 6t^2 a = dv/dt = 12t F = (M)*12*t P - 2F = m * (6t) [as acceleration of A is twice of B] P = (6t)(m+4M) 589) m2g - F = m2a F/2 = m1*(2a) [as acceleration of m1 is twice of m2] from above equations m2g = a(m2 + 4m1) a = m2g/[m2 + 4m1]

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