Chapter 4--problem number 91 A drawing with two blocks, the rope and pulleys are

Question

Chapter 4--problem number 91 A drawing with two blocks, the rope and pulleys are massless,and there is no firction. One block is 10kg and the other is3kg. Find the tension in the rope and the acceleration of the10 kg block. (the larger mass moves twice as far as thesmaller mass) Chapter 4--problem number 91 A drawing with two blocks, the rope and pulleys are massless,and there is no firction. One block is 10kg and the other is3kg. Find the tension in the rope and the acceleration of the10 kg block. (the larger mass moves twice as far as thesmaller mass)

Explanation / Answer

(a)    applying newtons second lawof motion to the firstblock we get    T = m1 a    applying newtons second lawof motion to thesecond block we get    2 T - m2 g = - (1 / 2)m2 a    solving the above two equations for the tensionthe rope we get it as    T = {[(1 / 2) m2 g] / [1 + (1 / 4)(m2 / m1)]}       = ........ N (b)    using the first equation the acceleration of thefirst block will be    a = T / m1       = ........ m /s2

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