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Application of Newtons laws

Question

Two blocks are arranged as shown in figure. Assuming the surfaces and the pulleys P1 and P2 are all smooth and pulleys and string are light, if the acceleration of the block
B is found to be nF17mm/s2. The value of n is ________

Difficult
Solution

From Constrain equation: 2a = 3b    …….(1)

F2T=2ma   ......(3)3T=4mb    ......(4)

 On solving (1),(2) and (3) b=3F17m



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