First slide

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 $\frac{n F}{17 m} m / s^{2}$ . The value of n is ________

Difficult

Solution

From Constrain equation: 2a = 3b …….(1)
$\begin{array}{l} F - 2 T = 2 m a . . . . . . (3) \\ 3 T = 4 m b . . . . . . (4) \end{array}$
$On solving (1), (2) and (3) b = \frac{3 F}{17 m}$

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