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  4. 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 (n F/17 m) m / s 2. The value of n is.

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Q. Two blocks are arranged as shown in figure. Assuming the surfaces and the pulleys $P_{1}$ and $P_{2}$ 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____.Physics Question Image

Laws of Motion

Solution:

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