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.

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 (n F/17 m) m / s 2. The value of n is. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

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

F-2 T=2 m a ...(2) 3 T=4 m b ...(3) On solving (1),(2) and (3) b=(3 F/17 m)

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____.

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

$F - 2 T = 2 ma$ ...(2)
$3 T = 4 mb$ ...(3)
On solving $(1), (2)$ and (3)
$b = \frac{3 F}{17 m}$

Q. 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 17mnF​m/s2. The value of n is____.

From Constrain equation: 2a=3b ...(1) F−2T=2ma ...(2) 3T=4mb ...(3) On solving (1),(2) and (3) b=17m3F​

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____.

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

$F - 2 T = 2 ma$ ...(2)
$3 T = 4 mb$ ...(3)
On solving $(1), (2)$ and (3)
$b = \frac{3 F}{17 m}$