Calculate acceleration of block B in above figure, assuming surfaces and pulleys P₁ and P₂ are a

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4-1.Newton's Laws of Motion

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Calculate the acceleration of the block B in the above figure, assuming the surfaces and the pulleys $P_1$ and $P_2$ are all smooth and pulleys and string and light

A$a =\frac{3 F }{17 m } m / s ^2$

B$a=\frac{2 F }{17 m } m / s ^2$

C$a=\frac{3 F }{15 m } m / s ^2$

D$a =\frac{3 F}{12 m } m / s ^2$

Solution

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

Standard 11

Physics

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