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Free Body Diagrams

In Fig. 6.3...

Question

In $F i g . 6.376$ , all the pulleys and stings are massless and all the surfaces are frictionless. A small block of mass m is placed on fixed wedge
(take $g = 10 m s^{- 2}$ ).
The acceleration of pulley $p_{4}$ is

2.25 m s^{- 2}

towards left

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2.25 m s^{- 2}

towards right

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9 m s^{- 2}

towards left

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9 m s^{- 2}

towards right

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Solution

The correct option is A $2.25 m s^{- 2}$ towards left

$mg sin 30 - T = wa$
$\Rightarrow 50 - 5 = 10 a$
$\Rightarrow 45 = 10 a$
$∴ a = 4.5 {m s}^{- 2}$
$∴ a_{p_{4}} = \frac{4 \cdot 5}{2} = 2 \cdot 25 {m s}^{- 1}$

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Similar questions

Q. In the figure shown, all pulleys are massless and the strings are light and inextensible. What is the acceleration of the pulley

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Q. In figure show

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P_{2}

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In Fig.6.376, all the pulleys and stings are massless and all the surfaces are frictionless. A small block of mass m is placed on fixed wedge(take g=10ms−2).The acceleration of pulley p4 is

The correct option is A 2.25ms−2 towards leftmgsin30−T= wa ⇒50−5=10a⇒45=10a∴a=4.5 ms−2∴ap4=4⋅52=2⋅25ms−1

In $F i g . 6.376$ , all the pulleys and stings are massless and all the surfaces are frictionless. A small block of mass m is placed on fixed wedge
(take $g = 10 m s^{- 2}$ ).
The acceleration of pulley $p_{4}$ is

The correct option is A $2.25 m s^{- 2}$ towards left

$mg sin 30 - T = wa$
$\Rightarrow 50 - 5 = 10 a$
$\Rightarrow 45 = 10 a$
$∴ a = 4.5 {m s}^{- 2}$
$∴ a_{p_{4}} = \frac{4 \cdot 5}{2} = 2 \cdot 25 {m s}^{- 1}$