Two bodies of masses $5 k g$ and $4 k g$ are tied to a string as shown in the figure. If the table and pulley are smooth, then the acceleration of $5 k g$ mass will be: (Assume string as massless and inextensible)

19.5 {m / s}^{2}

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0.55 {m / s}^{2}

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2.72 {m / s}^{2}

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5.45 {m / s}^{2}

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Solution

The correct option is C $5.45 {m / s}^{2}$
$F o r 5 k g b l o c k t h e e q u a t i o n i s m g - T = m a \Rightarrow 5 g - T = 5 a . . . . (1) F o r 4 k g b l o c k t h e e q u a t i o n i s T = m a \Rightarrow T = 4 a . . . . (2) S o l v i n g (1) a n d (2) a = \frac{5 g}{9} = \frac{49}{9} = 5.45 m s^{- 2}$

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Two bodies of masses 5kg and 4kg are tied to a string as shown in the figure. If the table and pulley are smooth, then the acceleration of 5kg mass will be: (Assume string as massless and inextensible)

The correct option is C 5.45m/s2For 5kg block the equation ismg−T=ma⇒5g−T=5a....(1)For 4kg block the equation isT=ma⇒T=4a....(2)Solving (1) and (2)a=5g9=499=5.45ms−2

Two bodies of masses $5 k g$ and $4 k g$ are tied to a string as shown in the figure. If the table and pulley are smooth, then the acceleration of $5 k g$ mass will be: (Assume string as massless and inextensible)