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Standard XII

Physics

Spring Force

Two masses ar...

Question

Two masses are connected by a string which passes over a pulley accelerating upward at a rate A as shown. If $a_{1}$ and $a_{2}$ be the acceleration of bodies $1$ and $2$ respectively then:

A = a_{1} - a_{2}

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A = a_{1} + a_{2}

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A = \frac{a_{1} - a_{2}}{2}

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A = \frac{a_{1} + a_{2}}{2}

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Solution

The correct option is C $A = \frac{a_{1} - a_{2}}{2}$
by simply applying the trick of constrain relation we can easily find the acceleration of the pulley
here we see that only single pulley is attached in between them hence tension remain the same in both the string and one is moving upward and one is downward so total acceleration in pulley will be 2A
now by constraint relation, we say
$a_{1}$ - $a_{2}$ =2A [i.e think it by assuming tension is acting 2T= $T_{1}$ + $T_{2}$
A= $\frac{a_{1} - a_{2}}{2}$ (i.e - implies that both are moving in opposite direction)

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Two masses are connected by a string which passes over a pulley accelerating upward at a rate A as shown. If a1 and a2 be the acceleration of bodies 1 and 2 respectively then:

Two masses are connected by a string which passes over a pulley accelerating upward at a rate A as shown. If $a_{1}$ and $a_{2}$ be the acceleration of bodies $1$ and $2$ respectively then: