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Standard XII

Physics

Atmospheric Pressure

Three blocks ...

Question

Three blocks are connected on a horizontal frictionless table by two light strings, one between $m_{1}$ and $m_{2}$ , another between $m_{2}$ and $m_{3}$ . The tensions are $T_{1}$ between $m_{1}$ and $m_{2}$ and $T_{2}$ between $m_{2}$ and $m_{3}$ . if $m_{1}$ = 1 kg , $m_{2}$ = 8 kg, $m_{3}$ = 27 kg and F = 36 N applied on $m_{3}$ , then $T_{2}$ will be

18 N

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9 N

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3.375 N

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1.75 N

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Solution

The correct option is B 9 N

Since string will always be taut therefore $m_{1}$ $,$ $m_{2}$ and $m_{3}$ will move with same acceleration,
Equation of motion $m 1$ , $m 2$ , $m 3$ assembly is
$m_{1}$ $a +$ $m_{1}$ $a +$ $m_{2}$ $a$ = F
$a =$ $F / (m_{1} + m_{2} + m_{3})$
Now considering motion of block with mass m_{3} seperately,
$F - T_{2} = m_{3} a$
Subsituting value of $F, a$ and $m_{3}$
we get $T_{2} = 9 N$

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Three blocks are connected on a horizontal frictionless table by two light strings, one between m1and m2, another between m2 and m3. The tensions are T1 between m1 and m2 and T2between m2 and m3. if m1= 1 kg , m2= 8 kg, m3= 27 kg and F = 36 N applied on m3, then T2 will be