In the arrangement , shown in figure, pulleys are massless and frictionless and threads are in-extensible, block of mass $m_{1}$ will remain at rest, if

\frac{4}{m_{1}} = \frac{1}{m_{2}} + \frac{1}{m_{3}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

m_{1} = m_{2} = m_{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{m_{1}} = \frac{1}{m_{2}} + \frac{1}{m_{3}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{m_{3}} = \frac{2}{m_{2}} + \frac{3}{m_{1}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{4}{m_{1}} = \frac{1}{m_{2}} + \frac{1}{m_{3}}$
from the given figure
$a = [\frac{m_{3} - m_{2}}{m_{2} + m_{3}}] g w h e r e m_{3} > m_{2}$

$T = \frac{2 m_{2} m_{3} g}{m_{2} + m_{3}}$

$T^{'} = 2 T = \frac{4 m_{2} m_{3} g}{m_{2} + m_{3}}$

$m_{1} g = \frac{4 m_{2} m_{3} g}{m_{2} + m_{3}}$

$⟹ \frac{4}{m_{1}} = \frac{1}{m_{2}} + \frac{1}{m_{3}}$

Suggest Corrections

Similar questions

Q. In the arrangement, shown in figure, pulleys are massless and frictionless and threads are inextensible. Blocks of mass m1 will remain at rest if

Three solids of masses $m_{1}, m_{2} a n d m_{3}$ are connected with weightless string in succession and are placed on a frictionless table. If the mass $m_{3}$ is dragged with a force T, the tension in the string between $m_{2}$ and $m_{3}$ is

Q. In the figure, pulleys are smooth and strings are massless

m_{1} = 1 k g

and

m_{2} = \frac{1}{3} k g

. To keep

m_{3}

at rest,

m_{3}

should be

Q. Q. RBI publishes figures for four alternative measures of money supply, viz.

M 1, M 2, M 3

and

M 4

. Arrange them in decreasing order of their liquidity:

Three different objects of mass $m_{1}$ , $m_{2}$ and $m_{3}$ are allowed to fall from rest and from the same point along three different frictionless paths. The speed of the three objects on reaching the ground will be in the ratio of

Join BYJU'S Learning Program

In the arrangement , shown in figure, pulleys are massless and frictionless and threads are in-extensible, block of mass m1 will remain at rest, if

The correct option is A 4m1=1m2+1m3from the given figure a=[m3−m2m2+m3]g where m3>m2T=2m2m3gm2+m3T′=2T=4m2m3gm2+m3m1g=4m2m3gm2+m3⟹4m1=1m2+1m3

In the arrangement , shown in figure, pulleys are massless and frictionless and threads are in-extensible, block of mass $m_{1}$ will remain at rest, if