First slide

The two types of acceleration

Question

Two point size bodies of same mass are knotted to a horizontal string one at the end, and the other at the mid point of it. The string is rotated in horizontal plane with the other end as centre. If T is tension in the string between centre of circle and first body then the tension in the string between the two bodies is

Moderate

A

T/2
B

2T
C

2T/3
D

3T/2

Solution

$\large for\,\,{m_1},{T_1} - {T_2} = m{\raise0.5ex\hbox{$\scriptstyle \ell $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}{\omega ^2} \to (1)$
$\large {m_2}\,,{T_2} = m\,\ell \,{\omega ^2} \to (2)$
From (1) and (2)
$\large {T_1} - {T_2} = \frac{{{T_2}}}{2}$
$\large {T_1} = {T_2} + \frac{{{T_2}}}{2} = \frac{{3{T_2}}}{2} \to (3)$
$\large Given{T_1} = T = \frac{{3\,{T_2}}}{2} \Rightarrow {T_2} = \frac{{2T}}{3}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App