First slide

Friction on horizontal surface

Question

A block A of mass $m_{1}$ rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block B of rnass $m_{2}$ is suspended. The coefficient of kinetic friction between the block and table is $μ_{k}$ When the block A is sliding on the table, the tension in the string is

Moderate

A

$\frac{(m_{2} + μ_{k} m_{1} g)}{(m_{1} + m_{2})}$
B

$\frac{(m_{2} - μ_{k} m_{1}) g}{(m_{1} + m_{2})}$
C

$\frac{m_{1} m_{2} (1 + μ_{k}) g}{(m_{1} + m_{2})}$
D

$\frac{m_{1} m_{2} (1 - μ_{s}) g}{(m_{1} + m_{2})}$

Solution

$T - μ_{k} m_{1} g = m_{1} a - - - - - - - - (i)$
$m_{2} g - T = m_{2} a - - - - - (ii)$
$T - μ_{k} m_{1} g = \frac{m_{1} (m_{2} g - T)}{m_{2}}$
$T = \frac{m_{1} m_{2} g (μ_{k} + 1)}{(m_{1} + m_{2})}$

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