First slide

Connected bodies

Question

Two blocks of masses 2 kg and 4 kg are connected by a light string passing over a light smooth pulley clamped to the edge of a horizontal table. The 2 kg block is on the smooth horizontal table and the other block is hanging vertically. (i) Find the acceleration of the system if it is released from rest. (ii) Find the tension in the string.

Moderate

A

6.54 m/s²; 26N
B

2.6 m/s²; 6.54 N
C

6.54 m/s²; 13N
D

13 m/s²; 26N

Solution

$a = \frac{{{m_2}g}}{{{m_1} + {m_2}}}$
$= \frac{{4 \times 9.8}}{6} = \frac{{19.6}}{3}$
$= 6.54m/s^{2}$
$T = \frac{{{m_1}{m_2}g}}{{{m_1} + {m_2}}} = \frac{{\cancel{2} \times 4 \times 9.8}}{{{{\cancel{6}}_3}}} = 13N$

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