First slide

Connected bodies

Question

Two bodies of masses 1 kg and 2 kg are connected by a very light string passed over a clamped light smooth pulley. If the system is released from rest, find the acceleration of the two masses and the tension in the string

Moderate

A

3.27 m/s²; 13N
B

4.5 m/s²; 26N
C

1.27 m/s²; 13N
D

0.327 m/s²; 13N

Solution

$a = \left| {\frac{{{m_1} - {m_2}}}{{{m_1} + {m_2}}}} \right|g = \frac{1}{3} \times 9.8 = 3.27\,\,m/{s^2}$
$T = \frac{{2{m_1}{m_2}}}{{{m_1} + {m_2}}}.g$
$\frac{{2(1)(2)}}{3} \times 9.8 = 13N$

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