MCQ
Two masses ${m_1}$ and ${m_2}$ are attached to a string which passes over a frictionless smooth pulley. When ${m_1} = 10kg,$ ${m_2} = 6kg,\,$the acceleration of masses is .......... $m/s^{2}$
- A$20$
- B$5$
- ✓$2.5$
- D$10$
✓
Answer
Correct option: C.
$2.5$
c
(c)$a = \left( {\frac{{{m_2} - {m_1}}}{{{m_1} + {m_2}}}} \right)g = \left( {\frac{{10 - 6}}{{10 + 6}}} \right) \times 10 = 2.5\,m/{s^2}$
(c)$a = \left( {\frac{{{m_2} - {m_1}}}{{{m_1} + {m_2}}}} \right)g = \left( {\frac{{10 - 6}}{{10 + 6}}} \right) \times 10 = 2.5\,m/{s^2}$
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