Question:
A system consisting of two masses connected by a massless rod lies along the x-axis. A 0.4 kg mass is at a distance x = 2 m while a 0.6 kg mass is at a distance x = 7 m. The x-coordinate of the center of mass is
A system consisting of two masses connected by a massless rod lies along the x-axis. A 0.4 kg mass is at a distance x = 2 m while a 0.6 kg mass is at a distance x = 7 m. The x-coordinate of the center of mass is
Updated On: Aug 16, 2024
- 5 m
- 3.5 m
- 4.5 m
- 4 m
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The Correct Option is A
Solution and Explanation
The x-coordinate of center of mass
$x=\frac{m_1x_1+m_2x_2}{m_1+m_2}$
Here $m_1=0.4 kg ,x_1=2m$
$ m_2=0.6 kg ,x_2=7m$
hence $x=\frac{0.4 \times 2 +0.6 +7}{0.4 +0.6}$
$x=\frac{5}{1}=5m$
$x=\frac{m_1x_1+m_2x_2}{m_1+m_2}$
Here $m_1=0.4 kg ,x_1=2m$
$ m_2=0.6 kg ,x_2=7m$
hence $x=\frac{0.4 \times 2 +0.6 +7}{0.4 +0.6}$
$x=\frac{5}{1}=5m$
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