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Standard XII

Physics

Com of Solid Bodies

Two uniform t...

Question

Two uniform thin rods each of Length $L$ and mass $m$ are joined as shown in the figure. Find the distance of center of mass the system from point O.

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Solution

$Y_{c m} = \frac{m_{1} y_{1} + m_{2} y_{2}}{m_{1} + m_{2}}$
$\frac{m \times 0 + M x \frac{L}{2}}{2 M}$
$= \frac{L}{4}$
so, $\frac{L}{4}$ from $0$

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Two uniform thin rods each of Length L and mass m are joined as shown in the figure. Find the distance of center of mass the system from point O.

Ycm=m1y1+m2y2m1+m2m×0+MxL22M=L4so, L4 from 0

Two uniform thin rods each of Length $L$ and mass $m$ are joined as shown in the figure. Find the distance of center of mass the system from point O.

$Y_{c m} = \frac{m_{1} y_{1} + m_{2} y_{2}}{m_{1} + m_{2}}$
$\frac{m \times 0 + M x \frac{L}{2}}{2 M}$
$= \frac{L}{4}$
so, $\frac{L}{4}$ from $0$