1. Define Movement of Center of Mass:
To maintain the center of mass position, the total movement of the center of mass (\(\Delta X_\text{C.O.M.}\)) must be zero.
2. Apply Center of Mass Condition:
Let the movement of \(m_2\) be \(x\) cm towards the center of mass. Then:
\[ \Delta X_\text{C.O.M.} = \frac{m_1 \Delta x_1 + m_2 \Delta x_2}{m_1 + m_2}, \] where \(\Delta x_1 = 2 \, \text{cm}\) (movement of \(m_1\)) and \(\Delta x_2 = -x \, \text{cm}\) (movement of \(m_2\)).
3. Set \(\Delta X_\text{C.O.M.}\) to Zero:
\[ 0 = \frac{3 \times 2 + 2 \times (-x)}{3 + 2}. \] Simplifying,
\[ 6 - 2x = 0. \] \[ x = 3 \, \text{cm}. \]
Answer: \(3 \, \text{cm}\)
The motion of an airplane is represented by the velocity-time graph as shown below. The distance covered by the airplane in the first 30.5 seconds is km.
The least acidic compound, among the following is
Choose the correct set of reagents for the following conversion: