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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीTwo particles of masses \( m_1 = 2\text{ kg} \) and \( m_2 = 6\text{ kg} \) are located on the \( x \)-axis at \( x_1 = 1\text{ m} \) and \( x_2 = 5\text{ m} \) respectively. If the mass \( m_1 \) is shifted towards the right by \( 3\text{ m} \), by what distance must \( m_2 \) be shifted so that the centre of mass of the system shifts to the right by \( 1.5\text{ m} \)?
Correct answer · Option 1
\( 1.0\text{ m} \)
Explanation
Using \( \Delta X_{\text{cm}} = \frac{m_1 \Delta x_1 + m_2 \Delta x_2}{m_1 + m_2} \): \( 1.5 = \frac{2(3) + 6(\Delta x_2)}{8} \implies 12 = 6 + 6\Delta x_2 \implies \Delta x_2 = 1.0\text{ m} \).
