Two point masses of 0.3, kg and 0.7, kg are f | vedclass

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Question

(B) The work required for rotation is minimum when the axis of rotation passes through the center of mass of the system.Let the distance of the center

Vedclass · Accepted Answer

$0.98\, m$ from mass of $0.3\, kg$

Vedclass · Answer

(B) The work required for rotation is minimum when the axis of rotation passes through the center of mass of the system.Let the distance of the center of mass from the $0.3\, kg$ mass be $x$.Then the distance from the $0.7\, kg$ mass is $(1.4 - x)$.Using the formula for the center of mass: $m_1 x_1 = m_2 x_2$$0.3 	imes x = 0.7 	imes (1.4 - x)$$0.3x = 0.98 - 0.7x$$1.0x = 0.98$$x = 0.98\, m$ from the $0.3\, kg$ mass.Alternatively,the distance from the $0.7\, kg$ mass is $1.4 - 0.98 = 0.42\, m$.

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