GATE ME 2016 Set 2 — Question 41
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Engineering Mechanics → Dynamics → Linear & Angular Impulse-Momentum
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Question
A system of particles in motion has mass center as shown in the figure. The particle has mass and its position with respect to a fixed point is given by the position vector . The position of the particle with respect to is given by the vector . The time rate of change of the angular momentum of the system of particles about is(The quantity indicates second derivative of with respect to time and likewise for ).
Solution
The angular momentum of a system of particles about its center of mass is defined as . The time rate of change of this angular momentum is . Since the cross product of a vector with itself is zero, . Thus, .
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