A system of particles in motion has mass center G as shown in the figure. The particle i has mass mi and its position with respect to a fixed point O is given by the position vector ri. The position of the particle with respect to G is given by the vector ρi. The time rate of change of the angular momentum of the system of particles about G is(The quantity ${\ddot \rho _i}$ indicates the second derivative of ρi with respect to time and likewise for ri)

Question

A system of particles in motion has mass center G as shown in the figure. The particle i has mass mi and its position with respect to a fixed point O is given by the position vector ri. The position of the particle with respect to G is given by the vector ρi. The time rate of change of the angular momentum of the system of particles about G is(The quantity ${\ddot \rho _i}$ indicates the second derivative of ρi with respect to time and likewise for ri)

TuteeHUB · Accepted Answer

$\sum_i r_i \times m_i \ddot{r}_i$

TuteeHUB · Answer

$\sum_i r_i\times m_i \ddot{\rho}_i$

TuteeHUB · Answer

$\sum_i \rho_i \times m_i \ddot{r}_i$

TuteeHUB · Answer

$\sum_i \rho_i \times m_i \ddot{\rho}_i$

1.	A system of particles in motion has mass center G as shown in the figure. The particle i has mass mi and its position with respect to a fixed point O is given by the position vector ri. The position of the particle with respect to G is given by the vector ρi. The time rate of change of the angular momentum of the system of particles about G is(The quantity \({\ddot \rho _i}\) indicates the second derivative of ρi with respect to time and likewise for ri)
A.	\(\sum_i r_i\times m_i \ddot{\rho}_i\)
B.	\(\sum_i \rho_i \times m_i \ddot{r}_i\)
C.	\(\sum_i r_i \times m_i \ddot{r}_i\)
D.	\(\sum_i \rho_i \times m_i \ddot{\rho}_i\)
Answer» C. \(\sum_i r_i \times m_i \ddot{r}_i\)

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