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GATE Mechanical Engineering (ME) 2016 Shift 2 Solved Paper
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© examsnet.com
Question : 41
Total: 65
A system of particles in motion has mass center G as shown in the figure. The particle i has mass m
i
and its position with respect to a fixed point O is given by the position vector r
i
. The position of the particle with respect to G is given by the vector ρ
i
. The time rate of change of the angular momentum of the system of particles about G is
(The quantity
¨
ρ
i
indicates the second derivative of ρ
i
with respect to time and likewise for r
i
)
i
∑
i
r
×
m
i
¨
ρ
i
∑
limits
i
ρ
i
×
m
i
¨
r
i
i
∑
i
r
×
m
i
¨
r
i
∑
limits
i
ρ
i
×
m
i
¨
ρ
i
Validate
Solution:
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