Problems: 41: A system consists of three particles, each of unit mass, with positions and velocities as follows: n=i+j V₁ = 21 r₂ =j+k v₂ = j 4=k v=i+j+k (a) Find the position and velocity of the center of mass. (b) Find also the linear momentum of the system. (c) Find the kinetic energy of the system. (d) Find the value of mo/2. (e) Find the angular momentum about the origin.

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41: A system consists of three particles, each of unit mass, with positions and
velocities as follows:
1
r₁=i+j
V₁ = 21
v₂ = j
3
T₂ =j+k
r₂ = k
Va=i+j+k
(a) Find the position and velocity of the center of mass.
(b) Find also the linear momentum of the system.
(c) Find the kinetic energy of the system.
(d) Find the value of mo/2.
(e) Find the angular momentum about the origin.
Transcribed Image Text:Problems: 41: A system consists of three particles, each of unit mass, with positions and velocities as follows: 1 r₁=i+j V₁ = 21 v₂ = j 3 T₂ =j+k r₂ = k Va=i+j+k (a) Find the position and velocity of the center of mass. (b) Find also the linear momentum of the system. (c) Find the kinetic energy of the system. (d) Find the value of mo/2. (e) Find the angular momentum about the origin.
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