Problem #6: Suppose the particles in the image below have masses m, = 0.10 kg, m1 = 0.20kg, m3 = 0.30kg, m4 = 0.40kg. The velocities of the particles are %3D %3D %3D vi = 4î m/s, v2 = 3î – 3ĵ m/s, Vz = –-3ĵ m/s, v = -2î m/s. %3D a) Determine the location of the center of mass of this system of particles. b) Determine the total momentum of the system of particles. c) Calculate the angular momentum of each particle about the origin. d) What is the total angular momentum of the four-particle system about the origin?

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Problem #6: Suppose the particles in the image below have masses m1 = 0.10 kg, m, = 0.20kg, m3 =
0.30kg, m4 = 0.40kg. The velocities of the particles are
vị = 4î m/s, v2 = 3£ – 3ĵ m/s, V3 = -3j m/s, v = -2î m/s.
a) Determine the location of the center of mass of this system of particles.
b) Determine the total momentum of the system of particles.
c) Calculate the angular momentum of each particle about the origin.
d) What is the total angular momentum of the four-particle system about the origin?
y(m) 4
4.0
m,
2.0
m3
VA
--4.0
-2.0
2.0
4.0 x(m)
Va
m2
-2.0-
-4.0+
V2
Transcribed Image Text:Problem #6: Suppose the particles in the image below have masses m1 = 0.10 kg, m, = 0.20kg, m3 = 0.30kg, m4 = 0.40kg. The velocities of the particles are vị = 4î m/s, v2 = 3£ – 3ĵ m/s, V3 = -3j m/s, v = -2î m/s. a) Determine the location of the center of mass of this system of particles. b) Determine the total momentum of the system of particles. c) Calculate the angular momentum of each particle about the origin. d) What is the total angular momentum of the four-particle system about the origin? y(m) 4 4.0 m, 2.0 m3 VA --4.0 -2.0 2.0 4.0 x(m) Va m2 -2.0- -4.0+ V2
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