Two equal point masses m₁ = m2 = 0.69 kg are attached to the ends of a rod of a negligible mass and length of 0.81 m. The rod is placed at rest on the y axis and is free to move in a horizontal and frictionless table, as seen in the figure. L=0.81m m1 x m3 νο m2 A third point mass m3, identical to the two other masses, moves with velocity vo collides head-on with completely inelastically collision with m2. = 1.62 m/s to the right so that at t = () it a. Find the center of mass (XCM, YCM) of the three bodies at t₁ = 1.2 s after the collision: Хом 0.64 = Усм -0.2 X b. What is the magnitude of the angular momentum of the system relative to the origin of coordinates? 0.90 X c. What is the magnitude of the angular momentum of the system relative to the center of mass? 0.60 X d. What is the angular velocity of the rod after the collision? 0.5 X e. What is the linear velocity of the body m₁ right after the collision (relative to the laboratory frame of reference)? 0

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Two equal point masses m₁ = m2 =
0.69 kg are attached to the ends of a rod of a negligible mass and length of 0.81 m.
The rod is placed at rest on the y axis and is free to move in a horizontal and frictionless table, as seen in the figure.
L=0.81m
m1
x
m3
νο
m2
A third point mass m3, identical to the two other masses, moves with velocity vo
collides head-on with completely inelastically collision with m2.
=
1.62 m/s to the right so that at t = () it
a. Find the center of mass (XCM, YCM) of the three bodies at t₁
= 1.2 s after the collision:
Хом
0.64
=
Усм
-0.2 X
b. What is the magnitude of the angular momentum of the system relative to the origin of coordinates?
0.90 X
c. What is the magnitude of the angular momentum of the system relative to the center of mass?
0.60 X
d. What is the angular velocity of the rod after the collision?
0.5 X
e. What is the linear velocity of the body m₁ right after the collision (relative to the laboratory frame of reference)?
0
Transcribed Image Text:Two equal point masses m₁ = m2 = 0.69 kg are attached to the ends of a rod of a negligible mass and length of 0.81 m. The rod is placed at rest on the y axis and is free to move in a horizontal and frictionless table, as seen in the figure. L=0.81m m1 x m3 νο m2 A third point mass m3, identical to the two other masses, moves with velocity vo collides head-on with completely inelastically collision with m2. = 1.62 m/s to the right so that at t = () it a. Find the center of mass (XCM, YCM) of the three bodies at t₁ = 1.2 s after the collision: Хом 0.64 = Усм -0.2 X b. What is the magnitude of the angular momentum of the system relative to the origin of coordinates? 0.90 X c. What is the magnitude of the angular momentum of the system relative to the center of mass? 0.60 X d. What is the angular velocity of the rod after the collision? 0.5 X e. What is the linear velocity of the body m₁ right after the collision (relative to the laboratory frame of reference)? 0
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