The system shown in the figure below consisting of four particles connected by massless, rigid rods is rotating around the x axis with an angular speed of 2.60 rad/s. The particle masses are m, 1.05 kg, m, = 4.05 kg, m3 = 2.20 kg, and m, = 3.25 kg.

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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Problem 65P: A long, uniform rod of length L and mass M is pivoted about a frictionless, horizontal pin through...
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The system shown in the figure below consisting of four particles connected by massless, rigid rods is rotating around the x axis with an angular speed of 2.60 rad/s. The particle masses are m, = 1.05 kg, m2 = 4.05 kg, m3
m4 = 3.25 kg.
2.20 kg, and
%3D
y (m)
Yi = 2.00 m-
m2
Y2 1.00 m-
+ x (m)
m3
Y3 -2.00 m
m4
Y4 -4.00 m
(a) What is the rotational inertia of the system around the x axis?
kg m2
(b) Using K
Iw?, what is the total rotational kinetic energy of the system?
(c) What is the tangential speed of each of the four particles?
m/s
V m2
V m3
V ma
m/s
m/s
m/s
what is the total kinetic energy of the system?
(d) Considering the system as four particles in motion and using K =
How does this value compare with the result obtained in part (b)? (They are considered equal if they are within 5%.)
greater than
O less than
O equal to
Transcribed Image Text:The system shown in the figure below consisting of four particles connected by massless, rigid rods is rotating around the x axis with an angular speed of 2.60 rad/s. The particle masses are m, = 1.05 kg, m2 = 4.05 kg, m3 m4 = 3.25 kg. 2.20 kg, and %3D y (m) Yi = 2.00 m- m2 Y2 1.00 m- + x (m) m3 Y3 -2.00 m m4 Y4 -4.00 m (a) What is the rotational inertia of the system around the x axis? kg m2 (b) Using K Iw?, what is the total rotational kinetic energy of the system? (c) What is the tangential speed of each of the four particles? m/s V m2 V m3 V ma m/s m/s m/s what is the total kinetic energy of the system? (d) Considering the system as four particles in motion and using K = How does this value compare with the result obtained in part (b)? (They are considered equal if they are within 5%.) greater than O less than O equal to
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