Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 2.30 rad/s. 4.00 kg y = 3.00 m x 2.00 kg y=-2.00 m 3.00 kg y=-4.00 m @ (a) Find the moment of inertia about the x axis. kg - m² (b) Find the total rotational kinetic energy evaluated from (c) Find the tangential speed of each particle. 4.00 kg particle m/s 2.00 kg particle m/s 3.00 kg particle m/s (d) Find the total kinetic energy evaluated from (e) Compare the answers for kinetic energy in parts (b) and (d). 0 IIw²

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 18P: Rigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.18). The...
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Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 2.30 rad/s.
y
4.00 kg
y = 3.00 m
0
2.00 kg
2.00 m
3.00 kg
y=-4.00 m
Ⓡ
(a) Find the moment of inertia about the x axis.
kg m²
(b) Find the total rotational kinetic energy evaluated from
//1w².
J
(c) Find the tangential speed of each particle.
4.00 kg particle
m/s
2.00 kg particle
m/s
3.00 kg particle
m/s
(d) Find the total kinetic energy evaluated from Σm.v.².
J
(e) Compare the answers for kinetic energy in parts (b) and (d).
Transcribed Image Text:Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 2.30 rad/s. y 4.00 kg y = 3.00 m 0 2.00 kg 2.00 m 3.00 kg y=-4.00 m Ⓡ (a) Find the moment of inertia about the x axis. kg m² (b) Find the total rotational kinetic energy evaluated from //1w². J (c) Find the tangential speed of each particle. 4.00 kg particle m/s 2.00 kg particle m/s 3.00 kg particle m/s (d) Find the total kinetic energy evaluated from Σm.v.². J (e) Compare the answers for kinetic energy in parts (b) and (d).
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