10:15 PM Fri Dec 4100%A barbell spins around a pivot at its center at A. The barbell consists of two small balls, each with mass 500 grams (0.5 kg), at theends of a very low mass rod of length d = 30 cm (0.3 m; the radius of rotation is 0.15 m). The barbell spins clockwise withangular speed 100 radians/s.m10m2We can calculate the angular momentum and kinetic energy of this object in two different ways, by treating the object as twoseparate balls, or as one barbell.I: Treat the object as two separate balls(a) What is the speed of ball 1?m/s(b) Calculate the translational angular momentum Itrans, 1, A of just one of the balls (ball 1).|Itrans, 1, Al =kg Â. m?/szero magnitude; no directionout of pageO into page(c) Calculate the translational angular momentum Itrans, 2, A of the other ball (ball 2). 10:15 PM Fri Dec 4100%(c) Calculate the translational angular momentum Itrans, 2, A of the other ball (ball 2).| Itrans, 2, Al =kg Â- m²/szero magnitude; no directionout of pageinto page(d) By adding the translational angular momentum of ball 1 and the translational angular momentum of ball 2, calculate the totalangular momentum of the barbell, Itot, A.|I tot, al =kg Â· m²/szero magnitude; no directionout of pageinto page(e) Calculate the translational kinetic energy of ball 1.Krans,1=D 글끼히2 =(f) Calculate the translational kinetic energy of ball 2.Kt(g) By adding the translational kinetic energy of ball 1 and the translational kinetic energy of ball 2, calculate the total kineticenergy of the barbell.KtotalII: Treat the object as one barbell

Given- mass of ball , m = 500 g =0.5 kg length of rod , d = 30 cm =0.30 m radius of rotation , r…

A barbell spins around a pivot at its center at A. The barbell consists of two small balls, each with mass 500 grams (0.5 kg), at the ends of a very low mass rod of length d = 30 cm (0.3 m; the radius of rotation is 0.15 m). The barbell spins clockwise with angular speed 100 radians/s. 16 m We can calculate the angular momentum and kinetic energy of this object in two different ways, by treating the object as two separate balls, or as one barbell. I: Treat the object as two separate balls (a) What is the speed of ball 1? m/s (b) Calculate the translational angular momentum Itrans, 1, A of just one of the balls (ball 1). |Itrans, 1, Al = kg Â m2/s zero magnitude; no direction out of page O into page (c) Calculate the translational angular momentum Itrans, 2, A of the other ball (ball 2).

A barbell spins around a pivot at its center at A. The barbell consists of two small balls, each with mass 500 grams (0.5 kg), at the ends of a very low mass rod of length d = 30 cm (0.3 m; the radius of rotation is 0.15 m). The barbell spins clockwise with angular speed 100 radians/s. 16 m We can calculate the angular momentum and kinetic energy of this object in two different ways, by treating the object as two separate balls, or as one barbell. I: Treat the object as two separate balls (a) What is the speed of ball 1? m/s (b) Calculate the translational angular momentum Itrans, 1, A of just one of the balls (ball 1). |Itrans, 1, Al = kg Â m2/s zero magnitude; no direction out of page O into page (c) Calculate the translational angular momentum Itrans, 2, A of the other ball (ball 2).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 68PQ: Lara is running just outside the circumference of a carousel, looking for her favorite horse to...

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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

10:15 PM Fri Dec 4
100%
A barbell spins around a pivot at its center at A. The barbell consists of two small balls, each with mass 500 grams (0.5 kg), at the
ends of a very low mass rod of length d = 30 cm (0.3 m; the radius of rotation is 0.15 m). The barbell spins clockwise with
angular speed 100 radians/s.
m
10
m
2
We can calculate the angular momentum and kinetic energy of this object in two different ways, by treating the object as two
separate balls, or as one barbell.
I: Treat the object as two separate balls
(a) What is the speed of ball 1?
m/s
(b) Calculate the translational angular momentum Itrans, 1, A of just one of the balls (ball 1).
|Itrans, 1, Al =
kg Â. m?/s
zero magnitude; no direction
out of page
O into page
(c) Calculate the translational angular momentum Itrans, 2, A of the other ball (ball 2).

10:15 PM Fri Dec 4
100%
(c) Calculate the translational angular momentum Itrans, 2, A of the other ball (ball 2).
| Itrans, 2, A
l =
kg Â- m²/s
zero magnitude; no direction
out of page
into page
(d) By adding the translational angular momentum of ball 1 and the translational angular momentum of ball 2, calculate the total
angular momentum of the barbell, Itot, A.
|I tot, al =
kg Â· m²/s
zero magnitude; no direction
out of page
into page
(e) Calculate the translational kinetic energy of ball 1.
Krans,1=D 글끼히2 =
(f) Calculate the translational kinetic energy of ball 2.
Kt
(g) By adding the translational kinetic energy of ball 1 and the translational kinetic energy of ball 2, calculate the total kinetic
energy of the barbell.
Ktotal
II: Treat the object as one barbell

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Step 4 (c)Determination of translational angular momentum of ball 2

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Step 5 (d) Determination of total angular momentum

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