(a) To Draw: A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

Question

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Answer 1

Question

Chapter 14, Problem 15SEQ

To determine

(a)

To Draw:

A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

To determine

(b)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

To determine

(c)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.

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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).

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Answer 2

Question

Chapter 14, Problem 15SEQ

To determine

(a)

To Draw:

A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

To determine

(b)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

To determine

(c)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 14, Problem 15SEQ

To determine

(a)

To Draw:

A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

To determine

(b)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

To determine

(c)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 14, Problem 15SEQ

To determine

(a)

To Draw:

A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

To determine

(b)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

To determine

(c)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 14, Problem 15SEQ

To determine

(a)

To Draw:

A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

To determine

(b)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

To determine

(c)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.

Answer 6

Chapter 14, Problem 15SEQ

To determine

(a)

To Draw:

A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

Answer 7

Chapter 14, Problem 15SEQ

To determine

(a)

To Draw:

A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

Answer 8

To determine

(b)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

Answer 9

To determine

(b)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

Answer 10

To determine

(c)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.

Answer 11

To determine

(c)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

(a) To Draw: A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

Solution Summary: The author explains Orbital Velocity Law, which allows to calculate galaxy mass using orbital speed and orbiting radius.

(a)

To Draw:

A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

(b)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

(c)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.

Want to see the full answer?

Chapter 14 Solutions

(a) To Draw: A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

Solution Summary: The author explains Orbital Velocity Law, which allows to calculate galaxy mass using orbital speed and orbiting radius.

(a) To Draw: A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

(b) To Draw: A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

(c) To Draw: A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.

Want to see the full answer?

Chapter 14 Solutions

(a)

To Draw:

A rotation curve, if all the mass of galaxy is concentrated in the center of the galaxy.

(b)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and zero density outside that.

(c)

To Draw:

A rotation curve, if the galaxy has a constant mass density inside 20,000 light years, and its enclosed mass increases proportionally to the radius outside that.