The force due to Earth’s gravity is proportional to distance from the center of the planet.

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Chapter 11, Problem 75P

(a)

To determine

To Show:The force due to Earth’s gravity is proportional to distance from the center of the planet.

(b)

To determine

To Show: The reading on the spring scale is proportional to the distance from the center of the planet considering the rotational motion.

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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 11, Problem 75P

(a)

To determine

To Show:The force due to Earth’s gravity is proportional to distance from the center of the planet.

(b)

To determine

To Show: The reading on the spring scale is proportional to the distance from the center of the planet considering the rotational motion.

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Answer 3

Question

Chapter 11, Problem 75P

(a)

To determine

To Show:The force due to Earth’s gravity is proportional to distance from the center of the planet.

(b)

To determine

To Show: The reading on the spring scale is proportional to the distance from the center of the planet considering the rotational motion.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 11, Problem 75P

(a)

To determine

To Show:The force due to Earth’s gravity is proportional to distance from the center of the planet.

(b)

To determine

To Show: The reading on the spring scale is proportional to the distance from the center of the planet considering the rotational motion.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 11, Problem 75P

(a)

To determine

To Show:The force due to Earth’s gravity is proportional to distance from the center of the planet.

(b)

To determine

To Show: The reading on the spring scale is proportional to the distance from the center of the planet considering the rotational motion.

Answer 6

Chapter 11, Problem 75P

(a)

To determine

To Show:The force due to Earth’s gravity is proportional to distance from the center of the planet.

Answer 7

Chapter 11, Problem 75P

(a)

To determine

To Show:The force due to Earth’s gravity is proportional to distance from the center of the planet.

Answer 8

(b)

To determine

To Show: The reading on the spring scale is proportional to the distance from the center of the planet considering the rotational motion.

Answer 9

(b)

To determine

To Show: The reading on the spring scale is proportional to the distance from the center of the planet considering the rotational motion.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 11 - Prob. 1P Ch. 11 - Prob. 2P Ch. 11 - Prob. 3P Ch. 11 - Prob. 4P Ch. 11 - Prob. 5P Ch. 11 - Prob. 6P Ch. 11 - Prob. 7P Ch. 11 - Prob. 8P Ch. 11 - Prob. 9P Ch. 11 - Prob. 10P

The force due to Earth’s gravity is proportional to distance from the center of the planet.

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To Show:The force due to Earth’s gravity is proportional to distance from the center of the planet.

To Show: The reading on the spring scale is proportional to the distance from the center of the planet considering the rotational motion.

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