The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

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Answer 1

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Chapter 21, Problem 21P

(a)

To determine

The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

(b)

To determine

The table for the following occurrence in which five marbles from the bag rather than the four marbles can be achieved.

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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 \((-180^{\circ},180^{\circ}]\).

Answer 2

Question

Chapter 21, Problem 21P

(a)

To determine

The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

(b)

To determine

The table for the following occurrence in which five marbles from the bag rather than the four marbles can be achieved.

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Answer 3

Question

Chapter 21, Problem 21P

(a)

To determine

The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

(b)

To determine

The table for the following occurrence in which five marbles from the bag rather than the four marbles can be achieved.

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Answer 4

Question

Chapter 21, Problem 21P

(a)

To determine

The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

(b)

To determine

The table for the following occurrence in which five marbles from the bag rather than the four marbles can be achieved.

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Answer 5

Chapter 21, Problem 21P

(a)

To determine

The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

(b)

To determine

The table for the following occurrence in which five marbles from the bag rather than the four marbles can be achieved.

Answer 6

Chapter 21, Problem 21P

(a)

To determine

The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

Answer 7

Chapter 21, Problem 21P

(a)

To determine

The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

Answer 8

(b)

To determine

The table for the following occurrence in which five marbles from the bag rather than the four marbles can be achieved.

Answer 9

(b)

To determine

The table for the following occurrence in which five marbles from the bag rather than the four marbles can be achieved.

Answer 10

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Answer 11

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Answer 12

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Answer 13

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The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

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The table for the following occurrence in which three marbles from the bag rather than the four marbles can be achieved.

The table for the following occurrence in which five marbles from the bag rather than the four marbles can be achieved.

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