The expression for the speed of the seaplane as a function of time.

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Answer 1

Question

Chapter 5, Problem 21P

(a)

To determine

The expression for the speed of the seaplane as a function of time.

(b)

To determine

To sketch: The graph of the speed as a function of time.

(c)

To determine

To explain: Whether the seaplane come to a complete stop after a finite interval of time.

(d)

To determine

To explain: Whether the seaplane travels a finite distance in stopping.

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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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simple diagram to illustrate the setup for each law- coulombs law and biot savart law

Answer 2

Question

Chapter 5, Problem 21P

(a)

To determine

The expression for the speed of the seaplane as a function of time.

(b)

To determine

To sketch: The graph of the speed as a function of time.

(c)

To determine

To explain: Whether the seaplane come to a complete stop after a finite interval of time.

(d)

To determine

To explain: Whether the seaplane travels a finite distance in stopping.

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Answer 3

Question

Chapter 5, Problem 21P

(a)

To determine

The expression for the speed of the seaplane as a function of time.

(b)

To determine

To sketch: The graph of the speed as a function of time.

(c)

To determine

To explain: Whether the seaplane come to a complete stop after a finite interval of time.

(d)

To determine

To explain: Whether the seaplane travels a finite distance in stopping.

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 5, Problem 21P

(a)

To determine

The expression for the speed of the seaplane as a function of time.

(b)

To determine

To sketch: The graph of the speed as a function of time.

(c)

To determine

To explain: Whether the seaplane come to a complete stop after a finite interval of time.

(d)

To determine

To explain: Whether the seaplane travels a finite distance in stopping.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 5, Problem 21P

(a)

To determine

The expression for the speed of the seaplane as a function of time.

(b)

To determine

To sketch: The graph of the speed as a function of time.

(c)

To determine

To explain: Whether the seaplane come to a complete stop after a finite interval of time.

(d)

To determine

To explain: Whether the seaplane travels a finite distance in stopping.

Answer 6

Chapter 5, Problem 21P

(a)

To determine

The expression for the speed of the seaplane as a function of time.

Answer 7

Chapter 5, Problem 21P

(a)

To determine

The expression for the speed of the seaplane as a function of time.

Answer 8

(b)

To determine

To sketch: The graph of the speed as a function of time.

Answer 9

(b)

To determine

To sketch: The graph of the speed as a function of time.

Answer 10

(c)

To determine

To explain: Whether the seaplane come to a complete stop after a finite interval of time.

Answer 11

(c)

To determine

To explain: Whether the seaplane come to a complete stop after a finite interval of time.

Answer 12

(d)

To determine

To explain: Whether the seaplane travels a finite distance in stopping.

Answer 13

(d)

To determine

To explain: Whether the seaplane travels a finite distance in stopping.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

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The expression for the speed of the seaplane as a function of time.

Solution Summary: The author explains the expression for the speed of the seaplane as a function of time and Newton's second law applied to the plane.

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The expression for the speed of the seaplane as a function of time.

To sketch: The graph of the speed as a function of time.

To explain: Whether the seaplane come to a complete stop after a finite interval of time.

To explain: Whether the seaplane travels a finite distance in stopping.

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Chapter 5 Solutions