The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6 .0g's .

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Answer 1

Question

Chapter 5, Problem 12P

(a)

To determine

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed $6.0g's$ .

(b)

To determine

The effective weight of $78-kg$ pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.

(c)

To determine

At the top of the circle (assume the same speed).

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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 5, Problem 12P

(a)

To determine

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed $6.0g's$ .

(b)

To determine

The effective weight of $78-kg$ pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.

(c)

To determine

At the top of the circle (assume the same speed).

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Answer 3

Question

Chapter 5, Problem 12P

(a)

To determine

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed $6.0g's$ .

(b)

To determine

The effective weight of $78-kg$ pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.

(c)

To determine

At the top of the circle (assume the same speed).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 5, Problem 12P

(a)

To determine

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed $6.0g's$ .

(b)

To determine

The effective weight of $78-kg$ pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.

(c)

To determine

At the top of the circle (assume the same speed).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 5, Problem 12P

(a)

To determine

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed $6.0g's$ .

(b)

To determine

The effective weight of $78-kg$ pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.

(c)

To determine

At the top of the circle (assume the same speed).

Answer 6

Chapter 5, Problem 12P

(a)

To determine

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed $6.0g's$ .

Answer 7

Chapter 5, Problem 12P

(a)

To determine

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed $6.0g's$ .

Answer 8

(b)

To determine

The effective weight of $78-kg$ pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.

Answer 9

(b)

To determine

The effective weight of $78-kg$ pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.

Answer 10

(c)

To determine

At the top of the circle (assume the same speed).

Answer 11

(c)

To determine

At the top of the circle (assume the same speed).

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

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The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6 .0g's .

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The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed $6.0g's$ .

The effective weight of $78-kg$ pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.

At the top of the circle (assume the same speed).

Want to see the full answer?

Chapter 5 Solutions

Additional Science Textbook Solutions

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6 .0g's .

Concept explainers

Videos

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0g's<m:math><m:mrow><m:mtext>6</m:mtext><m:mtext>.0g's</m:mtext></m:mrow></m:math> .

The effective weight of 78-kg<m:math><m:mrow><m:mtext>78-kg</m:mtext></m:mrow></m:math> pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.

At the top of the circle (assume the same speed).

Want to see the full answer?

Chapter 5 Solutions

Additional Science Textbook Solutions

The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed $6.0g's$ .

The effective weight of $78-kg$ pilot’s (the force with which the seat pushes up on him) at the bottom of the circle.