The expression for the normal force exerted on the object and the table for normal force and angle of range 0 ° ≤ θ ≤ 90 ° .

Question

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Answer 1

Question

Chapter 5, Problem 94AP

(a)

To determine

The expression for the normal force exerted on the object and the table for normal force and angle of range 0°≤θ≤90° .

(b)

To determine

The expression for acceleration on the object and the table for acceleration and angle of range 0°≤θ≤90° .

(c)

To determine

To plot: The graph of normal force and the acceleration as a function of incline angle.

Introduction: The acceleration of any object is defined as the rate of change of the velocity on an object with respect to time and the normal force is acts always perpendicular to the surface of motion of any object.

(d)

To determine

To explain: Weather the results of the normal force and acceleration is consistent with the known behavior or not for the limiting case of 0° and 90° .

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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 5, Problem 94AP

(a)

To determine

The expression for the normal force exerted on the object and the table for normal force and angle of range 0°≤θ≤90° .

(b)

To determine

The expression for acceleration on the object and the table for acceleration and angle of range 0°≤θ≤90° .

(c)

To determine

To plot: The graph of normal force and the acceleration as a function of incline angle.

Introduction: The acceleration of any object is defined as the rate of change of the velocity on an object with respect to time and the normal force is acts always perpendicular to the surface of motion of any object.

(d)

To determine

To explain: Weather the results of the normal force and acceleration is consistent with the known behavior or not for the limiting case of 0° and 90° .

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 5, Problem 94AP

(a)

To determine

The expression for the normal force exerted on the object and the table for normal force and angle of range 0°≤θ≤90° .

(b)

To determine

The expression for acceleration on the object and the table for acceleration and angle of range 0°≤θ≤90° .

(c)

To determine

To plot: The graph of normal force and the acceleration as a function of incline angle.

Introduction: The acceleration of any object is defined as the rate of change of the velocity on an object with respect to time and the normal force is acts always perpendicular to the surface of motion of any object.

(d)

To determine

To explain: Weather the results of the normal force and acceleration is consistent with the known behavior or not for the limiting case of 0° and 90° .

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 5, Problem 94AP

(a)

To determine

The expression for the normal force exerted on the object and the table for normal force and angle of range 0°≤θ≤90° .

(b)

To determine

The expression for acceleration on the object and the table for acceleration and angle of range 0°≤θ≤90° .

(c)

To determine

To plot: The graph of normal force and the acceleration as a function of incline angle.

Introduction: The acceleration of any object is defined as the rate of change of the velocity on an object with respect to time and the normal force is acts always perpendicular to the surface of motion of any object.

(d)

To determine

To explain: Weather the results of the normal force and acceleration is consistent with the known behavior or not for the limiting case of 0° and 90° .

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 5, Problem 94AP

(a)

To determine

The expression for the normal force exerted on the object and the table for normal force and angle of range 0°≤θ≤90° .

(b)

To determine

The expression for acceleration on the object and the table for acceleration and angle of range 0°≤θ≤90° .

(c)

To determine

To plot: The graph of normal force and the acceleration as a function of incline angle.

Introduction: The acceleration of any object is defined as the rate of change of the velocity on an object with respect to time and the normal force is acts always perpendicular to the surface of motion of any object.

(d)

To determine

To explain: Weather the results of the normal force and acceleration is consistent with the known behavior or not for the limiting case of 0° and 90° .

Answer 6

Chapter 5, Problem 94AP

(a)

To determine

The expression for the normal force exerted on the object and the table for normal force and angle of range 0°≤θ≤90° .

Answer 7

Chapter 5, Problem 94AP

(a)

To determine

The expression for the normal force exerted on the object and the table for normal force and angle of range 0°≤θ≤90° .

Answer 8

(b)

To determine

The expression for acceleration on the object and the table for acceleration and angle of range 0°≤θ≤90° .

Answer 9

(b)

To determine

The expression for acceleration on the object and the table for acceleration and angle of range 0°≤θ≤90° .

Answer 10

(c)

To determine

To plot: The graph of normal force and the acceleration as a function of incline angle.

Introduction: The acceleration of any object is defined as the rate of change of the velocity on an object with respect to time and the normal force is acts always perpendicular to the surface of motion of any object.

Answer 11

(c)

To determine

To plot: The graph of normal force and the acceleration as a function of incline angle.

Introduction: The acceleration of any object is defined as the rate of change of the velocity on an object with respect to time and the normal force is acts always perpendicular to the surface of motion of any object.

Answer 12

(d)

To determine

To explain: Weather the results of the normal force and acceleration is consistent with the known behavior or not for the limiting case of 0° and 90° .

Answer 13

(d)

To determine

To explain: Weather the results of the normal force and acceleration is consistent with the known behavior or not for the limiting case of 0° and 90° .

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 normal force exerted on the object and the table for normal force and angle of range 0 ° ≤ θ ≤ 90 ° .

Solution Summary: The author shows the expression for the normal force exerted on the object and the table for normal forces and angle of range.

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The expression for the normal force exerted on the object and the table for normal force and angle of range 0°≤θ≤90° .

The expression for acceleration on the object and the table for acceleration and angle of range 0°≤θ≤90° .

To explain: Weather the results of the normal force and acceleration is consistent with the known behavior or not for the limiting case of 0° and 90° .

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Chapter 5 Solutions