
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 1.2, Problem 1fT
Description of Motion:
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For each of the actions depicted below, a magnet and/or metal loop moves with velocity v→ (v→ is constant and has the same magnitude in all parts). Determine whether a current is induced in the metal loop. If so, indicate the direction of the current in the loop, either clockwise or counterclockwise when seen from the right of the loop. The axis of the magnet is lined up with the center of the loop. For the action depicted in (Figure 5), indicate the direction of the induced current in the loop (clockwise, counterclockwise or zero, when seen from the right of the loop). I know that the current is clockwise, I just dont understand why. Please fully explain why it's clockwise, Thank you
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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Chapter 1 Solutions
Tutorials in Introductory Physics
Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - Each person in your group should obtain a ruler...Ch. 1.1 - A. In the space below, sketch a possible ticker...Ch. 1.1 - B. Together with your classmates, take your ticker...Ch. 1.1 - C. Based on your observations of your tape segment...
Ch. 1.1 - D. Review your earlier interpretation of the speed...Ch. 1.1 - E. Suppose you selected two widely separated dots...Ch. 1.2 - The computer program assumes a particular...Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - How are the motions in parts C and D similar? How...Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion: Move toward the detector...Ch. 1.2 - How do the acceleration graphs for F, G, and H...Ch. 1.2 - Description of Motion: Initially move away from...Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - The term decelerate is often used to indicate that...Ch. 1.3 - Draw vectors on your diagram that represent the...Ch. 1.3 - B. In the space at right, compare the velocities...Ch. 1.3 - Consider the change in velocity vector between two...Ch. 1.3 - Use the definition of acceleration to draw a...Ch. 1.3 - Does the acceleration change as the ball rolls up...Ch. 1.3 - Generalize your results thus far to answer the...Ch. 1.3 - Choose two successive points. In the space at...Ch. 1.3 - In the space at right, draw a vector to represent...Ch. 1.3 - Choose a point before the turnaround and another...Ch. 1.3 - Suppose that you had chosen the turnaround as one...Ch. 1.3 - In the space at right, draw a vector that...Ch. 1.4 - Prob. 1aTCh. 1.4 - If you were to choose a different origin for the...Ch. 1.4 - On a separate part of your paper, copy the...Ch. 1.4 - Suppose you were to choose a new point on the...Ch. 1.4 - On a separate part of your paper, copy the...Ch. 1.4 - Suppose the object started from rest at point E...Ch. 1.4 - At several points on each of the diagrams below,...Ch. 1.5 - The second diagram at right shows the positions of...Ch. 1.5 - The picture of the spaceships and shuttle from the...Ch. 1.5 - Prob. 1cTCh. 1.5 - Spaceship C moves so as to remain a fixed distance...Ch. 1.5 - Consider the following statement: "The...Ch. 1.5 - Prob. 1fTCh. 1.5 - Describe the motion of the car and the truck...Ch. 1.5 - Complete the diagram at right by drawing the car...Ch. 1.5 - Use your completed diagram to sketch average...Ch. 1.5 - During a small time interval t from just before to...
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