Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 16.2, Problem 5aTH
To determine
The free body diagrams for block A, B and system C and write the force equations.
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Select four random/arbitrary points (two near Q1 (left charge) and two near Q2 (right charge). Let Q1 = +50 microCoulombs (μ C) and Q2 = +50 microCoulombs (μ C). Calculate the Electric Field vectors at those points. Then overlay those Electric Field vectors on to the Electric Field Lines below (figure).
Define your coordinate system such that the position of Q1 is at your origin with the +x axis horizontal to the right and the +y axis vertical pointing up. The position of Q2 is 52 cm to the right of your origin (Q1). Directly above the Q1 (along the +y axis), the maximum distance shown is 25 cm. Remember your E-field vectors should be tangent to the E-field lines with arrow lengths drawn proportionately.
We can use the calculus of variations to solve a classic problem in the history ofphysics the branchistochrome.Consider a particle moving in a constant force field startingat rest from some point (x1,y1) to some lower point (x2,y2).
Find a suitable set of generalized coordinates for point particle moving on the surface of a hemisphere of radius R whose center is at the origin.
A numerical example may help to illustrate the geometry involved in Stokes' theorem.
Consider the portion of a sphere shown in Figure 7.17. The surface is specified by r =
4,0 ≤ 0 ≤ 0.1, 0≤ ≤ 0.37, and the closed path forming its perimeter is com-
posed of three circular arcs. We are given the field H = 6r sin pa, +18r sin 0 cos pa
and are asked to evaluate each side of Stokes' theorem.
0.1л
r=4₁
(1)
1
3
(2)
0.3л
Figure 7.17 A portion of a spherical cap is
used as a surface and a closed path to illustrate
Stokes' theorem.
Chapter 16 Solutions
Tutorials in Introductory Physics
Ch. 16.1 - Draw a freebody diagram for the book. Label each...Ch. 16.1 - How do the forces exerted on the book in this case...Ch. 16.1 - Consider the following statement made by a student...Ch. 16.1 - Consider a book on top of a level table while the...Ch. 16.1 - Review your answer to part a. In addition, reread...Ch. 16.1 - In the spaces below, draw a free-body diagram for...Ch. 16.1 - Identify all the Newton’s third law...Ch. 16.1 - Rank, from largest to smallest, the magnitudes of...Ch. 16.1 - Draw and label a freebody diagram for system S12 .Ch. 16.1 - Compare the forces that appear on your free-body...
Ch. 16.1 - Let C represent the system consisting of the whole...Ch. 16.1 - A block is at rest on an incline as shown below at...Ch. 16.1 - A block is at rest on an incline as shown below at...Ch. 16.1 - A block is at rest on an incline as shown below at...Ch. 16.1 - Draw a free-body diagram for the book. Label the...Ch. 16.1 - For each force that appears on your free-body...Ch. 16.2 - In the spaces provided draw and label separate...Ch. 16.2 - Rank the magnitudes of all the horizontal forces...Ch. 16.2 - Are any of the forces that you drew for instant 1...Ch. 16.2 - Are any of the forces that you drew for instant 1...Ch. 16.2 - Two creates, A and B, are in an elevator as shown....Ch. 16.2 - As the elevator approach its destination, its...Ch. 16.2 - Prob. 3aTHCh. 16.2 - The vector representing the acceleration systems A...Ch. 16.2 - The vector representing the net force on system A...Ch. 16.2 - The vector representing the frictional force on...Ch. 16.2 - Prob. 4bTHCh. 16.2 - Prob. 4cTHCh. 16.2 - Prob. 4dTHCh. 16.2 - Prob. 5aTHCh. 16.2 - Using only the forces in your free-body diagram...Ch. 16.2 - Using only the forces in your free-body diagrams...Ch. 16.2 - Suppose the friction between the two blocks is...Ch. 16.3 - Draw an arrow to indicate the direction of the...Ch. 16.3 - Draw an arrow to indicate the direction of force...Ch. 16.3 - Draw and label a free-body diagram for the block...Ch. 16.3 - Prob. 2THCh. 16.3 - Describe the motion of each of the systems A, B,...Ch. 16.3 - Draw vectors below to represent the acceleration...Ch. 16.3 - Draw and label separate freebody diagrams for...Ch. 16.3 - Rank the magnitudes of the net forces on systems...Ch. 16.3 - Write expressions for the tension in strings P and...
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