Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 78P
A particle’s position as a function of time is given by x = x0 sinωt, where x0 and ω are constants, (a) Find expressions for the velocity and acceleration, (b) What are the maximum values of velocity and acceleration? (Hint: Consult the table of derivatives in Appendix A.)
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Portfolio Problem 4. Consider two identical springs, each with natural length
and spring constant k, attached to a horizontal frame at distance 2l apart. Their
free ends are attached to the same particle of mass m, which is hanging under
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zontal frame, so that z < 0 when the particle is below the frame, as shown in
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dimensional along z.
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In the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page.
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(a) Calculate the maximum value of the emf induced between the ends of the conductor.
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(c) How would your answers to parts (a) and (b) change if the magnetic field were allowed to extend a distance R above the axis of rotation? (Select all that apply.)
The value in part (a) would increase.
The value in part (a) would remain the same.
The value in part (a) would decrease.
The value in part (b) would increase.
The value in part (b) would remain the same.
The value in part (b) would decrease.
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(d) Sketch the emf versus time when the field is as drawn in the figure. Choose File No file chosen
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(e) Sketch the emf…
Portfolio Problem 2. A particle of mass m slides in a straight line (say along i)
on a surface, with initial position x ©0 and initial velocity Vo > 0 at t = 0. The
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velocity. Write the equation of motion in this case, and solve it to find the time
at which the particle returns to the original position, x = 0. Show that the final
speed at x 0 is smaller than Vo.
=
Express all your answers in terms of a, fo and Vo.
Chapter 2 Solutions
Essential University Physics (3rd Edition)
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