9. QIC A single bead can slide with negligible friction on a stiff wire that has been bent into a circular loop of radius 15.0 cm as shown in Figure P5.59. The circle is always in a vertical plane and rotates steadily about its vertical diam- eter with a period of 0.450 s. The position of the bead is described by the angle 0 that the radial line, from the center of the loop to the bead, makes with the vertical. (a) At what angle up from the bottom of the circle can the bead stay motionless relative to the turning circle? (b) What If? Repeat the problem, this time taking the period of the circle's rotation as 0.850 s. (c) Describe how the solution to part (b) is different from the solution to part (a). (d) For any period or loop sizeyis there always an angle at which the bead can stand still relative to the loop? (e) Are there ever more than two angles? Arnold Arons suggested the idea for this problem. Figure P5.59
9. QIC A single bead can slide with negligible friction on a stiff wire that has been bent into a circular loop of radius 15.0 cm as shown in Figure P5.59. The circle is always in a vertical plane and rotates steadily about its vertical diam- eter with a period of 0.450 s. The position of the bead is described by the angle 0 that the radial line, from the center of the loop to the bead, makes with the vertical. (a) At what angle up from the bottom of the circle can the bead stay motionless relative to the turning circle? (b) What If? Repeat the problem, this time taking the period of the circle's rotation as 0.850 s. (c) Describe how the solution to part (b) is different from the solution to part (a). (d) For any period or loop sizeyis there always an angle at which the bead can stand still relative to the loop? (e) Are there ever more than two angles? Arnold Arons suggested the idea for this problem. Figure P5.59
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 59P: A single bead can slide with negligible friction on a stiff wire that has been bent into a circular...
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Transcribed Image Text:59. QIC A single bead can slide with negligible friction on a
stiff wire that has been bent into a circular loop of radius
15.0 cm as shown in Figure P5.59. The circle is always in
a vertical plane and rotates steadily about its vertical diam-
eter with a period of 0.450 s. The position of the bead is
described by the angle 0 that the radial line, from the center
of the loop to the bead, makes with the vertical. (a) At what
angle up from the bottom of the circle can the bead stay
motionless relative to the turning circle?
(b) What If? Repeat the problem, this time
taking the period of the circle's rotation as
0.850 s. (c) Describe how the solution to
part (b) is different from the solution to
part (a). (d) For any period or loop sizeyis
there always an angle at which the bead can
stand still relative to the loop? (e) Are there
ever more than two angles? Arnold Arons
suggested the idea for this problem.
Figure P5.59
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