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A familiar toy consists of donut-shaped permanent magnets
Chapter 6, Problem 23P(choose chapter or problem)
Problem 23P
A familiar toy consists of donut-shaped permanent magnets (magnetization parallel to the axis), which slide frictionlessly on a vertical rod (Fig. 6.31). Treat the magnets as dipoles, with mass md and dipole moment m.
(a) If you put two back-to-back magnets on the rod, the upper one will “float”—the magnetic force upward balancing the gravitational force downward. At what height (z) does it float?
(b) If you now add a third magnet (parallel to the bottom one), what is the ratio of the two heights? (Determine the actual number, to three significant digits.)
Questions & Answers
QUESTION:
Problem 23P
A familiar toy consists of donut-shaped permanent magnets (magnetization parallel to the axis), which slide frictionlessly on a vertical rod (Fig. 6.31). Treat the magnets as dipoles, with mass md and dipole moment m.
(a) If you put two back-to-back magnets on the rod, the upper one will “float”—the magnetic force upward balancing the gravitational force downward. At what height (z) does it float?
(b) If you now add a third magnet (parallel to the bottom one), what is the ratio of the two heights? (Determine the actual number, to three significant digits.)
ANSWER:
Solution
Step 1 of 3
In this problem, we have to find the magnetic force of gravitational floats are not with the given figure.