(b) The cylinder is now displaced a distance y from the equilibrium position, such that ly < h, and released from rest. Let the +y-axis be upward, so that if the cylinder is pulled up, y is positive, but if it is pushed down, y is negative. Immediately after it is released, what is the y-component of the acceleration a, of the cylinder? Your answer should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g. (Indicate the direction with the sign of your answer.)
(b) The cylinder is now displaced a distance y from the equilibrium position, such that ly < h, and released from rest. Let the +y-axis be upward, so that if the cylinder is pulled up, y is positive, but if it is pushed down, y is negative. Immediately after it is released, what is the y-component of the acceleration a, of the cylinder? Your answer should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g. (Indicate the direction with the sign of your answer.)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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i can't solve b,c

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(b)
The cylinder is now displaced a distance y from the equilibrium position, such that ly < h, and released from rest. Let the +y-axis be upward, so
that if the cylinder is pulled up, y is positive, but if it is pushed down, y is negative. Immediately after it is released, what is the y-component of
the acceleration a, of the cylinder? Your answer should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g.
(Indicate the direction with the sign of your answer.)
ay = gy
Apply Newton's second law as in part (a), but note now the acceleration is not zero. How does the buoyant force differ from part (a)? Be
careful of signs-note an upward displacement corresponds to y being a positive value, while a downward one means y is negative. How
should the acceleration direction depend on the displacement direction? Be sure to substitute the result of part (a) into your analysis-your
final answer should not include h.
(c)
The result of part (b) implies the cylinder is now in simple harmonic motion. What is the period T of the cylinder's oscillations? Your answer
should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g.
T =
ト
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