2. A 50-g mass is suspended by a spring attached to the ceiling, such that when it is at rest, it is 40 cm above a table. The mass is pulled down to a height of 25 cm, and then released at t = 0. It takes 0.4 s for the mass to travel periodically between its maximum and minimum locations. A) Sketch 2 cycles of this scenario, showing the height of the mass above the table in terms of time. (***Note: Remember to label the 5 main coordinates of each cycle, and the equation of axis.***)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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2. A 50-g mass is suspended by a spring attached to the ceiling, such that
when it is at rest, it is 40 cm above a table. The mass is pulled down to a
height of 25 cm, and then released at t = 0. It takes 0.4 s for the mass to
travel periodically between its maximum and minimum locations.
A) Sketch 2 cycles of this scenario, showing the height of the mass
above the table in terms of time.
(***Note: Remember to label the 5 main coordinates of each cycle, and
the equation of axis.***)
B) Develop a positive cosine equation and a positive sine equation,
both that mocel the sketch, and explain how you determined each part of
those equations.
(***Note: Develop your equations in terms of radians.***)
Using your cosine equation and your sketch. determine the
instances when the height of the spring is 50 cm above the table.
D) Imagine the spring is stretched twice as much before being released,
and it maintained its periodic motion. Explain how your equations
would change.
Transcribed Image Text:2. A 50-g mass is suspended by a spring attached to the ceiling, such that when it is at rest, it is 40 cm above a table. The mass is pulled down to a height of 25 cm, and then released at t = 0. It takes 0.4 s for the mass to travel periodically between its maximum and minimum locations. A) Sketch 2 cycles of this scenario, showing the height of the mass above the table in terms of time. (***Note: Remember to label the 5 main coordinates of each cycle, and the equation of axis.***) B) Develop a positive cosine equation and a positive sine equation, both that mocel the sketch, and explain how you determined each part of those equations. (***Note: Develop your equations in terms of radians.***) Using your cosine equation and your sketch. determine the instances when the height of the spring is 50 cm above the table. D) Imagine the spring is stretched twice as much before being released, and it maintained its periodic motion. Explain how your equations would change.
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