Question

39. A mass is oscillating on the end of a spring. The distance, ( y ), of the mass from its equilibrium position is given by [ y=y_{0} cos (2 pi omega t) ] Here ( y ) is in centimeters, ( t ) is time in seconds, and ( y_{0} ) and ( omega ) are positive constants. (a) What is the meaning of ( y_{0} ) in terms of oscillations? (b) How many oscillations are completed in 1 second?

          39. A mass is oscillating on the end of a spring. The distance, ( y ), of the mass from its equilibrium position is given by
[
y=y_{0} cos (2 pi omega t)
]
Here ( y ) is in centimeters, ( t ) is time in seconds, and ( y_{0} ) and ( omega ) are positive constants.
(a) What is the meaning of ( y_{0} ) in terms of oscillations?
(b) How many oscillations are completed in 1 second?

39. A mass is oscillating on the end of a spring. The distance, ( y ), of the mass from its equilibrium position is given by
[
y=y0 cos (2 pi omega t)
]
Here ( y ) is in centimeters, ( t ) is time in seconds, and ( y0 ) and ( omega ) are positive constants.
(a) What is the meaning of ( y0 ) in terms of oscillations?
(b) How many oscillations are completed in 1 second?

Added by David L.

Algebra and Trigonometry

Michael Sullivan 10th Edition

Chapter 9

Instant Answer

Solved by Expert Zack A

08/13/2023

Step 1

This is the maximum distance the mass moves from its equilibrium position during one oscillation. (b) The number of oscillations completed in 1 second is given by the frequency of the oscillation, which is represented by the constant \(\omega\). Show more…

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