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# Problem 4: An object is attached to a spring in such a way that it undergoes...

## Question

###### Problem 4: An object is attached to a spring in such a way that it undergoes...

Problem 4: An object is attached to a spring in such a way that it undergoes simple harmonic motion with a period of 2 s. a) [3 points] What is the angular frequency of the oscillations? b) [3 points] If the mass of the object is 4 kg, what is the value of the spring constant, k? c) [2 points] If the amplitude of the oscillations is 20 cm, what is the total energy of the spring- mass system?
d) [4 points] Under the assumption above, what is the maximum velocity and acceleration of the object? e) [5 points] Write down the formula for the position of the object as a function of time, x(t), assuming that its velocity is maximum at t = 0 going toward the positive direction. Identify the value of all the constants that you use.
f) *BONUS* [3 points) Write down the formula for the position of the object as a function of time, x(t), assuming that its velocity is maximum at t = 0 going toward the positive direction. Identify the value of all the constants that you use. (If you use sine version for part (e), then you need to use the cosine version here, and vice versa)

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