Which of the following could possibly be the solution to Simple Harmonic Motion

Question

Which of the following could possibly be the solution to Simple Harmonic Motion in time, a is a constant? A. Y(t) = t^2 B. Y(t) = Sin(a - t) C. Y(t) = Tan(a - t) D. Y(t) = E. Y(t) = ln(t - a) Which of the following is not true regarding Simple Harmonic Motion (SHM)? A. SHM is a simple model which approximates many real world systems. B. SHM is represented by a function which has a repetition, this repetition's frequency can be represented in terms of an angular speed. C. SHM cannot be graphed or represented visually, it is just a mathematical formula we can use in calculations. D. SHM can be modified to better approximate systems like damped oscillations and other real word phenomena. E. SHM is a good learning tool to become familiar with more complex analysis. Given the following formula of position: x(t) = 5 middot Cos(4 middot t). What is the largest value the function can have on the X axis? A. 0 B. 4 C. 5 D. 20 E. There is no limit to the X value of the function.

Explanation / Answer

27]

The solution to the simple harmonic motion in time can be of the form:

Y(t) = Asin(at) or Y(t) = Bcos(at)

therefore the answer is option [B].

28] Answer : option [C]. This is because SHM can be graphed with ease by representing a sinusoidal wave with a given amplitude, frequency and a phase. It is not just a mathematical formula which we use in calculation.

29] X(t) = 5cos(4t)

since cos(4t) has a maximum value of +1 therefore the maximum value of X(t) will be: X(t) = 5

so the answer is option [C].

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