Difference between revisions of "009A Sample Midterm 1, Problem 5"

Revision as of 08:59, 5 February 2017

The displacement from equilibrium of an object in harmonic motion on the end of a spring is:

y={\frac {1}{3}}\cos(12t)-{\frac {1}{4}}\sin(12t)

where $y$ is measured in feet and $t$ is the time in seconds. Determine the position and velocity of the object when $t={\frac {\pi }{8}}.$

Solution:

Step 1:

Step 2:

Final Answer:

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+<span class="exam">The displacement from equilibrium of an object in harmonic motion on the end of a spring is:
-::<span class="exam">a)
+::::::<span class="exam"><math>y=\frac{1}{3}\cos(12t)-\frac{1}{4}\sin(12t)</math>
-::<span class="exam">b)
+<span class="exam">where <math>y</math> is measured in feet and <math>t</math> is the time in seconds. Determine the position and velocity of the object when <math>t=\frac{\pi}{8}.</math>
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 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
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 [[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]