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Physics 1004 S2013 In Class Problem 2 Solutions

# Physics 1004 S2013 In Class Problem 2 Solutions -...

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Name (print)________________________________________________ Student No.________________ _ P a g e | 1 ICP 2 Use the reverse side if necessary Physics 1004 S2013: In Class Problem 2 Please answer the question on this sheet in ink . Show all work, express your answers to the appropriate number of significant figures and use scientific notation where necessary. Work handed in on paper other than this sheet will not be graded. Calculate the phase constant φ (in radians) for the harmonic oscillator with the velocity function v(t) given in the figure. The position function has the form: ( ) ( ) . The vertical scale on the axis has a value of . Solution We have the graph of the velocity function v(t), and the value of v at time t = 0. If we start with the position function, and differentiate with respect to time, we will get the velocity function: ( ) ( ) If you are comfortable with differentiation i then you will know that this has the result

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