# HW32 - homework 32 PAPAGEORGE MATT Due 4:00 am A sin t...

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homework 32 – PAPAGEORGE, MATT – Due: Apr 17 2008, 4:00 am 1 Question 1, chap 15, sect 2. part 1 of 1 10 points Simple harmonic motion can be described using the equation y = A sin( k x - ω t - φ ) . Hint: sin( - θ ) = - sin θ . Consider the simple harmonic motion given by the figure. + A -A y 0 π 2 π 3 π 4 π At position x = 0, we have ω t This motion is described by 1. y = A tan parenleftBig - ω t + π 2 parenrightBig 2. y = A sin parenleftbigg - ω t + 3 π 2 parenrightbigg correct 3. y = A cos parenleftbigg - ω t - 3 π 2 parenrightbigg 4. y = A sin parenleftbigg - ω t - 3 π 2 parenrightbigg 5. y = A tan parenleftbigg - ω t + 3 π 2 parenrightbigg 6. y = A cos parenleftBig - ω t + π 2 parenrightBig 7. y = A cos parenleftbigg - ω t + 3 π 2 parenrightbigg 8. y = A tan parenleftbigg - ω t - 3 π 2 parenrightbigg 9. y = A sin parenleftBig - ω t + π 2 parenrightBig Explanation: If the y -axis is moved such that the angle - ω t + 3 π 2 = 0 , the curve is the sine function A sin( - ω t ) ; therefore y = A sin parenleftbigg - ω t + 3 π 2 parenrightbigg is the curve in the figure. Question 2, chap 15, sect 2. part 1 of 1 0 points A body oscillates with simple harmonic mo- tion along the x -axis. Its displacement varies with time according to the equation, x ( t ) = A sin( ω t + φ ) .

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