SHM-2 Given the equation x-(8.00cm)cos( 20.0radt) for the position of an object, do the following. a) Sketch position x as a function of time for one cycle starting at t-0. b) What are the maximum and minimum values of x? Show these values on your graph. c) What is the amplitude of the motion? d) What are the angular frequency o and the (linear) frequency f of the motion? e) What is the period T of the motion? Show on your graph wheret-T (time the variable equals the period).

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**SHM-2** Given the equation \( x = (8.00 \, \text{cm}) \cos\left(20.0 \, \text{rad/s} \cdot t\right) \) for the position of an object, do the following:

a) Sketch position \( x \) as a function of time for one cycle starting at \( t = 0 \).

(Graph: Horizontal axis labeled 't' with dashed vertical lines indicating divisions; vertical axis labeled 'x' with solid and dashed lines indicating divisions.)

b) What are the maximum and minimum values of \( x \)? Show these values on your graph.

c) What is the amplitude of the motion?

d) What are the angular frequency \( \omega \) and the (linear) frequency \( f \) of the motion?

e) What is the period \( T \) of the motion? Show on your graph where \( t = T \) (time the variable equals the period).
Transcribed Image Text:**SHM-2** Given the equation \( x = (8.00 \, \text{cm}) \cos\left(20.0 \, \text{rad/s} \cdot t\right) \) for the position of an object, do the following: a) Sketch position \( x \) as a function of time for one cycle starting at \( t = 0 \). (Graph: Horizontal axis labeled 't' with dashed vertical lines indicating divisions; vertical axis labeled 'x' with solid and dashed lines indicating divisions.) b) What are the maximum and minimum values of \( x \)? Show these values on your graph. c) What is the amplitude of the motion? d) What are the angular frequency \( \omega \) and the (linear) frequency \( f \) of the motion? e) What is the period \( T \) of the motion? Show on your graph where \( t = T \) (time the variable equals the period).
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