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).
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
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e4fcbe0-ed74-4447-b38a-a2af13f9fabc%2F800f3b1a-8750-4138-a60e-9fe2dda322b2%2F2rl0wjf_processed.jpeg&w=3840&q=75)
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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