Problem 3: An object is undergoing simple harmonic motion along the x-axis. Its position is described as a function of time by x(t) = 1.7 cos(3.1t – 1.3), where x is in meters, the time, t, is i seconds, and the argument of the cosine is in radians. Part (a) Find the amplitude of the simple harmonic motion, in meters. Part (b) What is the value of the angular frequency, in radians per second? Part (c) Determine the position of the object, in meters, at the time t = 0. Part (d) What is the object's velocity, in meters per second, at time t = 0? Part (e) Calculate the object's acceleration, in meters per second squared, at timet= 0. Part (f) What is the magnitude of the object's maximum acceleration, in meters per second squared?

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
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Problem 3: An object is undergoing simple harmonic motion along the x-axis. Its position is
described as a function of time by x(t) = 1.7 cos(3.1t – 1.3), where x is in meters, the time, t, is in
seconds, and the argument of the cosine is in radians.
Part (a) Find the amplitude of the simple harmonic motion, in meters.
Part (b) What is the value of the angular frequency, in radians
per second?
Part (c) Determine the position of the object, in meters, at the time t = 0.
Part (d) What is the object's velocity, in meters per second, at time t = 0?
Part (e) Calculate the object's acceleration, in meters per second squared, at time t = 0.
Part (f) What is the magnitude of the object's maximum acceleration, in meters per second
squared?
Transcribed Image Text:Problem 3: An object is undergoing simple harmonic motion along the x-axis. Its position is described as a function of time by x(t) = 1.7 cos(3.1t – 1.3), where x is in meters, the time, t, is in seconds, and the argument of the cosine is in radians. Part (a) Find the amplitude of the simple harmonic motion, in meters. Part (b) What is the value of the angular frequency, in radians per second? Part (c) Determine the position of the object, in meters, at the time t = 0. Part (d) What is the object's velocity, in meters per second, at time t = 0? Part (e) Calculate the object's acceleration, in meters per second squared, at time t = 0. Part (f) What is the magnitude of the object's maximum acceleration, in meters per second squared?
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