An object oscillates with simple harmonic motion along the x axis. Its position varies with time according to the equation and is in meters. x(t) = 4.00c ost+ T - 4 t is in seconds and the angles in the parentheses are in radians. c) Using the results of part (b), determine the position, velocity, and acceleration of the object at t = 1.00 s. (d) Determine the maximum speed and maximum acceleration of the object. a) Determine the amplitude, frequency, and period of the motion. b) Write equations for the velocity and acceleration of the object at any time t.
An object oscillates with simple harmonic motion along the x axis. Its position varies with time according to the equation and is in meters. x(t) = 4.00c ost+ T - 4 t is in seconds and the angles in the parentheses are in radians. c) Using the results of part (b), determine the position, velocity, and acceleration of the object at t = 1.00 s. (d) Determine the maximum speed and maximum acceleration of the object. a) Determine the amplitude, frequency, and period of the motion. b) Write equations for the velocity and acceleration of the object at any time t.
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Transcribed Image Text:An object oscillates with simple harmonic motion along the x axis. Its
position varies with time according to the equation and is in meters.
T
x(t) = 4.00c os at +
—▬▬▬▬▬▬
4
t is in seconds and the angles in the parentheses are in radians.
a) Determine the amplitude, frequency, and period of the
motion.
b) Write equations for the velocity and acceleration of the object
at any time t.
c) Using the results of part (b), determine the position,
velocity, and acceleration of the object at t = 1.00 s.
(d) Determine the maximum speed and maximum
acceleration of the object.
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