A 0.50 kg mass attached to the end of a spring vibrates according to the equation...
A 0.50 kg mass attached to the end of a spring vibrates according to the equation x = 0.45 cos 8.40t, where x is in meters, and t in seconds.
(a) Write down equations for its velocity and acceleration as functions of time.
(b) What is its maximum speed and what is the earliest time (after t =0) at which it has this speed?
(c) What is its maximum positive acceleration and the earliest time ( t >0) at which it has this acceleration.?
(d) Draw a neat graph of x vs t showing correct amplitude and period. Your graph should cover 2 cycles of the motion.
(e) Draw a neat graph of v vs t . Your graph should cover 2 cycles of the motion.
(f) How are the two graphs (x vs t and v vs t) the same and how do they differ?
Homework Answers
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A 0.50 kg mass attached to the end of a spring vibrates
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