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Solved: A 300-g mass vibrates according to the equation x
Chapter 11, Problem 21P(choose chapter or problem)
Problem 21P
A 300-g mass vibrates according to the equation x = 0.38 sin 6.50t, where x is in meters and t is in seconds. Determine (a) the amplitude, (b) the frequency, (c) the period, (d) the total energy, and (e) the KE and PE when x is 9.0 cm. (f) Draw a careful graph of x vs. t showing the correct amplitude and period.
Questions & Answers
QUESTION:
Problem 21P
A 300-g mass vibrates according to the equation x = 0.38 sin 6.50t, where x is in meters and t is in seconds. Determine (a) the amplitude, (b) the frequency, (c) the period, (d) the total energy, and (e) the KE and PE when x is 9.0 cm. (f) Draw a careful graph of x vs. t showing the correct amplitude and period.
ANSWER:
Solution 21P
Step 1 of 7:
In this question, we need to find the amplitude of the vibrating mass
In part b, we need to find the frequency of the vibrating mass
In part c, we need to find the period of the vibrating mass
In part d, we need to find the total energy of the vibrating mass
In part e, we need to find KE and PE of the vibrating mass
In part f, we need to draw a graph of position vs time
showing amplitude and period
Data given
Mass
Position equation
Distance