A block is set in motion hanging from a spring and oscillates about its resting position
2 answers:
Answer:
t = 1.277 sec and t = 2.848 sec
Step-by-step explanation:
This problem is much more easily done by graphing it than by computing it using algebra.
The values of t we're looking for are the ones that make x = 0, so we want the solutions of 
on the interval [0, 3].
According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.
Answer:
t = 1.28, 2.85
Step-by-step explanation:
x = 0.6sin(2t)+0.4cos(2t)
x = 0, so
0.6sin(2t)+0.4cos(2t) = 0
0.6sin(2t) = -0.4cos(2t)
Convert into tan(2t) by dividing both sides by 0.6cos(2t):
tan(2t) = -0.4/0.6
tan(2t) =-2/3
Since t lies in [0,3] ,
2t lies in [0,6]
tan(2t) =-2/3
Basic angle:
0.5880026035
Tan is negative is second and fourth quadrants
2t = 2.553590005, 5.695182704
t = 1.276795025, 2.847591352
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