The question asks " how long does it take the blcok to move from x=A to x=0?"
I think we have to use this equation
x(t)=Acos ([sqr root k/m] time)
im having trouble rearranging the equation and Im not sure if this is right:
t= arccos (x/A) / sq root k/m
My amplitude is 0.7
K= 90 N/m
m= 5 kg
max speed = 3 m/s
The answer is 0.37 seconds.
Please help!
I think we have to use this equation
x(t)=Acos ([sqr root k/m] time)
im having trouble rearranging the equation and Im not sure if this is right:
t= arccos (x/A) / sq root k/m
My amplitude is 0.7
K= 90 N/m
m= 5 kg
max speed = 3 m/s
The answer is 0.37 seconds.
Please help!
-
What you did so far is fine. Now just evaluate the arccos(x/A) at the two given positions;
when x=A, arccos(1) = 0
when x=0, arccos(0) = pi/2
So
tf - ti = (1/Sqrtk/m)(pi/2) - (1/Sqrtk/m)(0) = pi/2Sqrt(k/m)
when x=A, arccos(1) = 0
when x=0, arccos(0) = pi/2
So
tf - ti = (1/Sqrtk/m)(pi/2) - (1/Sqrtk/m)(0) = pi/2Sqrt(k/m)