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Adel A
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[Mentor's note: Thread title changed to reflect question content]
I really need some help with this one:
1. Homework Statement
An unhappy rodent of mass 0.307kg , moving on the end of a spring with force constant 2.48N/m , is acted on by a damping force Fx=−b⋅vx.
Part A
If the constant b has the value 0.894kg/s , what is the frequency of oscillation of the mouse?
Part B
For what value of the constant b will the motion be critically damped?
F = -kx
F = mg
f = 1/T = ω/2π
Part A:
Fx = -bvx = -0.894⋅vx
-kx = F => m⋅a = -k⋅x, and I put the numbers in and got:
0.307⋅9.81 = -2.48⋅x => x = -1.214 m
ω = sqrt(k/m), and I put the numbers in and got: ω = 0.452 rad/s
Then I tried to calculate vx by:
vx⋅(-0.894)=3.0117 => vx = -3.369 m/s
I don't know what to do. Thankful for all help I can get!
I really need some help with this one:
1. Homework Statement
An unhappy rodent of mass 0.307kg , moving on the end of a spring with force constant 2.48N/m , is acted on by a damping force Fx=−b⋅vx.
Part A
If the constant b has the value 0.894kg/s , what is the frequency of oscillation of the mouse?
Part B
For what value of the constant b will the motion be critically damped?
Homework Equations
F = -kx
F = mg
f = 1/T = ω/2π
The Attempt at a Solution
Part A:
Fx = -bvx = -0.894⋅vx
-kx = F => m⋅a = -k⋅x, and I put the numbers in and got:
0.307⋅9.81 = -2.48⋅x => x = -1.214 m
ω = sqrt(k/m), and I put the numbers in and got: ω = 0.452 rad/s
Then I tried to calculate vx by:
vx⋅(-0.894)=3.0117 => vx = -3.369 m/s
I don't know what to do. Thankful for all help I can get!
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