ToughSTEM
Sign Up
Log In
ToughSTEM
A question answer community on a mission
to share Solutions for all STEM major Problems.
Cant find a problem on ToughSTEM?
0
A wave travels along a string of linear mass density ? = 0.03kg/m described by the wave function
y(x,t) = 0.27 cos(4.5x?30t +?/12)

Calculate the net force on the section of the string that is 0.005m long, and whose center is 0.025m from the left-end of the string, after the wave has been traveling on the string for 0.07s
Edit
Added Mon, 20 Jul '15
Community
1
Comment
Add a Comment
Solutions
0

y(x,t) = 0.27cos(4.5x-30t+?/12)

dy/dt(Partial Derivative) = 0.27*(-30)*(-sin(4.5x-30t+?/12))

d2y/dt2 (Partial) = -0.27*900*cos(4.5x-30t+?/12)

Putting x=0.025m, t=0.07s

acceleration = d2y/dt2 = -37.491

Mass of element = ?*l = 0.03*0.005 = 0.00015

Therefore, Force = Mass x Acceleration = -5.624*10-3 N
Edit
Added Mon, 20 Jul '15
Community
1
Comment
Add a Comment
Add Your Solution!
Close

Click here to
Choose An Image
or
Get image from URL
GO
Close
Back
Add Image
Close
What URL would you like to link?
GO
α
β
γ
δ
ϵ
ε
η
ϑ
λ
μ
π
ρ
σ
τ
φ
ψ
ω
Γ
Δ
Θ
Λ
Π
Σ
Φ
Ω
Copied to Clipboard

Add Your Solution
Sign Up
to interact with the community. (That's part of how we ensure only good content gets on ToughSTEM)
OR
OR
ToughSTEM is completely free, and its staying that way. Students pay way too much already.
Almost done!
Please check your email to finish creating your account!
Welcome to the Club!
Choose a new Display Name
Only letters, numbers, spaces, dashes, and underscores, are allowed. Can not be blank.
Great! You're all set, .
A question answer community on a mission
to share Solutions for all STEM major Problems.
Why
The Purpose
How
The Community
Give Feedback
Tell us suggestions, ideas, and any bugs you find. Help make ToughSTEM even better.