- #1
NP04
- 23
- 1
- Homework Statement
- See Image. Parts C and D
- Relevant Equations
- Part C.
v = λf
Harmonic numbers for springs
Part D.
x = Acos(ωt). ??? Not really sure what formula to use.
Part C.
First of all, I am not entirely sure what the problem means by "loops." (I see the loops, duh ;)) but I am not sure what quantity they represent. I am guessing it means harmonics, in which case M would have to be lessened to make a greater wavelength. This is because the extension of the string would be lessened as it is less taut. In the relation L = 1/2λ+nλ/2 (4th harmonic for strings), we see that the dividend is
Is this the correct way of thinking about this part?
Part D.
x = Acos(ωt) = Acos(2πf)
4 = Acos((2π)((2π/3)) converted 120 degrees to radians
4 = A(1)
A = 4
The solution says it is 1. I can't think of any alternative to solve this.
Thanks in advance.
First of all, I am not entirely sure what the problem means by "loops." (I see the loops, duh ;)) but I am not sure what quantity they represent. I am guessing it means harmonics, in which case M would have to be lessened to make a greater wavelength. This is because the extension of the string would be lessened as it is less taut. In the relation L = 1/2λ+nλ/2 (4th harmonic for strings), we see that the dividend is
Is this the correct way of thinking about this part?
Part D.
x = Acos(ωt) = Acos(2πf)
4 = Acos((2π)((2π/3)) converted 120 degrees to radians
4 = A(1)
A = 4
The solution says it is 1. I can't think of any alternative to solve this.
Thanks in advance.