university physics professor buys 140m of string and determines its total mass t

Question

university physics professor buys 140m of string and determines its total mass to be 0.200kg . This string is used to set up a standing wave laboratory demonstration between two posts 3.0 m apart.

Part A

If the desired second harmonic frequency is 35 Hz, what should be the required string tension?

Express your answer using two significant figures.

university physics professor buys 140m of string and determines its total mass to be 0.200kg . This string is used to set up a standing wave laboratory demonstration between two posts 3.0 m apart.

Part A

If the desired second harmonic frequency is 35 Hz, what should be the required string tension?

Express your answer using two significant figures.

Explanation / Answer

string lenght l=140m

mass of the string m=0.2kg

2nd harmonic(or first over tone) frequency f2=2*f0=35 Hz

and L=3m

now,

f2=2*(1/2L)*sqrt(T/u))

35=(1/3)*sqrt(T/u)

====>

T=(105)^2*u

=(105)^2*(m/l)

=105^2*(0.2/140)

tension T=15.75 N

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