Mass added to a spring to increase period of oscillation

  • Thread starter jomha
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  • #1
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Homework Statement



7. Mass m is oscillating on the end of a spring. How much mass must be added in order for the
period of oscillation to increase by a factor of two?
A.m
B.2m
C.3m
D.4m
E.8m

Homework Equations



f=-kx
w= [tex]\sqrt{k/m}[/tex]
T = 2[tex]\pi[/tex][tex]\sqrt{m/k}[/tex]

The Attempt at a Solution



since period (T) is proportional to the square root of m and we want 2t, i had 2T=[tex]\sqrt{m}[/tex] so 2^2 =4

the given answer is 3 and i dont know how this was chosen
 

Answers and Replies

  • #2
Doc Al
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You found the factor by which the total mass has to increase. But what do they ask for?
 
  • #3
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yeah that makes sense haha 4xm =4m - m that i started with is 3m
thanks a lot it was blowing my mind
 

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