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Answer to Question #3850 in Mechanics | Relativity for mia

Question #3850
A 50 g mass attached to a spring, the spring constant of which is 0.49 N/m, oscillates. What
should be the length of a mathematical pendulum for its frequency to equal that of a spring
pendulum?

Expert's answer
Tspring=2*pi*sqrt(m/k)
Tmath=2*pi*sqrt(l/g)
T1=T2 <=>
m/k=l/g<=>l=m*g/k=0.05*9.8/0.49=1m

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