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A vertical spring on which is hung a block of mass m1 oscillates with frequency f....

A vertical spring on which is hung a block of mass m1 oscillates with frequency f. With an additional block of mass m2?m1 added to the spring, the frequency is f/7. What is the ratio m2/m1?

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Answer #1

Let k be the spring force constant,

case 1 :

When mass m1 is oscillating,

then frequency, f =  

when mass m2 is also added, then total mass mt = m1 + m2

so, frequency in this case, ft =  

According to question, ft = f/7

só,

m1 + m2 = 49 * m1

m2 = 48 * m1

só,

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