Question

A vertical spring on which is hung a block of mass *m*1
oscillates with frequency *f*. With an additional block of
mass *m*2?*m*1 added to the spring, the frequency is
*f*/7. What is the ratio *m*2/*m*1?

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 m_{t} = m1 +
m2

so, frequency in this case, f_{t} =

According to question, f_{t} = f/7

só,

m1 + m2 = 49 * m1

m2 = 48 * m1

só,

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