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?
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
m1 + m2 = 49 * m1
m2 = 48 * m1
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