Q.1 A hanging wire has a length of 1.90 m . When a steel ball of mass 63.0 k g i

Question

Q.1

A hanging wire has a length of 1.90m . When a steel ball of mass 63.0kgis suspended from the wire, the wire stretches by 1.90mm .

-If the ball is pulled down a small additional distance and released, at what frequency will it vibrate? Assume that the stress on the wire is less than the proportional limit.

Q.2

When a 0.900kg mass oscillates on an ideal spring, the frequency is 1.48Hz .

1-What will the frequency be if 0.240

kg are subtracted from the original mass? Try to solve this problemwithout finding the force constant of the spring.

f=______________Hz

Explanation / Answer

Q1

k = m*g/x = 3.25*10^5 N/m

f = (1/2*pi) *sqrt(k/m) = 11.44 Hz
Q2

1) f = (1/2*pi) *sqrt(k/m)

   ===> f1/f2 = sqrt(m1+m2/m1)

=====> f2 = f1*sqrt(m1 / m1+m2) = 1.32 Hz

2)f2 = f1*sqrt(m1 / m1-m2) =1.73 Hz

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