- #1

mrcotton

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## Homework Statement

A mass spring system carries a mass of 0.4kg. When the point of suspension is made to vibrate verticaly at a frequency of 15Hz resonance occurs. What mass should be added to the 0.4kg in order to reduce the resonant frequency to 10Hz.

a) 0.20kg

b) 0.40kg

c) 0.50kg

d) 0.60kg

## Homework Equations

T=2∏√(m/k)

15=2∏√(0.4/k)

## The Attempt at a Solution

15=2∏√(0.4/k)

10=2∏√(0.4+x/k)

Do I rearrange these so I have all the constants on the rhs then equate the lhs and solve for x if that makes sense?

Any help appreciated