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**1**.

**Homework Statement**

The wire cable supporting the mast of a sailboat has a length of 12 m and a linear mass density of 350 g/m. When pushed sideways at its midpoint with a force of 160 N, the cable deflects by 9.5 cm. What is the frequency of the fundamental mode of vibrations on this cable?

## Homework Equations

λn.fn=v and velocity:v=sqrt(T/μ) , lemda λn=2L/n and L= length of string

fn=n/2L . sqrt(T/μ)

fundamental≡ the first mode ⇒ n=1

## The Attempt at a Solution

for n=1

f=1/(2*12) .sqrt (160/0.35) =0.89 Hz

but it is incorrect why??