A passenger on a large ship sailing in a quiet sea hangs a ball from the celling of her cabin by means of a long thread. Whenever the ship acceleration when the pendulum stands at an angle of `5^(@)` to the vertical ?

Explanation

The ball is accelerated by the force `T sin5^(@)`
Therefore `T sin5^(@)=ma`
Vertical component `sumF=0,` so `T cos5^(@)=mg`
By solving `a=g tan 5^(@)=0.0875g`
`=0.86ms^(-2)`