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A passenger on a large ship sailing in a...

A passenger on a large ship sailing in a quiet sea hangs a ball from the ceiling of her cabin by means of a long thread. Whenever the ship accelerates , she notes that the pendulum ball lags behind the point of suspension and so the pendulum no longer hangs vertically. How large is the ship's acceleration when teh pendulum stands at an angle of `5^(@)` to teh vertical?

Text Solution

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The ball is accelerated by the force T sin `5^(@).` Therefore T `sin5^(@)` = ma.
Vertical component `sumF=0,soT co5^(@)=mg.` By solving a = g `tan 5^(@)` = 0.0875 g = 0.86 `ms^(-2).`
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