# Rachmaninov's lament

Some instrumentalists have their own instruments that they take on tour - think of the violinists with a Stradivarius. For those with larger instruments, it's not so easy. For example, what's the minimum amount of force in Newtons need to push a $$500~\mbox{kg}$$ concert grand piano up a ramp angled $$30^\circ$$ with respect to the horizontal?

Details and assumptions

• The acceleration of gravity is $$-9.8~\mbox{m/s}^2$$.
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