Please include FBD using n$-$t coordinate system and explain each step including key equations. Thank you!

Example $13\mathrm{.}6$

Determine the banking angle $$ for the race track so that the

wheels of the racing cars shown will not have to depend

upon friction to prevent any car from sliding up or down the

track. Assume the cars have negligible size, a mass $m,$ and

travel around the curve of radius $$ with a constant speed $v.$