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$19\mathrm{.}9.$E$.$ A person of mass $m=65kg$ rides a motorcycle at a constant speed of $v=14\frac{m}{s}$ inside a spherical caged track of radius $r=15m.$

a$.$ Vectors that point radially inward have what sign for their radial component? What if they point radially outward?

b$.$ Compute the apparent weight of the rider $($i$.$e$.,$ the magnitude of the normal force on the person due to the motorcycle seat$)$ at point $P$ where the central angle measures $49.$ As part of your work draw a force diagram on the rider. ANS: $369$

HELP: I've resolved the weight vector below.

c$.$ At what central angle $$ would the rider have an apparent weight that is half his regular weight? ANS: ${56\mathrm{.}4}^0$