Ive recently started studying and ive been having some trouble with two problems in my A-Math class. If anyone knows the answer or could give me some tips on how to solve it I would greatly appreciate it.

1. A ball rolls under gravity inside a smooth bowl with circular cross

section and inner radius

a. Show that the ball can roll in a horizontal

circle at a height

h above the bottom of the bowl provided

v^2

= gh(2a − h/a − h).

2. A force

F =ˆi −ˆj + ˆk acts at the point (1, 3,−2).

(a) Find the moment of F about the origin.

(b) Find the moment of F about the point at (0, 1,−1).

Thanks

Totster.