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
= 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).