1.Determine the moment about the origin O of the force F = 4i - 3j + 5k that acts at a point A. Assume that the position vector of A is (a) r = 3i - 6j + 5k, (b) r = i - 4j - 2k, (c) r = -8i + 6j -8k
2.If arm OA rotates with a constant clockwise angular velocity of theta dot(first dirivatie)=1.5 rad/s. determine the force arm OA exerts on the smooth 4-lb cylinder B when theta=45 degrees.
3.If you invest $150,000,000 today at 5% interest, how long will you be able to receive a yearly annuity of $85,000?