An experimental device imparts a force of magnitude f = 37 lb to the front edge of the rim at a to simulate the effect of a slam dunk. compute the moment of the force f about point o and about point b. the moments are positive if counterclockwise, negative if clockwise. finally, locate a point c from the base at o to the location on the ground where the force imparts zero moment. the distance d from point o to point c is positive if c is to the right of o, and negative if to the left.

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".