A flower basket is hung from the end of a uniform horizontal pole which projects from a wall, as shown. The pole is supported by a cable attached to a higher point on the wall:
The pole has a mass of 10.0 kg; the flower basket has a mass of 14.0 kg.
a By taking moments about the right hand end of the pole, determine the value of the
tension in the cable T. [5]
b The wall exerts a force R on the pole. Deduce the horizontal component of R.

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".