'A portable basketball set has a base and a post arrangement. The post arrangement consists of a post, backboard, hoop and net. The base can be filled with water to increase stability. The maximum weight of the base is about 810 N and the weight of the post arrangement is 26.0 N. The basketball set may topple over when the wind blows due to the large area of the backboard.
a) Determine the minimum force of the wind, Fw that will cause the basketball set to be blown over when it is at the angle shown. Ignore the effect of the wind on the base.
b) The base is filled with sand instead of water. The density of the sand is greater than the density of the water. Justify what would happen to the value of Fw calculated in part (a).
backboard
Force of the wind, Fw
0.35 m
2.00 m
Weight of post arrangement
159
0.25 m'