To understand the concept of moment of a force and how to calculate it using a scalar formulation. the magnitude of the moment of a force with a magnitude f around a point o is defined as follows: mo=fd where d is the force's moment arm. the moment arm is the perpendicular distance from the axis at point o to the force's line of action. a stool at a restaurant is anchored to the floor. when a customer is in the process of sitting down, a horizontal force with magnitude f1 is exerted at the top of the stool support as shown in the figure. (figure 1) when the customer is seated, a vertical force with magnitude f2 is exerted on the stool support. if the maximum moment magnitude that the stool support can sustain about point a is ma = 185lb? ft , what is the maximum height d1 that the stool can have if the magnitudes of the two forces are f1 = 70.0lb and f2 = 135lb ? assume that moments acting counterclockwise about point aare positive whereas moments acting clockwise about a are negative. a) as shown, a pipe is anchored to a wall at point a. (figure 2) during the pipe's installation, several forces are applied to the pipe at different locations. if f1 = 14.9lb , f2 = 19.4lb , f3 = 17.9lb , f4 = 12.1lb , d1 = 0.350ft , d2 = 0.700ft , and d3 = 0.500ft , what is mra, the net moment about point adue to these forces? assume that moments acting counterclockwise about point a are positive whereas moments acting clockwise are negative.