To understand the concept of moment of a force and how to calculate it using a s

Question

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.

Explanation / Answer

while seating the maximum moment about A will be 185 lb ft

so the Moment = force * distance

185 = F1* D1

D1 = 185/70 = 2.6428 ft

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