A stool at a restaurant is anchored to the floor. When a customer is in the proc

Question

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 190 lb. ft, what is the maximum height di that the stool can have if the magnitudes of the two forces are F1 40.0 lb and F2 115 lb? Assume that moments acting counterclockwise about point A are positive whereas moments acting clockwise about A are negative

Explanation / Answer

The formula for momentum is

momentum = Force ( displacement)

momntum about point A is

M_A = F2 (0) + F1 (d1)

190 lb ft = F1 d1

d1 = 190lb ft/40 lb

=4.75 ft

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