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: 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 - 115lb. ft, what is the maximum height d1 that the stool can have if the magnitudes of the two forces are F1 = 45.0lb and F2 = 155lb ? Assume that moments acting counterclockwise about point A are positive whereas moments acting clockwise about A are negative. Express your answer numerically in feet to three significant figures.

Explanation / Answer

Ma = F1*d1 d1 = Ma/F1 = 115/45 = 2.556 ft (There will be no moment about A due to F2 as its line of action passes through A.)

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