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Engineering, 29.01.2021 17:20 KRLoopy4722

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. 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 = 160 Nm , what is the maximum height d1 that the stool can have if the magnitudes of the two forces are F1 = 300 N and F2 = 720 N . Assume that moments acting counterclockwise about point A are positive whereas moments acting clockwise about A are negative.

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