High School

For this case of beam bending, what is the reaction moment at the wall if [tex]F = 0.7 \, \text{N}[/tex] and [tex]d = 57 \, \text{m}[/tex] in units of ft.lb?

Answer :

Final answer:

To calculate the reaction moment at the wall due to a 0.7 N force applied at a distance of 57 m, after converting the units appropriately, the moment is found to be approximately 29.44 ft. lb.

Explanation:

To calculate the reaction moment at the wall for a beam bending scenario, we consider the force applied (F) and the distance from the point of application of this force to the wall (d). Given F = 0.7 N and d = 57 m, and asked for the moment in units of ft. lb, we first conduct a unit conversion for the distance from meters to feet (1 meter = 3.28084 feet). Therefore, 57 m converts to 187.00748 ft. The moment of a force (in ft. lb) can be found by multiplying the force in pounds by the distance in feet. Since 1 N equals 0.224809 lb, F converts to 0.1573663 lb. Thus, the moment, M, at the wall is M = F * d = 0.1573663 lb * 187.00748 ft = 29.4368306 ft. lb.