In: Physics
A uniform ladder is 16 m long and weighs 240 N. In the figure, the ladder leans against a vertical, frictionless wall at height h = 7.0 m above the ground. A horizontal force F→ is applied to the ladder at distance d = 2.8 m from its base (measured along the ladder). If force magnitude F = 46 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F = 140 N, what are (c)x-, (d)y-components of the force of the ground on the ladder? (e) Suppose the coefficient of static friction between the ladder and the ground is 0.34; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall?
Summing forces in the vertical directions to zero shows us that the normal force of the floor on the ladder must equal the weight of the ladder or 240 N.
finally F = 316.25N + 81.6N = 397.8 N