m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.00-angle (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 820-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 284.46 X N direction towards the wall vertical force magnitude 1310 direction up with the angle with the horizontal. ✔ ✔ N (b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? 425 x (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips? 2.61

A bridge of length 50.0 m and mass 8.10 x 104 kg is supported on a smooth pier at each end as shown in the figure below. A truck of mass 2.80 x 104 kg is located 15.0 m from one end. What are the forces on the bridge at the points of support? 15.0 m 50.0 m normal force at point A N normal force at point B

6. A uniform ladder 10.0 m long is leaning against a frictionless wall at an angle of 60.0° above the horizontal. The weight of the ladder is 50.0 N. A 150.0 N boy climbs 4.00 m up the ladder. What is the magnitude of the frictional force exerted on the ladder by the floor?

You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F_AL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,θ,ϕ. Then use the following values to get a number for the magnitude of F_AL.   θ = 30.3 degrees ϕ = 23.028 degrees x = 1.491 meters L = 7.1 meters m_Y = 86.0 kg m_L = 42.14 kg Find the magnitudes of: F_AL, normal force of the wall on the ladder (N_WL), and normal force of the floor on the ladder (N_FL).