A uniform ladder is tilted against a smooth wall at an angle 60⁰ with the horizontal. The mass of the ladder is 35 kg, and its length is 9.0 m. A man of mass 75 kg is on the ladder at 2.0 m from the lower end while another man of mass 60 kg is on the ladder at 7.0 m. Calculate the friction force needed to prevent slipping.

A beam resting on two pivots has a length of L = 6.00 m and mass M = 79.0 kg. The pivot under the left end exerts a normal force n, on the beam, and the second pivot placed a distance l = 4.00 m from the left end exerts a normal force n,. A woman of mass m = 59.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Where is the woman when the normal force n, is the greatest? X = (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n, when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium…

A uniform ladder whose length is 6.0 m and whose weight is 43O N leans against a frictionless vertical wall. The coefficient of static friction between the level ground and the foot of the ladder is 0.42. What is the greatest distance the foot of the ladder can be placed from the base of the wall without the ladder immediately slipping?

(a) When opening a door, you push on it perpendicularly with a force of 44.0 N at a distance of 0.780 m from the hinges. What torque (in N-m) are you exerting relative to the hinges? (Enter the magnitude.) N-m (b) Does it matter if you push at the same height as the hinges? O Yes O No

The angle between the beam and the floor is 15.0 degrees. The angle between the rope and the horizontal is 31.0 degrees. The beam is 4.10-m long and has a mass of 6.10 kg. The box sits a distance of d = 0.770 m from the upper end of the beam and has a mass of 9.60 kg.What is the torque due only to the weight of the box if the axis is at the hinge?

A 45.1 kg man is walking on a 147 kg uniform beam that is attached 19.0 m below the top of a building and is 21.2 m long.  If a wire is attached to both the top of the building and end of the beam, and is able to handle 1.52E3 N of tension, how close to the end can the man walk before the wire breaks?

A stick which is 1.51 meters long is leaned against a wall at an angle. If the coefficient of static friction between the stick and the wall and floor is 0.395, determine the furthest distance from the wall that the bottom of the stick may be placed without slipping.