The ladder and the person weigh 30N and 180N, respectively. The center of mass of the 12-m ladder is at its midpoint. The angle α=30°. Assume that the wall exerts a negligible friction force on the ladder. (a) If x=4m, what is the magnitude of the friction force exerted on the ladder by the floor? (b) What minimum coefficient of static friction between the ladder and the floor is necessary for the person to be able to climb to the top of the ladder without slipping?

The ladder and the person weigh 30N and 180N, respectively. The center of mass of the 12-m ladder is at its midpoint. The angle α=30°. Assume that the wall exerts a negligible friction force on the ladder. (a) If x=4m, what is the magnitude of the friction force exerted on the ladder by the floor? (b) What minimum coefficient of static friction between the ladder and the floor is necessary for the person to be able to climb to the top of the ladder without slipping?

Similar questions

A uniform ladder weighing 490 N rests against a frictioniess wall. The ladder has a length L = 14.0 m and makes a 59.0° angle with the horizontal ground. An 820 N firefighter has climbed d = 4.20 m along the ladder from the bottom. Find the coefficient of static friction Hs between the ladder and the ground. O 0.863 O 0.225 O 0.119 O 0.332 O 0.567
I need help with this question
A ladder leans against a wall 5 meters above the ground so a homeowner can clear his gutters of leaves from last fall. The bottom of the ladder just begins to slip when it is 1.7 meters from the wall. What is the coefficient of static friction between the bottom of the ladder and the ground?
A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M1 = 10 kg which is uniformly distributed throughout its length L = 7.1 m. The ladder is propped up at an angle theta = 49o. The coefficient of static friction between the ground and the ladder is mus = 0.49, and the wall against which the ladder is resting is frictionless. Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 5.5 m up the ladder. If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?
A scaffold of mass 71 kg and length 4.8 mis supported in a horizontal position by a vertical cable at each end. A window washer of mass 64 Kg stands at a point 2.4 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number Units
A scaffold of mass 79 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 84 kg stands at a point 1.1 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number i Units (b) Number i Units
Problem 6: A uniform stationary ladder of length L and mass M leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is u. The ladder makes an angle with respect to the floor. A painter of weight 1/2M stands on the ladder a distance d from its base. What is the largest value for d, in centimeters, such that the ladder will not slip? Assume that ladder is 5.5 m long, the coefficient of friction is 0.51, the ladder is at an angle of 48°, and the ladder has a mass of 75 kg. dmax = sin() cos() tan() JT ( 7 8 9 HOME
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.
A fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal. Write an expression for the tension in any one of the three fence wires. What is the normal force that the ground exerts upward on the post?
A 2.99 m long ladder that has a mass of 5.84 kg leans against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.589. What is the maximum angle that the ladder can make with the floor without slipping if a 87.6 kg person stands half-way up the ladder? θ = °
A ladder rests against a frictionless wall. It has a mass of 40 kg, a length of 6.4 m, and makes an angle of 56° with the ground. Find the horizontal and vertical force components exerted by the ground on the bottom of the ladder if a standard man stands on the ladder 4 m from the ground. (Assume the mass of the standard man is 70 kg. Enter the magnitudes in newtons.)