ladder of length L = 2.4 m and mass m = 14 kg rests on a floor with coefficient of static friction μs = 0.55. Assume the wall is frictionless. 1) What is the minimum angle the ladder must make with the floor to not slip? 2) A person with mass M = 61 kg now stands at the very top of the ladder. What is the minimum angle to keep the ladder from sliding?

A uniform 50-kg scaffold of length 7.0 m is supported by two light cables, as shown below. A 61-kg painter stands 1.0 m from the left end of the scaffold, and his paint bucket is 1.5 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables and the mass of the bucket.   m bucket =       kg T (left) =             N T (right) =             N

A traffic light hangs from a pole as shown. The uniform aluminum pole AB is 7.50 m long and has a mass of 12.0 kg. The mass of the traffic light is 21.5 kg. Determine A) the tension in the horizontal massless cable CD, and B) the magnitude of the force exerted by the pivot on the aluminum pole at point A. B C D 37° 3.80 m A 000

A 14.0 m uniform ladder weighing 520 N rests against a frictionless wall. The ladder makes a 65.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.80 m along the ladder from the bottom. horizontal force magnitude direction N towards the wall vertical force magnitude direction up 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? (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? m

A uniform ladder 10.o m long weighing 50.0 N rests against a smooth wall (no frictional force between ladder and wall). If the coefficient of static friction is .360 and makes a 60 degree angle with respect to the horizontal, what is the frictional force and how far along the ladder can a 70.0 kg painter climb before ladder begins to slip?

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A straight rigid ladder of length 3.00 m leans against a frictionless vertical wall. The laddermakes an angle of 60.0° with respect to the horizontal floor. What is the minimum value of thecoefficient of static friction between the ladder and the floor that prevents the ladder from slipping?

Problem: A 80 kg construction worker is sitting 2.0 m from the right end of a 1450 kg, 6.0 m long beam. What is the tension in the cable attached at an angle of 30 deg. from the beam? (A) Pictorial Representation (B) Physical Representation

A ladder of length 12.0 m with a mass of 40.0 kg leans against a smooth wall. The ladder makes a 35.0o angle with the horizontal. Draw an adequate free body diagram of the ladder and determine the minimum coefficient of static friction between the ladder and the ground necessary to prevent the ladder from slipping.

A uniform ladder 5.0 m long rests against a frictionless, vertical wall with its lower end 3.0 m from the wall. The ladder weighs 160 N. The coefficient of static friction between the foot of the ladder and the ground is 0.40. A man weighing 740 N climbs slowly up the ladder. (a) What is the maximum friction force, in Newtons, that the ground can exert on the ladder at its lower end? (b) What is the actual friction force, in Newtons, when the man has climbed 1.0 m along the ladder? (c) How far, in meters, along the ladder can the man climb before the ladder starts to slip?