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- A crane of mass m1 = 3 000 kg supports a load of mass m2 = 10 000 kg as shown in Figure P10.36. The crane is pivoted with a frictionless pin at A and rests against a smooth support at B. Find the reaction forces at (a) point A and (b) point B. Figure P10.36A ladder whose length is 10 m and whose mass is 40 kg rests against a frictionless vertical wall. Its upper end is a distance of 7.7m above the ground. The center of mass of the ladder is 1/3 of the way up the ladder. The coefficient of static friction between the ladder and the ground is 0.53. If a carpenter climbs 85% of the way up the ladder before it starts to slip, find the mass of the carpenter.A 30 ft ladder, weighing 100 lbs having its center of mass one-third of the way up from the bottom, rests against a smooth wall so that it makes an angle of 60° with the ground. If the coefficient of friction between the ground and the ladder is 0.4, how high can a 150-lb man go before the ladder slips?
- A ladder, whose length 10 m and whose mass is 40 kg rest against a frictionless vertical wall. Its upperend is a distance of 7.7 m above the ground. The center of mass of the ladder is 1/3 of the way up the ladder. The coefficient of static friction between the ladder and the ground is 0.53. If a carpenter climbs 85% of the way up the ladder before it starts to slip, find the mass of the carpenter.To get up on the roof, a person (mass 87.0 kg) places a 5.60 m aluminum ladder (mass 14.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes (in N) of the forces on the ladder at the top and bottom? top N bottom NIn the figure, a ladder of length L = 11 m and mass m = 48 kg leans against a slick (frictionless) wall. The ladder's upper end is at height h = 8.3 m above the pavement on which the lower end rests (the pavement is not frictionless). The ladder's center of mass is L/3 from the lower end. A firefighter of mass M = 71 kg climbs the ladder. Let the coefficient of static friction us between the ladder and the pavement be 0.46. How far (in percent) up the ladder must the firefighter go to put the ladder on the verge of sliding? Frictionless System Fire- Fire-/ fighter fighter com Ladder Ladder com a/3 a/2-
- A uniform 5.0 m long 25 kg plank is to hold two people washing windows on a downtown skyscraper. The plank is supported by a rope at each end, and each of the ropes has a breaking point of 1200 N (the maximum tension allowed before the rope breaks). If the mass of the window washer that is standing 1.0 m from the right end of the plank is 85 kg and the second window washer with a mass of 75 kg stands 2.0 m from the left end of the plank, then what are the magnitudes of the tensions in each rope? Do either of the ropes break? Include a force or free-body diagram of the situation.A 5.2-m ladder rests against a wall as shown. The ladder has a mass of 27.6 kg. A 56.3-kg person stands on the ladder at a distance of 3.6 m from the bottom of the ladder. The foot of the ladder is 1.9 m from the bottom of the wall. Assume there is no friction between the ladder and the wall so that the force of the wall on the ladder is acting only in the horizontal direction. However, there is a friction force between the ladder and the ground. 1.) What is the force, in N, exerted by the wall on the ladder?In the figure, a ladder of length L = 11 m and mass m = 49 kg leans against a slick (frictionless) wall. The ladder's upper end is at height h = 8.1 m above the pavement on which the lower end rests (the pavement is not frictionless). The ladder's center of mass is L/3 from the lower end. A firefighter of mass M = 69 kg climbs the ladder. Let the coefficient of static friction μs between the ladder and the pavement be 0.51. How far (in percent) up the ladder must the firefighter go to put the ladder on the verge of sliding? Frictionless με System F y L Fire- fighter Fire- fighter 1 F Py com Ladder com Mgy mg Ladder Number Units a/3 a/2 0
- A 4.8 m ladder rests against a wall as shown. The ladder has a mass of 26.4 kg. A 57.6 kg person stands on the ladder at a distance of 3.5 m from the bottom of the ladder. The foot of the ladder is 1.9 m from the bottom of the wall. Assume there is no friction between the ladder and the wall so that the force of the wall on the ladder is acting only in the horizontal direction. However, there is a friction force between the ladder and the ground. (a) What is the force, in N, exerted by the wall on the ladder? (b) What is the normal force, in N, exerted by the floor on the ladder? (c) What is the friction force, in N, between the ladder and the ground?To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. Find the normal reaction and friction forces on the ladder at its base.A 11.0-kg monkey climbs a uniform ladder with weight w = 1.40 × 102 N and length L = 2.60 m as shown in the figure below. The ladder rests against the wall and makes an angle of 0 = 60.0° with the ground. The upper and lower ends of the ladder rest on frictionless surfaces. The lower end is connected to the wall by a horizontal rope that is frayed and can support a maximum tension of only 80.0 N. Rope (a) Draw a force diagram for the ladder. Choose File no file selected This answer has not been graded yet. (b) Find the normal force exerted on the bottom of the ladder. (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. N (d) Find the maximum distance d (along the ladder) that the monkey can climb up the ladder before the rope breaks. (e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem change? What other information would you need to answer parts (c) and (d)? This answer has not been graded yet.…