In 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 ladderand 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?FrictionlessSystemFire-Fire-/fighterfightercomLadderLaddercoma/3a/2-

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Answered: In the figure, a ladder of length L =…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 1STP

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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 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 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.…
A 10.0-kg monkey climbs a uniform ladder with weight w = 1.09 x 10 N and length L = 3.40 m as shown in the figure below. The ladder rests against the wall at an angle of 6 = 60°. The upper and lower ends of the ladder rest on frictionless surfaces, with the lower end fastened to the wall by a horizontal rope that is frayed and that can support a maximum tension of only 80.0 N. Rope (a) Draw a force diagram for the ladder. (Submit a file with a maximum size of 1 MB.) (b) Find the normal force exerted on the bottom of the ladder. N (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 that the monkey can climb up the ladder before the rope breaks. m (e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem be changed and what other information would you need to answer Parts (c) and (d)?
A 2.4 m ladder rests on a vertical wall as shown in the figure. The ladder has 7 rungs and the rungs are spaced 0.30 m apart, and the top and bottom rungs are 0.30 m from their respective ends of the ladder. Surfaces at A and B both have the same coefficient of friction. If a worker weighs 360 N and stands on the middle rung, determine the minimum value of the coefficient of friction so that the ladder does not slide. Neglect the weight of the ladder.
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.
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?
Auniform ladder is 16 m long and weighs 180 N. In the figure, the ladder leans against a vertical, frictionless wall at height h = 10 m above the ground. A horizontal force F is applied to the ladder at distance d = 2.2 m from its base (measured along the ladder). If force magnitude F = 40 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F= 130 N, what are (c)x-, (d)y- components of the force of the ground on the ladder? (e) Suppose the coefficient of static friction between the ladder and the ground is 0.30; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall? (a) Number 39 Units ° (degrees) (b) Number 180 Units (c) Number 39 Units 10 Nu with (d) Number 35.55 Units Que Num with (e) Number i 38 Units Ques Numer MacBook Pro Q @ 23 2$ & 2 3 4 5 7 W E Y S F G H J L C V N M * 00 DI
After an unfortunate accident occurred at a local warehouse, you were contracted to determine the cause. A jib crane collapsed and injured a worker. An image of this type of crane is shown in the figure.The horizontal steel beam had a mass of h 81.70 kg per meter of length, and the tension in the cable was T = 11520 N. The crane was rated for a maximum load of 500 kg. If d = 6.160 m, s = 0.486 m, x = 1.450 m, and h = 2.160 m, what was the magnitude of Wt (the load on the crane) before the collapse? The acceleration due to gravity xr is g = 9.810 m/s². W WL = N What was the magnitude of force Fp at the attachment point P? Fp =
A 5.0-m long, 12-kg uniform ladder rests against a smooth vertical wall with the bottom of the ladder 3.0 m from the wall. The coefficient of static friction between the floor and the ladder is 0.28. What distance, measured along the ladder from the bottom, can a 60-kg person climb before the ladder starts to slip?
A 10.0-kg monkey climbs a uniform ladder with weight 1.20 × 102 N andlength L = 3.00 m as shown. The ladder rests against the wall and makes an angle of θ = 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. (a) Draw a force diagram for the ladder. (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. (d) Find the maximum distance d 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)?
The figure shows a uniform ladder L = 3.6 m long with mass M = 18 kg leaning against a frictionless wall. The ladder's base is D = 1.5 m from the wall when a grinning oddball with mass m = 62 kg steps on and slowly climbs the ladder. When the oddball reaches a distance d = 2 m from the ladder's base, the ladder starts to slip. Calculate the coefficient of static friction between the ladder and the floor. Mg = ps d L m -D M

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