In the figure, a ladder of length L = 14 m and mass m = 45 kg leans against a slick (frictionless) wall. The ladder's upper end is at height h = 10 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-72 kg climbs the ladder. Let the coefficient of static friction μ, 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 Number i Units System. Fire- fighter com Fire- fighter F Ladder com Mg -Ladder a/3 x

In the figure, a ladder of length L = 14 m and mass m = 45 kg leans against a slick (frictionless) wall. The ladder's upper end is at height h = 10 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-72 kg climbs the ladder. Let the coefficient of static friction μ, 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 Number i Units System. Fire- fighter com Fire- fighter F Ladder com Mg -Ladder a/3 x

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 74P: A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A...

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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 P10.36
A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately. Figure P10.73 Problems 73 and 74.
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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
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)?
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