A construction worker of mass m, = 69.6 kg stands on a uniform ladder a distance d = 0.9 m from the bottom, measured along the ladder (Refer to the figure below). The ladder with mass m2 = 10.1 kg and length L = 3.8 m rests against a smooth wall. It makes an angle 31.3 degrees with the ground. There is a frictional force of magnitude f between the floor and the ladder. N, is the magnitude of the normal force exerted by the wall on the ladder, and N2 is the magnitude of the normal force exerted by the

A construction worker of mass m, = 69.6 kg stands on a uniform ladder a distance d = 0.9 m from the bottom, measured along the ladder (Refer to the figure below). The ladder with mass m2 = 10.1 kg and length L = 3.8 m rests against a smooth wall. It makes an angle 31.3 degrees with the ground. There is a frictional force of magnitude f between the floor and the ladder. N, is the magnitude of the normal force exerted by the wall on the ladder, and N2 is the magnitude of the normal force exerted by the

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 28P: A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under...

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A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot located a distance = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 55.0 kg steps onto the left end of the beam and begins walking to the right as in Figure P10.28. The goal is to find the womans position when the beam begins to tip. (a) What is the appropriate analysis model for the beam before it begins to tip? (b) Sketch a force diagram for the beam, labeling the gravitational and normal forces acting on the beam and placing the woman a distance x to the right of the first pivot, which is the origin. (c) Where is the woman when the normal force n1 is the greatest? (d) What is n1 when the beam is about to tip? (e) Use Equation 10.27 to find the value of n2 when the beam is about to tip. (f) Using the result of part (d) and Equation 10.28, with torques computed around the second pivot, find the womans position x when the beam is about to tip. (g) Check the answer to part (e) by computing torques around the first pivot point. Figure P10.28
a uniform beam of length 12.0 m is supported by a horizontal cable and a hinge at angle u =50.0°. The tension in the cable is 400 N. In unit-vector notation, what are (a) the gravitational force on the beam and (b) the force on the beam from the hinge?
A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is ?1=0.195 and the coefficient of friction between the ladder and the wall is ?2=0.203. Determine the maximum angle α with the vertical that the ladder can make without falling on the ground.
Two uniform planks, each of mass m = 7.45 kg and length L = 2.51 m, are connected by a hinge at the top and by a chain of negligible mass attached at their centers, as shown in the figure. The assembly will stand upright, in the shape of an A, on a frictionless surface without collapsing. If the chain has the length 0.81 m, find each of the following: a) the absolute value of the tension in the chain, b) the absolute magnitude of the force on the hinge of each p lank
A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1m of the plank hanging over the right support. To what distance x can a person who weighs 377 N walk on the overhanging part of the plank before it just begins to tip?
A uniform beam of length L = 2.2 m and mass M = 33 kg has its lower end fixed to pivot at a point P on the floor, making an angle θ = 15° as shown in the digram. A horizontal cable is attached at its upper end B to a point A on a wall. A box of the same mass M as the beam is suspended from a rope that is attached to the beam one-fourth L from its upper end.What is the y-component Py of the force, in newtons, exerted by the pivot on the beam? Py = Write an expression for the tension T in the horizontal cable AB. T = What is the x-component Px of the force, in newtons, exerted by the pivot on the beam? Px =
Consider a see-saw of total length 5.40m balanced at its center of mass, with a child of mass 35.00kg sitting on the left-most edge. If a second child of mass 46.00kg wants to balance the see-saw, what distance from the pivot point must the second child sit? ____m
A spade is modelled as a uniform rod, of mass 2kg and length 90cm, attached to a uniform square lamina, of side 20cm and mass 0.5kg. A gardener holds the spade horizontally with hands 30cm and 60cm from the end of the rod. Find the vertical forces exerted by the gardener's hands. Im stuck on this q, pls help.
A uniform ladder is 10 m long and weighs 200 N. , the ladder leans against a vertical, frictionless wall at height h = 8.0 m above the ground. A horizontal force is applied to the ladder at distance d = 2.0 m from its base (measured along the ladder). (a) If force magnitude F = 50 N, what is the force of the ground on the ladder, in unit-vector notation? (b) If F = 150 N, what is the force of the ground on the ladder, also in unit-vector notation? (c) Suppose the coefficient of static friction between the ladder and the ground is 0.38; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall?
The uniform ladder of length 1.8 m and mass 6.2kg rests against a smooth vertical wall. If a coefficient of static friction between the ladder and ground is μ=0.3. Find the minimum angle θmin in radians such that the ladder will not slip. Please state your answer in radian to the nearest hundredth of a radian.
The following figure shows a 4 m bar attached to the wall through a hinge that rotates freely, but is tied to the wall at its other end so that the system is in equilibrium. If the bar weighs 40 N and the tension in the rope is 20 N, find the angle of inclination θ (theta) that the bar makes with the x-axis and the magnitude of the reaction force at the hinge.
A uniform L = 6.71 m long horizontal beam that weighs WB= 363N is attached to a wall by a pin connection that allows the beam to rotate. Its far end is supported by a cablewith tension Tthat makes an angle of 50.0° with the horizontal, and a person of weight WP= 427.5N is standing d = 2.38m from the pin. Find the magnitude of the force R exertedon the beam by the wall if the beam is in equilibrium. A)532N B)534N C)536N D)538N