O Macmillan Learning A bucket crane consists of a uniform boom of mass M=201 kg and length L 59.75 ft that pivots at a point on a truck bed. The boom supports an elevated bucket with a worker inside at the other end of the boom, as shown in the figure. Model the bucket and the worker together as a point mass of weight 205 lb, located at the end point of the boom. Suppose that when the boom makes an angle of 68.3" with the horizontal truck bed, the bucket crane suddenly loses power, causing the bucket and boom to rotate freely toward the ground. Take the rotation axis to be at the point where the boom pivots on the truck bed. Use g = 9,81 m/s² for the acceleration due to gravity. For unit conversions, assume that 1m 3.28 ft and 1 lb 4.45 N. Find the magnitude of the angular acceleration a of the system just after the crane loses power. Express your answer to at least two decimal places. a= x10 TOOLS M IN rad 82

O Macmillan Learning A bucket crane consists of a uniform boom of mass M=201 kg and length L 59.75 ft that pivots at a point on a truck bed. The boom supports an elevated bucket with a worker inside at the other end of the boom, as shown in the figure. Model the bucket and the worker together as a point mass of weight 205 lb, located at the end point of the boom. Suppose that when the boom makes an angle of 68.3" with the horizontal truck bed, the bucket crane suddenly loses power, causing the bucket and boom to rotate freely toward the ground. Take the rotation axis to be at the point where the boom pivots on the truck bed. Use g = 9,81 m/s² for the acceleration due to gravity. For unit conversions, assume that 1m 3.28 ft and 1 lb 4.45 N. Find the magnitude of the angular acceleration a of the system just after the crane loses power. Express your answer to at least two decimal places. a= x10 TOOLS M IN rad 82

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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In order to lift a shovelful of dirt, a gardener pushes downward on the end of the shovel and pulls upward at distance l2 from the end, as shown below. The weight of the shovel is mg and acts at the point os application of F2 . Calculate the magnitudes of the forces F1 and F2 as functions of l1 , l2 , mg, and the weight W of the load. Why do your answers not depend on the angle that shovel makes with the horizontal?
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.
A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = = 4.00 m. A painter of mass m = 70.0 kg stands on the ladder d = 3.00 m 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.
A 15.0-in uniform ladder weighing 500 N rests against frictionless wall. The ladder makes a 60.0 angle ESI with the horizontal, (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when an 800-N firelighter has climbed 4.00 m along the ladder from the bottom, (b) If the ladder is just on the verge of slipping when the firefighter is 9.00 m from the bottom, what is the coefficient of static friction between ladder and ground?
A uniform ladder of length L.and mass m1 rests against a frictionless wall. The ladder makes an angle 0 with the horizontal, (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when a firelighter of mass m2, has climbed a distance x along the ladder from the bottom, (b) If the ladder is just on the verge of slipping when the firefighter is a distance d along the ladder from the bottom, what is the coefficient of static friction between ladder and ground?
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A uniform rod of length 2R and mass M is attached to a small collar C and rests on a cylindrical surface of radius R ,as shown bolow. If the collar can slide without friction along the vertical guide, find the angle for which the rod is in static equilibrium.
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