Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 12, Problem 37P
GO In Fig. 12-51, a uniform plank, with a length L of 6.10 m and a weight of 445 N, rests on the ground and against a frictionless roller at the top of a wall of height h = 3.05 m, The plank remains in equilibrium for any value of θ≥ 70° but slips if θ< 70°. Find the coefficient of static friction between the plank and the ground.
Figure 12-51 Problem 37.
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Students have asked these similar questions
Problem 19 A uniform ladder is 10 m long and
weighs 200 N. The ladder leans
against a vertical, frictionless wall
at heighth 8.0 m above the
ground. A horizontal force Fis
applied to the ladder at distance
d = 2.0m from its base (measured
along the ladder).
أ
(a) If the force magnitude is F = 50 N, what is the necessary friction
(magnitude and direction) on the floor to keep the ladder stable?
(b) Suppose the coefficient of static friction between the floor and
the ladder is 0.5, find the maximum magnitude of force F just
before the ladder starts to move.
(a) A uniform steel beam of mass 200.00 kg is held up by a steel cable that is connected to
the beam a distance L 6.00 m from the wall, at an angle 0=30.00° as shown Figure 1.
The beam is bolted to the wall with an unknown force F exerted by the wall on the beam.
An object of mass 600.00 kg, resting on top of the beam, is placed a distance d 2.00 m
from the wall. Solve this problem fully, by finding the tension in the cable, the horizontal
and vertical components of the force that the wall exerts on the beam and its magnitude
and its direction.
Figure 1
A 10 m long ladder with mass of 20 kg rests against a smooth wall at height of 8 m at an
inclination a to the rough ground floor. Assuming that there is no friction between the wall
and the ladder, but there is a frictional force between the floor and the ladder.
(a)
Determine the minimum static coefficient of friction, 4 between the floor and the
ladder for which equilibrium is possible.
(b)
A worker of mass 80 kg climbs up the ladder. Determine how far the worker may go
up before the ladder starts to slip.
(c)
By comparing between frictional force of floor and wall, determine whether a
worker can climb safely to the top of the ladder or not.
Chapter 12 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 12 - Figure 12-15 shows three situations in which the...Ch. 12 - In Fig, 12-16, a rigid beam is attached to two...Ch. 12 - Figure 12-17 shows four overhead views of rotating...Ch. 12 - A ladder leans against a frictionless wall but is...Ch. 12 - Figure 12-18 shows a mobile of toy penguins...Ch. 12 - Figure 12-19 shows an overhead view of a uniform...Ch. 12 - In Fig. 12-20, a stationary 5 kg rod AC is held...Ch. 12 - Three piatas hang from the stationary assembly of...Ch. 12 - In Fig. 12-22, a vertical rend is hinged at its...Ch. 12 - Figure 12-23 shows a horizontal block that is...
Ch. 12 - The table gives the initial lengths of three reds...Ch. 12 - A physical therapist gone wild has constructed the...Ch. 12 - Prob. 1PCh. 12 - An automobile with a mass of 1360 kg has 3.05 m...Ch. 12 - SSM WWWIn Fig. 12-26, a uniform sphere of mass m =...Ch. 12 - An archers bow is drawn at its midpoint until the...Ch. 12 - ILWA rope of negligible mass is stretched...Ch. 12 - A scaffold of mass 60 kg and Length 5.0 m is...Ch. 12 - A 75 kg window cleaner uses a 10 kg ladder that is...Ch. 12 - A physics Brady Bunch, whose weights in newtons...Ch. 12 - SSMA meter stick balances horizontally on a...Ch. 12 - GO The system in Fig. 12-28 is in equilibrium,...Ch. 12 - SSMFigure 12-29 shows a diver of weight 580 N...Ch. 12 - In Fig. 12-30, trying to gel his car out of mud, a...Ch. 12 - Figure 12-31 shows the anatomical structures in...Ch. 12 - In Fig. 12-32, a horizontal scaffold, of length...Ch. 12 - ILWForces F1, F2 and F3 act on the structure of...Ch. 12 - A uniform cubical crate is 0.750 m on each side...Ch. 12 - In Fig. 12-34, a uniform beam of weight 500 N and...Ch. 12 - GO In Fig. 12-35, horizontal scaffold 2, with...Ch. 12 - To crack a certain nut in a nutcracker, forces...Ch. 12 - A bowler holds a bowling ball M = 7.2 kg in the...Ch. 12 - ILWThe system in Fig. 12-38 is in equilibrium. A...Ch. 12 - GO In Fig-12-39, a 55 kg rock climber is in a...Ch. 12 - GO In Fig. 12-40, one end of a uniform beam of...Ch. 12 - GO In Fig. 12-41, a climber with a weight of 533.8...Ch. 12 - SSM WWWIn Fig. 12-42, what magnitude of constant...Ch. 12 - GO In Fig. 12-43, a climber leans out against a...Ch. 12 - GO In Fig. 12-44, a 15 kg block is held in place...Ch. 12 - GO In Fig. 12-45, suppose the length L of the...Ch. 12 - A door has a height of 2.1 m along a y axis that...Ch. 12 - GO In Fig. 12-46, a 50.0 kg uniform square sign,...Ch. 12 - GO In Fig. 12-47, a nonuniform bar is suspended at...Ch. 12 - In Fig. 12-48, the driver of a car on a horizontal...Ch. 12 - Figure 12-49a shows a vertical uniform beam of...Ch. 12 - In Fig. 12-45, a thin horizontal bar AB of...Ch. 12 - SSM WWWA cubical box is filled with sand and...Ch. 12 - Figure 12-50 shows a 70 kg climber hanging by only...Ch. 12 - GO In Fig. 12-51, a uniform plank, with a length L...Ch. 12 - In Fig, 12-52, uniform beams A and B are attached...Ch. 12 - For the stepladder shown in Fig. 12-53, sides AC...Ch. 12 - Figure 12-54a shows a horizontal uniform beam of...Ch. 12 - A crate, in the form of a cube with edge lengths...Ch. 12 - In Fig. 12-7 and the associated sample problem,...Ch. 12 - SSM ILWA horizontal aluminum rod 4.8 cm in...Ch. 12 - Figure 12-55 shows the stressstrain curve for a...Ch. 12 - In Fig. 12-56, a lead brick rests horizontally on...Ch. 12 - Figure 12-57 shows an approximate plot of stress...Ch. 12 - A tunnel of length L = 150 m, height H = 7.2 m,...Ch. 12 - Figure 12-59 shows the stress versus strain plot...Ch. 12 - GO In Fig. 12-60, a 103kg uniform log hangs by two...Ch. 12 - GO Figure 12-61 represents an insect caught at the...Ch. 12 - GO Figure 12-62 is an overhead view of a rigid rod...Ch. 12 - After a fall, a 95 kg rock climber finds himself...Ch. 12 - SSMIn Fig 12-63, a rectangular slab of slate rests...Ch. 12 - A uniform ladder whose length is 5.0 m and whose...Ch. 12 - SSM In Fig. 12-64, block A mass 10 kg is in...Ch. 12 - Figure 12-65a shows a uniform ramp between two...Ch. 12 - GO In Fig. 12-66, a 10 kg sphere is supported on a...Ch. 12 - In Fig. 12-67a, a uniform 40.0 kg beam is centered...Ch. 12 - SSM In Fig. 12-68, an 817 kg construction bucket...Ch. 12 - In Fig. 12-69, a package of mass m hangs from a...Ch. 12 - ILWThe force F in Fig. 12-70 keeps the 6.40 kg...Ch. 12 - A mine elevator is supported by a single steel...Ch. 12 - Four bricks of length L, identical and uniform,...Ch. 12 - Prob. 64PCh. 12 - In Fig. 12-73, a uniform beam with a weight of 60...Ch. 12 - A uniform beam is 5.0 m long and has a mass of 53...Ch. 12 - A solid copper cube has an edge length of 85.5 cm....Ch. 12 - A construction worker attempts to lift a uniform...Ch. 12 - SSM In Fig. 12-76, a uniform rod of mass m is...Ch. 12 - A 73 kg man stands on a level bridge of length L....Ch. 12 - SSMA uniform cube of side length 8.0 cm rests cm a...Ch. 12 - The system in Fig. 12-77 is in equilibrium. The...Ch. 12 - SSMA uniform ladder is 10 m long and weighs 200 N....Ch. 12 - A pan balance is made up of a rigid, massless rod...Ch. 12 - The rigid square frame in Fig. 12-79 consists of...Ch. 12 - A gymnast with mass 46.0 stands on the end of a...Ch. 12 - Figure 12-81 shows a 300 kg cylinder that is...Ch. 12 - In Fig. 12-82, a uniform beam of length 12.0 m is...Ch. 12 - Four bricks of length L, identical and uniform,...Ch. 12 - A cylindrical aluminum rod, with an initial length...Ch. 12 - Prob. 81PCh. 12 - If the square beam in Fig. 12-6a and the...Ch. 12 - Figure 12-84 shows a stationary arrangement of two...Ch. 12 - A makeshift swing is constructed by makings loop...Ch. 12 - Figure 12-85a shows details of a finger in the...Ch. 12 - A trap door in a ceiling is 0.91 m square, has a...Ch. 12 - A particle is acted on by forces given, in...Ch. 12 - The leaning Tower of Pisa is 59.1 m high and 7.44...
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