FUNDAMENTALS OF PHYSICS V.1
11th Edition
ISBN: 9781119573913
Author: Halliday
Publisher: WILEY
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Textbook Question
Chapter 12, Problem 31P
GO In Fig. 12-47, a nonuniform bar is suspended at rest in a horizontal position by two massless cords. One cord makes the angle θ = 36.9° with the vertical; the other makes the angle ϕ = 53.1° with the vertical. If the length L of the bar is 6.10 m, compute the distance x from the left end of the bar to its center of mass.
Figure 12-47 Problem 31.
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Question B3
Consider the following FLRW spacetime:
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SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
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[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
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[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 12 Solutions
FUNDAMENTALS OF PHYSICS V.1
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 - Prob. 7QCh. 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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