EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9781305804463
Author: Jewett
Publisher: CENGAGE LEARNING - CONSIGNMENT
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10, Problem 10.5CQ
Example 10.6
A wheel of radius R mass M and moment of inertia I is mounted on a frictionless, horizontal axle as in Figure 10.14. A light cord wrapped around the wheel supports an object of mass m. When the wheel is released, the object accelerates downward, the cord unwraps off the wheel, and the wheel rotates with an angular acceleration. Find expressions for the angular acceleration of the wheel, the translational acceleration of the object, and the tension in the cord.
5. Using the results from Example 10.6, how would you calculate the angular speed of the wheel and the linear speed of the hanging object at t = 2 s, assuming the system is released from rest at t = 0?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
ROTATIONAL DYNAMICS
Question 01
A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling
together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure
rolling motion Question 02
A sphere and cylinder of the same mass and radius start from ret at the same point and more
down the same plane inclined at 30° to the horizontal
Which body gets the bottom first and what is its acceleration
b) What angle of inclination of the plane is needed to give the slower body the same
acceleration
Question 03
i)
Define the angular velocity of a rotating body and give its SI unit
A car wheel has its angular velocity changing from 2rads to 30 rads
seconds. If the radius of the wheel is 400mm. calculate
ii)
The angular acceleration
iii)
The tangential linear acceleration of a point on the rim of the wheel
Question 04
in 20
Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
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
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 10 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 10 - A rigid object rotates in a counterclockwise sense...Ch. 10 - Consider again the pairs of angular positions for...Ch. 10 - Ethan and Rebecca are riding on a merry-go-round....Ch. 10 - (i) If you are trying to loosen a stubborn screw...Ch. 10 - You turn off your electric drill and find that the...Ch. 10 - A section of hollow pipe and a solid cylinder have...Ch. 10 - A ball rolls without slipping down incline A,...Ch. 10 - A cyclist rides a bicycle with a wheel radius of...Ch. 10 - Consider an object on a rotating disk a distance r...Ch. 10 - A wheel is rotating about a fixed axis with...
Ch. 10 - A grindstone increases in angular speed from 4.00...Ch. 10 - Suppose a cars standard tires are replaced with...Ch. 10 - Figure OQ10.6 shows a system of four particles...Ch. 10 - As shown in Figure OQ10.7, a cord is wrapped onto...Ch. 10 - A constant net torque is exerted on an object....Ch. 10 - Prob. 10.9OQCh. 10 - A toy airplane hangs from the ceiling at the...Ch. 10 - A solid aluminum sphere of radius R has moment of...Ch. 10 - Is it possible to change the translational kinetic...Ch. 10 - Must an object be rotating to have a nonzero...Ch. 10 - Suppose just two external forces act on a...Ch. 10 - Explain how you might use the apparatus described...Ch. 10 - Example 10.6 Angular Acceleration of a Wheel A...Ch. 10 - Explain why changing the axis of rotation of an...Ch. 10 - Suppose you have two eggs, one hard-boiled and the...Ch. 10 - Suppose you set your textbook sliding across a...Ch. 10 - (a) What is the angular speed of the second hand...Ch. 10 - One blade of a pair of scissors rotates...Ch. 10 - If you see an object rotating, is there...Ch. 10 - If a small sphere of mass M were placed at the end...Ch. 10 - Three objects of uniform densitya solid sphere, a...Ch. 10 - Which of the entries in Table 10.2 applies to...Ch. 10 - Figure CQ10.15 shows a side view of a childs...Ch. 10 - A person balances a meterstick in a horizontal...Ch. 10 - (a) Find the angular speed of the Earths rotation...Ch. 10 - A potters wheel moves uniformly from rest to an...Ch. 10 - During a certain time interval, the angular...Ch. 10 - A bar on a hinge starts from rest and rotates with...Ch. 10 - A wheel starts from rest and rotates with constant...Ch. 10 - A centrifuge in a medical laboratory rotates at an...Ch. 10 - An electric motor rotating a workshop grinding...Ch. 10 - A machine part rotates at an angular speed of...Ch. 10 - A dentists drill starts from rest. After 3.20 s of...Ch. 10 - Why is the following situation impossible?...Ch. 10 - A rotating wheel requires 3.00 s to rotate through...Ch. 10 - The tub of a washer goes into its spin cycle,...Ch. 10 - A spinning wheel is slowed down by a brake, giving...Ch. 10 - Review. Consider a tall building located on the...Ch. 10 - A racing car travels on a circular track of radius...Ch. 10 - Make an order-of-magnitude estimate of the number...Ch. 10 - A discus thrower (Fig. P10.9) accelerates a discus...Ch. 10 - Figure P10.18 shows the drive train of a bicycle...Ch. 10 - A wheel 2.00 m in diameter lies in a vertical...Ch. 10 - A car accelerates uniformly from rest and reaches...Ch. 10 - A disk 8.00 cm in radius rotates at a constant...Ch. 10 - Prob. 10.22PCh. 10 - A car traveling on a flat (unbanked), circular...Ch. 10 - A car traveling on a flat (unbanked), circular...Ch. 10 - In a manufacturing process, a large, cylindrical...Ch. 10 - Review. A small object with mass 4.00 kg moves...Ch. 10 - Find the net torque on the wheel in Figure P10.14...Ch. 10 - The fishing pole in Figure P10.28 makes an angle...Ch. 10 - An electric motor turns a flywheel through a drive...Ch. 10 - A grinding wheel is in the form of a uniform solid...Ch. 10 - A 150-kg merry-go-round in the shape of a uniform,...Ch. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - A model airplane with mass 0.750 kg is tethered to...Ch. 10 - A disk having moment of inertia 100 kg m2 is free...Ch. 10 - The combination of an applied force and a friction...Ch. 10 - Review. Consider the system shown in Figure P10.36...Ch. 10 - A potters wheela thick stone disk of radius 0.500...Ch. 10 - Imagine that you stand tall and turn about a...Ch. 10 - A uniform, thin, solid door has height 2.20 m,...Ch. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Figure P10.41 shows a side view of a car tire...Ch. 10 - Following the procedure used in Example 10.7,...Ch. 10 - Three identical thin rods, each of length L and...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - The four particles in Figure P10.45 are connected...Ch. 10 - Many machines employ cams for various purposes,...Ch. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - A horizontal 800-N merry-go-round is a solid disk...Ch. 10 - Big Ben, the nickname for the clock in Elizabeth...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - The top in Figure P10.51 has a moment of inertia...Ch. 10 - Why is the following situation impossible? In a...Ch. 10 - In Figure P10.53, the hanging object has a mass of...Ch. 10 - Review. A thin, cylindrical rod = 24.0 cm long...Ch. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - This problem describes one experimental method for...Ch. 10 - A uniform solid disk of radius R and mass M is...Ch. 10 - The head of a grass string trimmer has 100 g of...Ch. 10 - A cylinder of mass 10.0 kg rolls without slipping...Ch. 10 - A solid sphere is released from height h from the...Ch. 10 - (a) Determine the acceleration of the center of...Ch. 10 - A smooth cube of mass m and edge length r slides...Ch. 10 - A uniform solid disk and a uniform hoop are placed...Ch. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - A metal can containing condensed mushroom soup has...Ch. 10 - As shown in Figure 10.13 on page 306, toppling...Ch. 10 - Review. A 4.00-m length of light nylon cord is...Ch. 10 - An elevator system in a tall building consists of...Ch. 10 - A shaft is turning at 65.0 rad/s at time t = 0....Ch. 10 - A shaft is turning at angular speed at time t =...Ch. 10 - Review. A mixing beater consists of three thin...Ch. 10 - The hour hand and the minute hand of Big Ben, the...Ch. 10 - A long, uniform rod of length L and mass M is...Ch. 10 - A bicycle is turned upside down while its owner...Ch. 10 - A bicycle is turned upside down while its owner...Ch. 10 - Prob. 10.76APCh. 10 - Review. As shown in Figure P10.77, two blocks are...Ch. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - The reel shown in Figure P10.79 has radius R and...Ch. 10 - A common demonstration, illustrated in Figure...Ch. 10 - A uniform solid sphere of radius r is placed on...Ch. 10 - Review. A spool of wire of mass M and radius R is...Ch. 10 - A solid sphere of mass m and radius r rolls...Ch. 10 - A thin rod of mass 0.630 kg and length 1.24 m is...Ch. 10 - Prob. 10.85APCh. 10 - Review. A clown balances a small spherical grape...Ch. 10 - A plank with a mass M = 6.00 kg rests on top of...Ch. 10 - As a gasoline engine operates, a flywheel turning...Ch. 10 - As a result of friction, the angular speed of a...Ch. 10 - To find the total angular displacement during the...Ch. 10 - A spool of thread consists of a cylinder of radius...Ch. 10 - A cord is wrapped around a pulley that is shaped...Ch. 10 - A merry-go-round is stationary. A clog is running...Ch. 10 - A uniform, hollow, cylindrical spool has inside...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Page 2 SECTION A Answer ALL questions in Section A [Expect to use one single-sided A4 page for each Section-A sub question.] Question A1 SPA6308 (2024) Consider Minkowski spacetime in Cartesian coordinates th = (t, x, y, z), such that ds² = dt² + dx² + dy² + dz². (a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V. (b) Consider now the coordinate system x' (u, v, y, z) such that u =t-x, v=t+x. [2 marks] Write down the line element, the metric, the Christoffel symbols and the Riemann curvature tensor in the new coordinates. [See the Appendix of this document.] [5 marks] (c) Determine V", that is, write the object in question A1.a in the coordinate system x'. Verify explicitly that V. V is invariant under the coordinate transformation. Question A2 [5 marks] Suppose that A, is a covector field, and consider the object Fv=AAμ. (a) Show explicitly that F is a tensor, that is, show that it transforms appropriately under a coordinate transformation. [5 marks] (b)…arrow_forwardHow does boiling point of water decreases as the altitude increases?arrow_forwardNo chatgpt pls will upvotearrow_forward
- 14 Z In figure, a closed surface with q=b= 0.4m/ C = 0.6m if the left edge of the closed surface at position X=a, if E is non-uniform and is given by € = (3 + 2x²) ŷ N/C, calculate the (3+2x²) net electric flux leaving the closed surface.arrow_forwardNo chatgpt pls will upvotearrow_forwardsuggest a reason ultrasound cleaning is better than cleaning by hand?arrow_forward
- Checkpoint 4 The figure shows four orientations of an electric di- pole in an external electric field. Rank the orienta- tions according to (a) the magnitude of the torque on the dipole and (b) the potential energy of the di- pole, greatest first. (1) (2) E (4)arrow_forwardWhat is integrated science. What is fractional distillation What is simple distillationarrow_forward19:39 · C Chegg 1 69% ✓ The compound beam is fixed at Ę and supported by rollers at A and B. There are pins at C and D. Take F=1700 lb. (Figure 1) Figure 800 lb ||-5- F 600 lb بتا D E C BO 10 ft 5 ft 4 ft-—— 6 ft — 5 ft- Solved Part A The compound beam is fixed at E and... Hình ảnh có thể có bản quyền. Tìm hiểu thêm Problem A-12 % Chia sẻ kip 800 lb Truy cập ) D Lưu of C 600 lb |-sa+ 10ft 5ft 4ft6ft D E 5 ft- Trying Cheaa Những kết quả này có hữu ích không? There are pins at C and D To F-1200 Egue!) Chegg Solved The compound b... Có Không ☑ ||| Chegg 10 וחarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY