Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
thumb_up100%
Chapter 10, Problem 2Q
Figure 10-21 shows plots of angular position θ versus time t for three cases in which a disk is rotated like a merry-go-round. In each case, the rotation direction changes at a certain angular position θchange. (a) For each case, determine whether θchange is clockwise or counterclockwise from θ = 0, or whether it is at θ = 0. For each case, determine (b) whether ω is zero before, after, or at t = 0 and (c) where α is positive, negative, or zero.
Figure 10-21 Question 2
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A Maxwell’s wheel can be used to store and “recycle” kinetic energy. Suppose that an internal wheel with mass M = 100 kg and radius R =1 ft is used to brake a one metric ton car by converting the vehicle’s linear kinetic energy into rotational kinetic energy. Up to what horizontal velocity of the car will such a system be physically viable if the wheel can sustain a maximum of 4000 rpm (revolutions per minute)?
As shown in the figure, the member is anchored at A
and section AB lies in the x-y plane. The dimensions
are x1 = : 1.2 m, yı 1.8 m, and 2₁ = 1.6 m. The
force applied at point C is
F = [-170 i +105 j + 110 k] N.
(Figure 1)
Figure
x
B
F
1 of 1
Part C - Calculating the moment about AB using the position vector BC
Using the position vector from B to C, calculate the moment about segment AB due to force F.
Express the individual components to three significant figures, if necessary, separated by commas.
► View Available Hint(s)
VE ΑΣΦ
MAB =[ 0.555,0.832,0
↓↑ vec
Submit Previous Answers Request Answer
=
?
i, j, k] N.m
Problem 5
Consider two identical simple pendulums moving in a common vertical plane and connected by a spring (see
Figure). The distance between the two suspension points is h. The masses of the pendulums are identical
and equal to m. We assume that at equilibrium the two pendulums hang vertically, with the spring at its
natural length h. The equilibrium position is thus 01 02 = 0. Therefore, the potential due to the spring
has the form
=
Vspring =
k > 0,
(1)
-
where P₁P2=√√(x1 − x2)² + (Y1 − 2)² is the distance between the two masses, where (x1,y1) and (x2, y2)
are the Cartesian coordinates of the two masses.
h
1
P₁
m
12
m
P₂
Figure 1: The two pendulums. The spring is depicted as a blue line.
(i) How many degrees of freedom does the system have? Choose appropriate generalised coordinates and
write the kinetic energy in terms of them. Determine the form of the matrix Tij which appears in the
small oscillations approximation.
(ii) Write the distance P₁P2 in terms of the angles 01 and 02…
Chapter 10 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 10 - Figure 10-20 is a graph of the angular velocity...Ch. 10 - Figure 10-21 shows plots of angular position ...Ch. 10 - A force is applied to the rim of a disk that can...Ch. 10 - Figure 10-22b is a graph of the angular position...Ch. 10 - In Fig. 10-23, two forces F1 and F2 act on a disk...Ch. 10 - In the overhead view of Fig. 10-24, five forces of...Ch. 10 - Figure 10-25a is an overhead view of a horizontal...Ch. 10 - Figure l0-25b shows an overhead view of a...Ch. 10 - Figure 10-26 shows a uniform metal plate that had...Ch. 10 - Figure 10-27 shows three flat disks of the same...
Ch. 10 - Figure 10-28a shows a meter stick, hall wood and...Ch. 10 - Figure 10-29 shows three disks, each with a...Ch. 10 - A good baseball pitcher can throw a baseball...Ch. 10 - What is the angular speed of a the second hand, b...Ch. 10 - When a slice of buttered toast is accidentally...Ch. 10 - The angular position of a point on a rotating...Ch. 10 - ILW A diver makes 2.5 revolutions on the way from...Ch. 10 - The angular position of a point on the rim of a...Ch. 10 - The wheel in Fig. 10-30 has eight equally spaced...Ch. 10 - The angular acceleration of a wheel is = 6.0t4 ...Ch. 10 - A drum rotates around its central axis at an...Ch. 10 - Starting from rest, a disk rotates about its...Ch. 10 - A disk, initially rotating at 120 rad/s, is slowed...Ch. 10 - The angular speed of an automobile engine is...Ch. 10 - ILW A flywheel turns through 40 rev as it slows...Ch. 10 - GO A disk rotates about its central axis starling...Ch. 10 - SSM Starting from rest, a wheel has constant =...Ch. 10 - A merry-go-round rotates from rest with an angular...Ch. 10 - At t = 0, a flywheel has an angular velocity of...Ch. 10 - A pulsar is a rapidly rotating neutron star that...Ch. 10 - What are the magnitudes of a the angular velocity,...Ch. 10 - An object rotates about a fixed axis, and the...Ch. 10 - Between 1911 and 1990, the top of the leaning bell...Ch. 10 - An astronaut is tested in a centrifuge with radius...Ch. 10 - SSM WWW A flywheel with a diameter of 1.20 m is...Ch. 10 - A vinyl record is played by rotating the record so...Ch. 10 - SSM a What is the angular speed about the polar...Ch. 10 - The flywheel of a steam engine runs with a...Ch. 10 - A seed is on a turntable rotating at 3313 rev/min,...Ch. 10 - In Fig. 10-31, wheel A of radius rA = 10 cm is...Ch. 10 - Figure 10-32 shows an early method of measuring...Ch. 10 - A gyroscope flywheel of radius 2.83 cm is...Ch. 10 - GO A disk, with a radius of 0.25 m. is to be...Ch. 10 - A car starts from rest and moves around a circular...Ch. 10 - SSM Calculate the rotational inertia of a wheel...Ch. 10 - Figure 10-33 gives angular speed versus time for a...Ch. 10 - SSM Two uniform solid cylinders, each rotating...Ch. 10 - Figure 10-34a shows a disk that can rotate about...Ch. 10 - SSM Calculate the rotational inertia of a meter...Ch. 10 - Figure 10-35 shows three 0.0100 kg particles that...Ch. 10 - Trucks can be run on energy stored in a rotating...Ch. 10 - Figure 10-36 shows an arrangement of 15 identical...Ch. 10 - GO In Fig. 10-37, two particles, each with mass m...Ch. 10 - The masses and coordinates of four particles are...Ch. 10 - SSM WWW The uniform solid block in Fig. 10-38 has...Ch. 10 - Four identical particles of mass 0.50 kg each are...Ch. 10 - SSM ILW The body in Fig. 10-39 is pivoted at O,...Ch. 10 - The body in Fig. 10-40 is pivoted at O. Three...Ch. 10 - SSM A small ball of mass 0.75 kg is attached to...Ch. 10 - The length of a bicycle pedal arm is 0.152 m, and...Ch. 10 - SSM ILW During the launch from a board, a divers...Ch. 10 - If a 32.0 N m torque on a wheel causes angular...Ch. 10 - Prob. 51PCh. 10 - GO In Fig. 10-42, a cylinder having a mass of 2.0...Ch. 10 - GO Figure 10-43 shows a uniform disk that can...Ch. 10 - In a judo foot-sweep move, you sweep your...Ch. 10 - In Fig. 10-45a, an irregularly shaped plastic...Ch. 10 - Figure 10-46 shows particles 1 and 2, each of mass...Ch. 10 - GO A pulley, with a rotational inertia of 1.0 103...Ch. 10 - a IF R= 12 cm, M = 400 g, and m = 50 g in Fig....Ch. 10 - An automobile crankshaft transfers energy from the...Ch. 10 - A thin rod of length 0.75 m and mass 0.42 kg is...Ch. 10 - A 32.0 kg wheel, essentially a thin hoop with...Ch. 10 - In Fig. 10-35, three 0.0100 kg particles have been...Ch. 10 - SSM ILW A meter stick is held vertically with one...Ch. 10 - A uniform cylinder of radius 10 cm and mass 20 kg...Ch. 10 - GO A tall, cylindrical chimney fall;; over when...Ch. 10 - GO A uniform spherical shell of mass M = 4.5 kg...Ch. 10 - GO Figure 10-48 shows a rigid assembly of a thin...Ch. 10 - Prob. 68PCh. 10 - Prob. 69PCh. 10 - A wheel, starling from rest, rotates with a...Ch. 10 - SSM In Fig. 10-50, two 6.20 kg blocks are...Ch. 10 - Prob. 72PCh. 10 - A uniform helicopter rotor blade is 7.80 m long,...Ch. 10 - Prob. 74PCh. 10 - Prob. 75PCh. 10 - Starting from rest at t = 0, a wheel undergoes a...Ch. 10 - SSM A record turntable rotating at 3313 rev/min...Ch. 10 - Prob. 78PCh. 10 - Prob. 79PCh. 10 - A disk rotates al constant angular acceleration,...Ch. 10 - GO The thin uniform rod in Fig. 10-53 has length...Ch. 10 - Prob. 82PCh. 10 - Prob. 83PCh. 10 - At 7:14 A.M. on June 30, 1908, a huge explosion...Ch. 10 - A golf ball is launched at an angle of 20 to the...Ch. 10 - Prob. 86PCh. 10 - GO IN Fig. 10-55, a wheel of radius 0.20 m is...Ch. 10 - A thin spherical shell has a radius of 1.90 m. An...Ch. 10 - Prob. 89PCh. 10 - The flywheel of an engine is rotating at 25.0...Ch. 10 - SSM In Fig. 10-19a, a wheel of radius 0.20 m is...Ch. 10 - Our Sun is 23 104 ly light-years from the center...Ch. 10 - SSM A wheel of radius 0.20 m is mounted on a...Ch. 10 - If an airplane propeller rotates at 2000 rev/min...Ch. 10 - The rigid body shown in Fig. 10-57 consists of...Ch. 10 - Beverage engineering. The pull tab was a major...Ch. 10 - Figure 10-58 shows a propeller blade that rotates...Ch. 10 - A yo-yo-shaped device mounted on a horizontal...Ch. 10 - Prob. 99PCh. 10 - Two thin rods each of mass 0.20 kg are joined...Ch. 10 - In Fig. 10-61, four pulleys are connected by two...Ch. 10 - Prob. 102PCh. 10 - In Fig. 10-63, a thin uniform rod mass 3.0 kg,...Ch. 10 - Prob. 104PCh. 10 - Prob. 105PCh. 10 - A point on the rim of a 0.75-m-diameler grinding...Ch. 10 - A pulley wheel that is 8.0 cm in diameter has a...Ch. 10 - A vinyl record on a turntable rotates at 3313...
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
- In a satellite model for a science project, given the masses of the three satellites mA=1.4 kg, mp=2.8 kg, and mc =4.6 kg that are connected with massless rods, joined at the point the rotation axis is passing through. The satellites have the distances RA=1 m, RB rad = 0.9 m, and Rc =1.5 m, from the rotation axis. The system rotates with an angular speed w = 2.3 mA RA RB Rc MB 1. Calculate the moment of inertia /; for this model: /; = kg m² 2. Calculate the magnitude of the angular momentum L; = m2 kg 3. Calculate the rotational kinetic energy K;= 4. As the system is rotating counter-clockwise the direction of the vector is The mass mc was not properly glued and breaks away during the rotation. 1. Calculate the moment of inertia If for this model now. If= kg m2 2. Using the conservation of angular momentum, calculate the angular speed wf after the mass mc has broken away during rad the rotation. Wf= 3. Calculate the rotational kinetic energy in this situation: K=arrow_forwardThe cable AB carries a tension of 450 N. Determine the moment about O (positive if counterclockwise, negative if clockwise) of this tension as applied to point A of the slender bar. 760 mm B Answer: Mo= 36 i DA 350 mm N•marrow_forwardThe lower part of the platform, whose vertical section is seen in the figure, is bent in the form of a circle with radius r. The body released from the top of the inclined plane passes through the circumferential rail, first ascends, then descends and continues on its way. a) How many r heights must be released in order to complete the circumferential orbit by not detaching the object from the rail? b) If the object was a hollow sphere, what would the result be? (No friction, I sphere = 2/3 mr2)arrow_forward
- A smooth circular hoop with a radius of 0.900 m is placed flat on the floor. A 0.475-kg particle slides around the inside edge of the hoop. The particle is given an initial speed of 9.00 m/s. After one revolution, its speed has dropped to 5.00 m/s because of friction with the floor. (a) Find the energy transformed from mechanical to internal in the particle-hoop-floor system as a result of friction in one revolution. 13.3 (b) What is the total number of revolutions the particle makes before stopping? Assume the friction force remains constant during the entire motion. 1 Your response differs from the correct answer by more than 10%. Double check your calculations. revarrow_forwardAn amusing trick is to press a finger down on a marble on a horizontal table top, in such a way that the marble is projected along the table with an initial linear speed v and an initial backward rotational speed ω about a horizontal axis perpendicular to v. The coefficient of sliding friction between marble and top is constant. The marble has radius R. If the marble skids to a stop and then starts returning toward its initial position, with a final constant speed of 0.620v, what was ω in terms of v and R? Hint for part (b): When the marble rolls without slipping, the relationship between speed and angular speed is v = ωR.arrow_forwardCountries with excellent wind energy sources decide on national projects for the development of wind energy. Ten percent of the land area will be devoted to 1.5 kW wind energy per person, roughly the amount of electricity used by one person in an industrialized country. 2 MW wind turbine with a rotor of 80 m diameter is placed in the average layout space of the figure. Depending on the wind conditions, the average output is 650 kW per turbine. Calculate the maximum density of a single sphere consistent with this business plan. Align geographic information with Germany, Spain, India and Denmark (they all have active wind power programs), and discuss the possibilities for achieving this goal in each of these countries.arrow_forward
- The angular position of a circular disk with a circular diameter of 0.36m varies depending on the time, with a circumferential position of θ= (2rad/s^3).t^3. a) locate the angular positions of a point on the circular disk at t1=2s vet 2=5s (initially in the format 0) in radians and degrees. b) Find the disk's average angular velocity in the time range t1=2sec and t2=5sec. c)Find the actual angular speeds of the disk at t1=2sec and t2=5sec.arrow_forwardProblem#2: Compute for the moments brought about by F and by P at points A, B, and C given F = 450 N and P = 361 N. Assume : CCW = positive CW = negative A 1 B 1 F P сarrow_forwardThe figure shows a rigid assembly of a thin hoop (of mass m = 0.30 kg and radius R = 0.17 m) and a thin radial rod (of length L = 2R and also of mass m = 0.30 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and %3D %3D hoop, through the lower end of the rod. Assuming that the energy given to the assembly in the nudge is negligible, what is the assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation? Hoop Rod Rotation axis Number 9.23 Units rad/sarrow_forward
- Problem 5: Suppose a 190 kg motorcycle is heading toward a hill at a speed of 27 m/s. The two wheels weigh 12 kg each and can be approximated as solıd cylinders with a radius of 0.330 m. Note that the mass given for the motorcycle includes the mass of its tires. Randomized Variables m = 190 kg y = 27 m/s h = 29 m Part (a) How high can it coast up the hill, if you neglect friction in m? h = sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 5 6 atan() acotan() sinh() * 1 cosh() tanh() cotanh() END ODegrees O Radians vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! How much energy is lost to friction if the motorcycle only gains an altitude of 29 m before coming to rest?arrow_forwardOn a smooth horizontal table there is a metal rod of length L and mass m that can move across the table without friction. At one end of the rod is fixed a non-conducting thread that passes through an ideal pulley, fixed at the end of the table. At the other end of the thread hangs a rod exactly the same as the first. The system is then released and begins to move. Determine the potential difference that appears between the ends of each rod.arrow_forwardA particle moves with constant angular velocity ω round the curve with polar equation r=a(1-4sinθ), a>0 Find i)The maximum speed of the particles and the polar coordinates of the point at which the speed is maximum (With detailed steps please)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
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
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Moment of Inertia; Author: Physics with Professor Matt Anderson;https://www.youtube.com/watch?v=ZrGhUTeIlWs;License: Standard Youtube License