CLASSICAL DYNAMICS OF PARTICLES AND SYST
5th Edition
ISBN: 9780357670675
Author: Thornton
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 2.48P
To determine
Show that the period is proportional to
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
43. A mass må undergoes circular
motion of radius R on a hori-
zontal frictionless table, con-
nected by a massless string
through a hole in the table to
a second mass m² (Fig. 5.33).
If m₂ is stationary, find expres-
sions for (a) the string tension
and (b) the period of the circu-
lar motion.
m2
R
m₁
FIGURE 5.33 Problem 43
CH
70. A block is projected up an incline at angle 0. It returns to its initial
position with half its initial speed. Show that the coefficient of ki-
netic friction is μk = tano.
Passage Problems
A spiral is an ice-skating position in which the skater glides on one
foot with the other foot held above hip level. It's a required element
in women's singles figure-skating competition and is related to the
arabesque performed in ballet. Figure 5.40 shows Canadian skater
Kaetlyn Osmond executing a spiral during her medal-winning perfor-
mance at the 2018 Winter Olympics in Gangneung, South Korea.
77. From the photo, you can conclude
that the skater is
a. executing a turn to her left.
b. executing a turn to her right.
c. moving in a straight line out of
the page.
78. The net force on the skater
a. points to her left.
b. points to her right.
c. is zero.
79. If the skater were to execute the same
maneuver but at higher speed, the tilt
evident in the photo would be
a. less.
b. greater.
c. unchanged.
FIGURE 5.40 Passage
Problems 77-80
80. The tilt angle 0 that the skater's body
makes with the vertical is given ap-
proximately by 0 = tan¯¹(0.5). From this you can conclude…
Chapter 2 Solutions
CLASSICAL DYNAMICS OF PARTICLES AND SYST
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - If a projectile is fired from the origin of the...Ch. 2 - A clown is juggling four balls simultaneously....Ch. 2 - A jet fighter pilot knows he is able to withstand...Ch. 2 -
In the blizzard of ’88, a rancher was forced to...Ch. 2 - Prob. 2.7PCh. 2 - A projectile is fired with a velocity 0 such that...Ch. 2 - Consider a projectile fired vertically in a...Ch. 2 - Prob. 2.11P
Ch. 2 - A particle is projected vertically upward in a...Ch. 2 -
A particle moves in a medium under the influence...Ch. 2 - A projectile is fired with initial speed 0 at an...Ch. 2 -
A particle of mass m slides down an inclined...Ch. 2 - A particle is projected with an initial velocity 0...Ch. 2 - A strong softball player smacks the ball at a...Ch. 2 - Prob. 2.19PCh. 2 - A gun fires a projectile of mass 10 kg of the type...Ch. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - A skier weighing 90 kg starts from rest down a...Ch. 2 - A block of mass m = 1.62 kg slides down a...Ch. 2 - A child slides a block of mass 2 kg along a slick...Ch. 2 - A rope having a total mass of 0.4 kg and total...Ch. 2 - A superball of mass M and a marble of mass m are...Ch. 2 - An automobile driver traveling down an 8% grade...Ch. 2 - A student drops a water-filled balloon from the...Ch. 2 - Prob. 2.31PCh. 2 - Two blocks of unequal mass are connected by a...Ch. 2 - A particle is released from rest (y = 0) and falls...Ch. 2 - Perform the numerical calculations of Example 2.7...Ch. 2 - Prob. 2.36PCh. 2 - A particle of mass m has speed υ = α/x, where x is...Ch. 2 - The speed of a particle of mass m varies with the...Ch. 2 - A boat with initial speed υ0 is launched on a...Ch. 2 - A train moves along the tracks at a constant speed...Ch. 2 - Prob. 2.42PCh. 2 - Prob. 2.45PCh. 2 - Prob. 2.46PCh. 2 - Consider a particle moving in the region x > 0...Ch. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - According to special relativity, a particle of...Ch. 2 - Let us make the (unrealistic) assumption that a...Ch. 2 - A particle of mass m moving in one dimension has...Ch. 2 - A potato of mass 0.5 kg moves under Earth’s...Ch. 2 - Prob. 2.55P
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
- Frictionless surfarrow_forward71. A 2.1-kg mass is connected to a spring with spring constant 72 k = 150 N/m and unstretched length 18 cm. The two are mounted on a frictionless air table, with the free end of the spring attached to a frictionless pivot. The mass is set into circular mo- tion at 1.4 m/s. Find the radius of its path. cor moving at 77 km/h negotiat CH —what's the minimum icient of frictioarrow_forward12. Two forces act on a 3.1-kg mass that undergoes acceleration = 0.91 0.27 m/s². If one force is -1.2î – 2.5ĵ N, what's the other?arrow_forward
- 36. Example 5.7: You whirl a bucket of water around in a vertical circle of radius 1.22 m. What minimum speed at the top of the circle will keep the water in the bucket?arrow_forwardPassage Problems Laptop computers are equipped with accelerometers that sense when the device is dropped and then put the hard drive into a protective mode. Your computer geek friend has written a program that reads the accel- erometer and calculates the laptop's apparent weight. You're amusing yourself with this program on a long plane flight. Your laptop weighs just 5 pounds, and for a long time that's what the program reports. But then the "Fasten Seatbelt" light comes on as the plane encounters turbu- lence. Figure 4.27 shows the readings for the laptop's apparent weight over a 12-second interval that includes the start of the turbulence. 76. At the first sign of turbulence, the plane's acceleration a. is upward. b. is downward. c. is impossible to tell from the graph. 77. The plane's vertical ac- celeration has its greatest magnitude a. during interval B. b. during interval C. c. during interval D. 78. During interval C, you can conclude for certain that the plane is Apparent…arrow_forwardIf the metal sphere on the Van de Graff has a charge of 0.14 Coulombs and the person has a mass of 62 kg, how much excess charge would the person need in order to levitate at a distance 25 cm from the center of the charged metal sphere? Assume you can treat both the person and the metal sphere as point charges a distance 25 cm from each otherarrow_forward
- If the metal sphere on the Van de Graff has a charge of 0.14 Coulombs and the person has a mass of 62 kg, how much excess charge would the person need in order to levitate at a distance 25 cm from the center of the charged metal sphere? Assume you can treat both the person and the metal sphere as point charges a distance 25 cm from each other (so that you can use Coulomb's Law to calculate the electrical force).arrow_forwardUsing Coulomb's Law, calculate the magnitude of the electrical force between two protons located 1 meter apart from each other. (Give your answer as the number of Newtons but as usual you only need to include the number, not the unit label.)arrow_forwardPart A You want to get an idea of the magnitude of magnetic fields produced by overhead power lines. You estimate that a transmission wire is about 12 m above the ground. The local power company tells you that the line operates at 12 kV and provide a maximum of 60 MW to the local area. Estimate the maximum magnetic field you might experience walking under such a power line, and compare to the Earth's field. [For an ac current, values are rms, and the magnetic field will be changing.] Express your answer using two significant figures. ΟΤΕ ΑΣΦ VAΣ Bmax= Submit Request Answer Part B Compare to the Earth's field of 5.0 x 10-5 T. Express your answer using two significant figures. Ο ΑΣΦ B BEarth ? ? Tarrow_forward
- Ho propel 9-kN t. Boat 27. An elevator accelerates downward at 2.4 m/s². What force does the elevator's floor exert on a 52-kg passenger?arrow_forward16. 17 A CUIN Starting from rest and undergoing constant acceleration, a 940-kg racing car covers 400 m in 4.95 s. Find the force on the car.arrow_forward----- vertical diste Section 4.6 Newton's Third Law 31. What upward gravitational force does a 5600-kg elephant exert on Earth?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
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: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
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