Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6, Problem 42AP
A child’s toy consists of a small wedge that has an acute angle θ (Fig. P6.28). The sloping side of the wedge is frictionless, and an object of mass m on it remains at constant height if the wedge is spun at a certain constant speed. The wedge is spun by rotating, as an axis, a vertical rod that is firmly attached to the wedge at the bottom end. Show that, when the object sits at rest at a point at distance L up along the wedge, the speed of the object must be v = (gL sin θ)1/2.
Figure P6.28
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A small ball of mass m is suspended by a string of length I. The
Sung makes an angie ß with the vertical. The ball revolves in a circle with an unknown
constant angular speed w. The orbital plane of the ball is at a height h above the ground.
Let g be the gravitational constant. You may ignore air resistance and the size of the ball.
m
+y
+x
Find an expression for the angular speed w. Express you answer in terms of some or all of
the following: 1, ß, and g.
A stone of mass 800.0 g is fastened to a string of length 75.0 cm which would break when the tension in it exceeds 50.0 N. The stone is whirled in a vertical plane with axis of rotation being 150 cm above the ground. The angular speed is gently increased until the string breaks. At which point along the circular path is the break likely to occur?
The motion of spinning a hula hoop around one's hips can be modeled as a hoop rotating around an axis not through the center, but offset from the center by an amount h, where h is less than R, the radius of the hoop. Suppose Maria spins a hula hoop with a mass of 0.72 kg and a radius of 0.65 m around her waist. The rotation axis is perpendicular to the plane of the hoop, but approximately 0.43 m from the center of the hoop.
(a) What is the rotational inertia of the hoop in this case?(b) If the hula hoop is rotating with an angular speed of 13.1 rad/s, what is its rotational kinetic energy?
Chapter 6 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 6.1 - You are riding on a Ferris wheel that is rotating...Ch. 6.2 - A bead slides at constant speed along a curved...Ch. 6.3 - Consider the passenger in the car making a left...Ch. 6.4 - A basketball and a 2-inch-diameter steel ball,...Ch. 6 - Prob. 1OQCh. 6 - Prob. 2OQCh. 6 - A door in a hospital has a pneumatic closer that...Ch. 6 - A pendulum consists of a small object called a bob...Ch. 6 - Prob. 5OQCh. 6 - An office door is given a sharp push and swings...
Ch. 6 - Prob. 7OQCh. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - An object executes circular motion with constant...Ch. 6 - Describe the path of a moving body in the event...Ch. 6 - Prob. 5CQCh. 6 - If someone told you that astronauts are weightless...Ch. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Why does a pilot tend to black out when pulling...Ch. 6 - A pail of water can be whirled in a vertical path...Ch. 6 - Prob. 1PCh. 6 - Whenever two Apollo astronauts were on the surface...Ch. 6 - In the Bohr model of the hydrogen atom, an...Ch. 6 - A curve in a road forms part of a horizontal...Ch. 6 - In a cyclotron (one type of particle accelerator),...Ch. 6 - A car initially traveling eastward turns north by...Ch. 6 - Prob. 7PCh. 6 - Consider a conical pendulum (Fig. P6.8) with a bob...Ch. 6 - A coin placed 30.0 cm from the center of a...Ch. 6 - Why is the following situation impossible? The...Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - A 40.0-kg child swings in a swing supported by two...Ch. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - A roller coaster at the Six Flags Great America...Ch. 6 - One end of a cord is fixed and a small 0.500-kg...Ch. 6 - An adventurous archeologist (m = 85.0 kg) tries to...Ch. 6 - An object of mass m = 5.00 kg, attached to a...Ch. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - A person stands on a scale in an elevator. As the...Ch. 6 - Review. A student, along with her backpack on the...Ch. 6 - A small container of water is placed on a...Ch. 6 - Prob. 26PCh. 6 - The mass of a sports car is 1 200 kg. The shape of...Ch. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - A small piece of Styrofoam packing material is...Ch. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Assume the resistive force acting on a speed...Ch. 6 - Review. A window washer pulls a rubber squeegee...Ch. 6 - Prob. 35PCh. 6 - You can feel a force of air drag on your hand if...Ch. 6 - A car travels clockwise at constant speed around a...Ch. 6 - Prob. 38APCh. 6 - A string under a tension of 50.0 N is used to...Ch. 6 - Disturbed by speeding cars outside his workplace,...Ch. 6 - A car of mass m passes over a hump in a road that...Ch. 6 - A childs toy consists of a small wedge that has an...Ch. 6 - A seaplane of total mass m lands on a lake with...Ch. 6 - An object of mass m1 = 4.00 kg is tied to an...Ch. 6 - A ball of mass m = 0.275 kg swings in a vertical...Ch. 6 - Why is the following situation impossible? A...Ch. 6 - Prob. 47APCh. 6 - Prob. 48APCh. 6 - Prob. 49APCh. 6 - A basin surrounding a drain has the shape of a...Ch. 6 - A truck is moving with constant acceleration a up...Ch. 6 - The pilot of an airplane executes a loop-the-loop...Ch. 6 - Review. While learning to drive, you arc in a 1...Ch. 6 - A puck of mass m1 is tied to a string and allowed...Ch. 6 - Prob. 55APCh. 6 - Prob. 56APCh. 6 - Prob. 57APCh. 6 - Review. A piece of putty is initially located at...Ch. 6 - Prob. 59APCh. 6 - Members of a skydiving club were given the...Ch. 6 - A car rounds a banked curve as discussed in...Ch. 6 - Prob. 62APCh. 6 - A model airplane of mass 0.750 kg flies with a...Ch. 6 - Prob. 64APCh. 6 - A 9.00-kg object starting from rest falls through...Ch. 6 - For t 0, an object of mass m experiences no force...Ch. 6 - A golfer tees off from a location precisely at i =...Ch. 6 - A single bead can slide with negligible friction...Ch. 6 - Prob. 69CPCh. 6 - Prob. 70CP
Additional Science Textbook Solutions
Find more solutions based on key concepts
Choose the best answer to each of the following. Explain your reasoning. Which of these star clusters is oldest...
Cosmic Perspective Fundamentals
Check Your Understanding If the line spacing of a diffraction grating d is not precisely known, we can use a li...
University Physics Volume 3
The temperature of the Universe at recombination was about 3000 K. Use Wien’s law to calculate the peak wavelen...
Loose Leaf For Explorations: Introduction To Astronomy
Check Your Understanding The changes of momentum for Philae and for Comet 67/P were equal (in magnitude). Were ...
University Physics Volume 1
How would Figure 10.13 change if the temperature of the gas were increased? FIGURE 10.13 The Maxwell velocity d...
MODERN PHYSICS (LOOSELEAF)
The validity of a scientific law.
The Physical Universe
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
- The motion of spinning a hula hoop around one's hips can be modeled as a hoop rotating around an axis not through the center, but offset from the center by an amount h, where h is less than R, the radius of the hoop. Suppose Maria spins a hula hoop with a mass of 0.74 kg and a radius of 0.67 m around her waist. The rotation axis is perpendicular to the plane of the hoop, but approximately 0.45 m from the center of the hoop. (a) What is the rotational inertia of the hoop in this case? kg · m2 (b) If the hula hoop is rotating with an angular speed of 13.3 rad/s, what is its rotational kinetic energy? Jarrow_forwardThe motion of spinning a hula hoop around one's hips can be modeled as a hoop rotating around an axis not through the center, but offset from the center by an amount h, where h is less than R, the radius of the hoop. Suppose Maria spins a hula hoop with a mass of 0.74 kg and a radius of 0.67 m around her waist. The rotation axis is perpendicular to the plane of the hoop, but approximately 0.45 m from the center of the hoop. (a) What is the rotational inertia of the hoop in this case? 0.45 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. kg. m² (b) If the hula hoop is rotating with an angular speed of 13.3 rad/s, what is its rotational kinetic energy? 0.74 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Jarrow_forwardOne end of a cord is fixed and a small 0.500-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.00 m, as shown in Figure P7.19. When angle = 20.0, the speed of the object is 8.00 m/s. At this instant, find the tension in the string, the tangential and radial components of acceleration and the total acceleration Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? Explain.arrow_forward
- Consider two objects with m 1>m 2 connected by a light string that passes over a pulley having a moment of inertia of I about its axis of rotation. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance 2h. Use the principle of conservation of energy to find the translational speeds of the objects as they pass each other.arrow_forwardA light, rigid rod is 68.5 cm long. Its top end is pivoted on a frictionless horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle?arrow_forwardA child’s toy consists of a small wedge that has an acute angle θ (as shown). The sloping side of the wedge is frictionless, and an object of mass m on it remains at constant height if the wedge is spun at a certain constant speed. The wedge is spun by rotating, as an axis, a vertical rod that is firmly attached to the wedge at the bottom end. Show that, when the object sits at rest at a point at distance L up along the wedge, the speed of the object must beυ = (gL sin θ)1/2.arrow_forward
- In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 3.50 m in diameter. The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. (a) At how many rpm must the disk turn to raise the elevator at 25.0 cm/s? (b) To start the elevator moving, it must be accelerated at 19g. What must be the angular acceleration of the disk, in rad/s2?arrow_forwardA block of mass m is placed on a rough surface that rotates at 15 rpm. If the body has a distance of 146 cm from the vertical rotation axis, how large must the friction coefficient be so that the body remains at rest?arrow_forwardA light string can support a stationary hanging load of 25.0 kg before breaking. An object of mass 3.00 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r =0.8 m, and the other end of the string is held fixed as shown in the figure. What range of speeds can the object have before the string breaks?arrow_forward
- George Washington Gale Ferris, Jr., a civil engineering graduate from Rensselaer Polytechnic Institute, built the original Ferris wheel for the 1893 World’s Columbian Exposition in Chicago.The wheel, an astounding engineering construction at the time, carried 36 wooden cars, each holding up to 60 passengers, around a circle 76 m in diameter.The cars were loaded 6 at a time, and once all 36 cars were full, the wheel made a complete rotation at constant angular speed in about 2 min. Estimate the amount of work that was required of the machinery to rotate the passengers alone.arrow_forwardA bicycle is turned upside down while its owner repairs a flat tire on the rear wheel. A friend spins the front wheel, of radius 0.408 m, and observes that drops of water fly off tangentially in an upward direction when the drops are at the same level as the center of the wheel. She measures the height reached by drops moving vertically (see figure below). A drop that breaks loose from the tire on one turn rises h = 54.3 cm above the tangent point. A drop that breaks loose on the next turn rises 51.0 cm above the tangent point. The height to which the drops rise decreases because the angular speed of the wheel decreases. From this information, determine the magnitude of the average angular acceleration of the wheel. rad/s2 harrow_forwardA bicycle is turned upside down while its owner repairs a flat tire on the rear wheel. A friend spins the front wheel, of radius 0.383 m, and observes that drops of water fly off tangentially in an upward direction when the drops are at the same level as the center of the wheel. She measures the height reached by drops moving vertically (see figure below). A drop that breaks loose from the tire on one turn rises h = 56.0 cm above the tangent point. A drop that breaks loose on the next turn rises 51.0 cm above the tangent point. The height to which the drops rise decreases because the angular speed of the wheel decreases. From this information, determine the magnitude of the average angular acceleration of the wheel. rad/s? v = 0 harrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Gravitational Force (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=pxp1Z91S5uQ;License: Standard YouTube License, CC-BY