Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6, Problem 28AP
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 solution
Students have asked these similar questions
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 what angular speed will the string break?
A light rigid rod is 77.0cm long. Its top end is pivoted on a low-friction horizontal axel. The rod hangs straight down at rest, with a small massive ball attached to its end. You stike 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?
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.
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 - In the Bohr model of the hydrogen atom, an...Ch. 6 - Whenever two Apollo astronauts were on the surface...Ch. 6 - A car initially traveling eastward turns north by...Ch. 6 - A curve in a road forms part of a horizontal...Ch. 6 - In a cyclotron (one type of particle accelerator),...Ch. 6 - Why is the following situation impossible? The...
Ch. 6 - You are working during your summer break as an...Ch. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - A 40.0-kg child swings in a swing supported by two...Ch. 6 - Prob. 11PCh. 6 - One end of a cord is fixed and a small 0.500-kg...Ch. 6 - A roller coaster at the Six Flags Great America...Ch. 6 - An object of mass m = 5.00 kg, attached to a...Ch. 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 - The mass of a sports car is 1 200 kg. The shape of...Ch. 6 - Review. A window washer pulls a rubber squeegee...Ch. 6 - A small piece of Styrofoam packing material is...Ch. 6 - Prob. 21PCh. 6 - Assume the resistive force acting on a speed...Ch. 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 - 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 - The pilot of an airplane executes a loop-the-loop...Ch. 6 - A basin surrounding a drain has the shape of a...Ch. 6 - Review. While learning to drive, you arc in a 1...Ch. 6 - A truck is moving with constant acceleration a up...Ch. 6 - Prob. 37APCh. 6 - A puck of mass m1 is tied to a string and allowed...Ch. 6 - Prob. 39APCh. 6 - Members of a skydiving club were given the...Ch. 6 - A car rounds a banked curve as discussed in...Ch. 6 - Prob. 42APCh. 6 - Review. A piece of putty is initially located at...Ch. 6 - A model airplane of mass 0.750 kg flies with a...Ch. 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. 49CPCh. 6 - You have a great job working at a major league...
Additional Science Textbook Solutions
Find more solutions based on key concepts
1. Rub your hands together vigorously. What happens? Discuss the energy transfers and transformations that take...
College Physics: A Strategic Approach (3rd Edition)
Separate the list P,F,V,,T,a,m,L,t, and V into intensive properties, extensive properties, and nonproperties.
Fundamentals Of Thermodynamics
Give the IUPAC name for each compound.
Organic Chemistry
Choose the best answer to each of the following. Explain your reasoning. If Earth were twice as far as it actua...
Cosmic Perspective Fundamentals
Q1. What is the empirical formula of a compound with the molecular formula
Chemistry: A Molecular Approach (4th Edition)
An obese 55-year-old woman consults her physician about minor chest pains during exercise. Explain the physicia...
Biology: Life on Earth with Physiology (11th Edition)
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
- A string under a tension of 59.0 N is used to whirl a rock in a hortzontal circle of radius 2.45 m at a speed of 20.1 m/s on a frictionless surface as shown in the figure below. As the string is pulled in, the speed of the rock increases. When the string on the table is 1.00 m long and the speed of the rock is 50.5 m/s, the string breaks. What is the breaking strength, in newtons, of the string? Need Help?arrow_forwardA 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?arrow_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 0.72 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?arrow_forward
- Initially, a small 4.0-kg rock is whirling at the end of a very thin string in a circular path of radius 1.25 m on a horizontal frictionless surface, as shown in the figure. The initial tangential speed of the rock was 8.0 m/s. The string has been slowly winding around a vertical rod, and a few seconds later the length of the string has shortened to 0.25 m. What is the instantaneous speed of the mass at the moment the string reaches a length of 0.25 m?arrow_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? 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_forward
- One 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_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_forwardOne method of pitching a softball is called the "windmill" delivery method, in which the pitcher's arm rotates through approximately 360° in a vertical plane before the 198 gram ball is released at the lowest point of the circular motion. An experienced pitcher can throw a ball with a speed of 87.5 mi/h. Assume that the angular acceleration is uniform throughout the pitching motion, and take the distance between the softball and the shoulder joint to be 71.7 cm. (a) Determine the angular speed of the arm in rev/s at the instant of release. rev/s (b) Find the value of the angular acceleration in rev/s? and the radial and tangential acceleration of the ball just before it is released. rev/s2 ac |m/s2 at m/s² (c) Determine the force exerted on the ball by the pitcher's hand (both radial and tangential components) just before it is released. Fr N Ft Narrow_forward
- A 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_forwardIn 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction 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 Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College 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