College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10, Problem 5CQ
The moment of inertia of a long rod spun around an axis through one end perpendicular to its length is ML2/3 Why is this moment of inertia greater than it would be if you spun a point mass M at the location of the center of mass of the rod (at L/2)? (That would be ML2/4.)
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Consider the system shown below where four point masses are connected to each other by massless rods. Two of the masses are ?=9kgm=9kg and the other two have the masses of ?=6kgM=6kg. If ?=1.4ma=1.4m, ?=0.5mb=0.5m and the system rotates about ?−z−axis, determine the moment of inertia of the system. Express your answer in units of kg⋅m2kg⋅m2 using one decimal place.
Lily is a 50 kg diver. At the instant of takeoff, her angular momentum about her longitudinal axis is 20 kgm2/s. Her radius of gyration about the longitudinal axis is 0.4 m at this instant. During the dive, Lily tucks and reduces her radius of gyration about the longitudinal axis to 0.2 m.
At takeoff, what is Lily’s moment of inertia about her longitudinal axis?
At takeoff, what is Lily’s angular velocity about her longitudinal axis?
After Lily tucks, what is her moment of inertia about her longitudinal axis?
After Lily tucks, what is her angular velocity about her longitudinal axis?
Three point objects with masses ?1=2.1 kg, ?2=2.9 kg, and ?3=1.7 kg are arranged in the configuration shown in the figure. The distance to mass ?1 is ?1=22 cm and the distance to mass ?3 is ?3=42 cm. The distances are measured from the axis ?.
What is the combined moment of inertia ?
for the three point objects about the axis ? ?
Chapter 10 Solutions
College Physics
Ch. 10 - Analogies exist between rotational and...Ch. 10 - Explain why centripetal acceleration changes the...Ch. 10 - In circular motion, a tangential acceleration can...Ch. 10 - Suppose a Piece of food is on the edge of a...Ch. 10 - The moment of inertia of a long rod spun around an...Ch. 10 - Why is the moment of inertia of a hoop that has a...Ch. 10 - Give an example in which anal forte exerts a large...Ch. 10 - While reducing the mass of a racing bike, the...Ch. 10 - A ball slides up a frictionless ramp. It is then...Ch. 10 - Describe the energy transformations involved when...
Ch. 10 - What energy transformations are involved when a...Ch. 10 - The Earth has more rotational kinetic energy now...Ch. 10 - When you start the engine of your car with the...Ch. 10 - Suppose a child walks from the outer edge of a...Ch. 10 - Suppose a child gets off a rotating...Ch. 10 - Helicopters have a small propeller on their tail...Ch. 10 - Whenever a helicopter has two sets of lifting...Ch. 10 - Describe how work is done by a skater pulling in...Ch. 10 - When there is a global heating trend on Earth, the...Ch. 10 - Nearly all conventional piston engines have...Ch. 10 - Jet turbines spin rapidly. They are designed to...Ch. 10 - An astronaut tightens a bolt on a satellite in...Ch. 10 - Competitive divers pull their limbs in and curl up...Ch. 10 - Draw a free body diagram to show how a diver gains...Ch. 10 - In terms of angular momentum, what is the...Ch. 10 - Describe different collisions—one in in which...Ch. 10 - Suppose an ice hockey puck strikes a hockey stick...Ch. 10 - While driving his motorcycle at highway speed, a...Ch. 10 - While driving his motorcycle at highway speed, a...Ch. 10 - Gyroscopes used in guidance systems to indicate...Ch. 10 - At its peak, a tornado is 60.0 m in diameter and...Ch. 10 - Integrated Concepts An ultracentrifuge accelerates...Ch. 10 - Integrated Concepts You have a grindstone (a disk)...Ch. 10 - Unreasonable Results You are told that a...Ch. 10 - With the aid of a string, a gyroscope is...Ch. 10 - Suppose a piece of dust finds itself on a CD. If...Ch. 10 - A gyroscope slows from an initial rate of 32.0...Ch. 10 - During a very quick stop, a car decelerates at...Ch. 10 - Everyday application: Suppose a yo-yo has a center...Ch. 10 - This problem considers additional aspects of...Ch. 10 - Calculate the moment of inertia of a skater given...Ch. 10 - The triceps muscle in the back of the upper arm...Ch. 10 - A soccer player extends her lower leg in a kicking...Ch. 10 - Suppose you exert a force of 180 N tangential to a...Ch. 10 - Consider the 12.0 kg motorcycle wheel shown in...Ch. 10 - Zorch, an archenemy of Superman, decides to slow...Ch. 10 - An automobile engine can produce 200 N m of...Ch. 10 - Starting with the formula for the moment of...Ch. 10 - Unreasonable Results A gymnast doing a forward...Ch. 10 - Unreasonable Results An advertisement claims that...Ch. 10 - This problem considers energy and work aspects of...Ch. 10 - What is the final velocity of a hoop that rolls...Ch. 10 - (a) Calculate the rotational kinetic energy of...Ch. 10 - Calculate the rotational kinetic energy in the...Ch. 10 - A baseball pitcher throws the ball in a motion...Ch. 10 - While punting a football, a kicker rotates his leg...Ch. 10 - A bus contains a 1500 kg flywheel (a disk that has...Ch. 10 - A ball with an initial velocity of 8.00 m/s rolls...Ch. 10 - While exercising in a fitness center, a man lies...Ch. 10 - To develop muscle tone, a woman lifts a 2.00-kg...Ch. 10 - Consider two cylinders that start down identical...Ch. 10 - What is the moment of inertia of an object that...Ch. 10 - Suppose a 200-kg motorcycle has two wheels like,...Ch. 10 - In softball, the pitcher throws with the arm fully...Ch. 10 - Construct Your Own Problem Consider the work done...Ch. 10 - (a) Calculate the angular momentum of the Earth in...Ch. 10 - (a) What is the angular momentum of the Moon in...Ch. 10 - Suppose you start an antique car by exerting a...Ch. 10 - A playground merry-go-round has a mass of 120 kg...Ch. 10 - Three children are riding on the edge of a...Ch. 10 - (a) Calculate the angular momentum of an ice...Ch. 10 - Consider the Earth-Moon system. Construct a...Ch. 10 - Repeat Example 10.15 in which the disk strikes and...Ch. 10 - Repeat Example 10.15 in which the disk originally...Ch. 10 - Twin skaters approach one another as shown in...Ch. 10 - Suppose a 0.250-kg ball is thrown at 15.0 m/s to a...Ch. 10 - Repeat Example 10.15 in which the stick is free to...Ch. 10 - Integrated Concepts The axis of Earth makes a...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The circuits at right contain identical batteries, bulbs, and unknown identical elements labeled X. How do the ...
Tutorials in Introductory Physics
The electromagnetic spectrum of light is often arranged in terms of frequency. Which one of the following has t...
Lecture- Tutorials for Introductory Astronomy
The proton is a composite particle composed of three quarks, all of which are either up quarks (u; charge +23e)...
Essential University Physics: Volume 2 (3rd Edition)
Q8.1 In splitting logs with a hammer and wedge, is a heavy hammer more effective than a lighter hammer? Why?
University Physics with Modern Physics (14th Edition)
66. Astronauts use a centrifuge to simulate the acceleration of a rocket launch. The centrifuge takes 30 s to...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Knowledge Booster
Similar questions
- A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.arrow_forwardThe moment of inertia of a long rod spun around an axis through one end perpendicular to its length is mL2/3 . Why is this moment of inertia greater than it would be if you spun a point mass m at the location of the center of mass of the rod (at L/2 ) (that would be mL2/4 )?arrow_forwardA long, thin rod of mass m = 5.00 kg and length = 1.20 m rotates around an axis perpendicular to the rod with an angularspeed of 3.00 rad/s. a. What is the angular momentum of therod if the axis passes through the rods midpoint? b. What is theangular momentum of the rod if the axis passes through a pointhalfway between its midpoint and its end?arrow_forward
- A propeller consists of two blades each 3.0 m in length and mass 120 kg each. The propeller can be approximated by a single rod rotating about its center of mass. The propeller starts from rest and rotates up to 1200 rpm in 30 seconds at a constant rate. (a) What is the angular momentum of the propeller at t=10s ; t=20s ? (b) What is the torque on the propeller?arrow_forwardThe velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?arrow_forwardThree point objects with masses ?1=2.6 kg, ?2=4.0 kg,and ?3=0.90 kg are arranged in the configuration shown in the figure. The distance to mass ?1 is ?1=25 cm and the distance to mass ?3 is ?3=41 cm. The distances are measured from the axis ?. What is the combined moment of inertia ? for the three point objects about the axis ? ?arrow_forward
- A skater is spinning at 1 rev/s with her arms outstretched so that her moment of inertia is2.4 kg.m2 . She then pulls her arms to her sides which reduces her moment of Inertia to 1.2 kg.m2. What is her new angular velocity?arrow_forwardSUBJECT : GENERAL PHYSICS 1 PS : GIVE ME A SOLUTION WHY THE ANSWER IS THAT// 7. Find the angular momentum of a 5-kg object that can complete one revolution around a circular path, with a radius of 10 meters, in 15 seconds. A. 904.22 kgm^2/s B. 750 kgm^2/s C. 200/(3pi) kgm^2/s D. 209.44 kgm^2/s 8. How will the value of angular momentum change if the mass and angular velocity is maintained but the radius of the circular path is reduced to half the original? A. Angular momentum will decrease by a factor of four. B. Angular momentum will be doubled. C. Angular momentum will be halved. D. Angular momentum will increase by a factor of four.arrow_forwardA person sits in a chair that is free to rotate without friction. Intheir hands, they hold two masses: Mass m1 = 5.0 kg a distance r1 = 0.35m from their body and mass m2 = 3.0 kg a distance r2 = 0.75 m from their body. a. What is the moment of inertia of the person and twomasses about a vertical axis that goes through the person? Hint: because of the choice of axis, we can ignore Iperson.arrow_forward
- An ice dancer with her arms stretched out starts into a spin with an angular velocity of 2.6 rad/s. Her moment of inertia withher arms stretched out is 2.77 kg·m2. What is herangular velocity when she pulls in her arms to make her moment of inertia 1.62 kg·m2? (Answer in J)arrow_forwardThe figure shows the Atwood tool with a disk-shaped pulley given as moment of inertia I. Here m = 2 kg of pulley mass and R0 = 20 pulley radius. The masses M1 = 1 kg and M2 = 3 kg, which were initially at rest, are released at time t = 0. The z-axis is defined towards the outside of the screen. a) What is the magnitude of the acceleration of the masses m / s ^ 2? a) 10/3 b)4 c)5 d)2 e)20/3arrow_forwardIf an object is thrown straight up and reaches a height of 20 m, what was the initial speed of the object? An object of 2 kg is moving in a circle of radius 4 m and speed 0.5 m/s. What is the angular momentum of the object?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill