Question
100%

A uniform flat disk of radius R and mass 2M is pivoted at point P. A point mass of 1/2 M is attached to the edge of the disk. Calculate the total moment of inertia IT of the disk with the point mass with respect to point P, in terms of M and R

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
Not helpful? See similar books
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Dynamics Of Rigid Bodies. 11.4P
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Physics Q&A

Find answers to questions asked by students like you.

Q: Show that the moment of inertia of the solid about the z-axis, I,, is given by the formula I, =M,…

A: Click to see the answer

Q: A solid cylinder of radius R rolls without slipping on a horizontal plane. The velocity of its CM is…

A: Click to see the answer

Q: If the angular acceleration of a rigid body is zero, what is the functional form of the angular…

A: Write the expression for the relation between the angular acceleration and the angular velocity of a…

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius r =…

A: Given values: rh=0.262 m m = 4.32 kg  (hoop) m = 9.09 kg (rod) td=6.51 cm = 0.0651 m density= 7370…

Q: Three small blocks, each with mass m, are clamped at the ends and at the center of a rod of length L…

A: mass of three blocks = m  length = L

Q: Consider a hollow cylinder of uniform mass density ρ=7.5 kg/L with length L= 6m , inner radius R1=…

A: Click to see the answer

Q: A uniform solid sphere has mass M and radius R.  If these are changed to 4M and 4R, by what factor…

A: The moment of inertia of the sphere is  I = 25 mr2 where,  m is the mass and r is the radius.

Q: A uniform flat disk of radius R and mass 2M is pivoted at point P. A point mass of 1/2 M is attached…

A: Click to see the answer

Q: A ring with moment of inertia mr2 and a sphere with moment of inertia 2/5mr2 have the same mass and…

A: Option A. 0.7

Q: in an experiment on rotation. If the rod is nailed at a distance of (1/3)L from one of its ends and…

A: moment of inertia I = mr2

Q: The uniform thin rod in the figure below has mass M = 5.00 kg and length L 3D 1.59 m and is free to…

A: Click to see the answer

Q: A thin uniform rod of mass M and length L is nailed to the tabletop in an experiment on rotation. If…

A: Click to see the answer

Q: Four identical spheres of masses 2.0 kg each and radius of 0.25 m are situat at the four corners of…

A: Click to see the answer

Q: A thin uniform rod of mass M and length L is nailed to the tabletop in an experiment on rotation. If…

A: Click to see the answer

Q: ) A rigid, massless rod has three particles with equal masses attached to it as shown in Figure. The…

A: Click to see the answer

Q: The moment of inertia about a diameter of a solid sphere of constantdensity and radius a is…

A: Given data IC=25MR2

Q: A nonrotating cylindrical disk of moment of inertia, I, is dropped onto an identical disk rotating…

A: Given data The moment of inertia of the cylindrical disk is I. The angular speed of the disk is…

Q: A nonrotating cylindrical disk of moment of inertia, I, is dropped onto an identical disk rotating…

A: The given values are, ω1,i=0ω2,i=10 rad/sI1=I2=I

Q: In the adjacent figure, an octagon of a circular crust of diameter b find the moment of inertia…

A: Click to see the answer

Q: Consider a 10 kg solid cylindrical drum with radius 1 m rotating about its cylindrical axis under…

A: It is given that,  m=10 kgr=1 mM=30 kg

Q: A system consisting of 3 particles of m = 1.2 kg each placed at each of the 3 corners of a triangle…

A: Click to see the answer

Q: Similar solid hemispheres, each with a mass of M and a radius of R, whose inertia moment when…

A: Click to see the answer

Q: Consider a 10 kg solid cylindrical drum with radius 1 m rotating about its cylindrical axis under…

A: Click to see the answer

Q: A uniform rod with mass M is positioned such that the left end is at x = 0 and the right end is at x…

A: The moment of inertia about the center of mass is,

Q: find the moment of inertia of a uniform rod of mass m and length 2a about a rim passing through an…

A: Click to see the answer

Q: Calculate the moment of inertia of a flat chapara of mass M, in the shape of a triangle.isosceles of…

A: Moment of inertial of a body. dI = X²dA.

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh =…

A: Given : Radius of hoop (rh) = 0.421 m Mass of hoop (m) = 5.08 kg Mass of rods (M) = 9.09 kg…

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius = 0.156…

A: The moment of inertia of the old wheel will be the sum of the moments of inertia of the hoop and the…

Q: If M = 8 kg, L = 2 m, and the mass of each connecting rod shown is negligible, what is the moment of…

A: Click to see the answer

Q: Consider a hollow drainage concrete cylinder of uniform mass density of 2,400 kg/m3 with lengthL=…

A: Click to see the answer

Q: A disk with rotational inertia of I = 7.3 kg.m² and radius r = 32 cm, is initially at rest, but is…

A: Click to see the answer

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius…

A: The moment of inertia of the current wheel is given by,

Q: A solid cylinder with a radius of 4.0 cm has the same mass as a solid sphere of radius R. If the…

A: The moment of inertia of the solid cylinder is given by I1=12MR2 The moment of inertia of the solid…

Q: A thin hollow cylinder rolls without slipping from an inclined plane forming an angle 0 = 30° with…

A: Click to see the answer

Q: A thin hollow cylinder rolls without slipping from an inclined plane forming an angle 0 = 30° with…

A: Click to see the answer

Q: Why is the moment of inertia of a hoop that has a mass M and a radius R greater than the moment of…

A: The moment of inertia depending upon the redistribution of mass about the rotational axis.

Q: Calculate the moment of inertia for a solid cylinder with a mass of 100g and a radius of 4.0 cm.

A: Click to see the answer

Q: A rolling wheel of diameter of 68 cm slows down uniformly from 8.4 m/s to rest over a distance of…

A: Click to see the answer

Q: A pair of constant forces of magnitude F=15.9 N is applied to opposite sides of the axle of a top,…

A: Write the equation for torque on a rotating object τ = Iα  FL = Iα Here, L is the moment arm. In the…

Q: A hula hoop (which can be modeled as a solid hoop) rolls without slipping across the floor.…

A: Given , Translation Kinetic energy KET = 2.42 J   We know the expression for Translation Kinetic…

Q: A uniform solid 5.25-kg cylinder is released from rest and rolls without slipping down a plane that…

A: Click to see the answer

Knowledge Booster
Physics
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
    Recommended textbooks for you
  • 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
    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
    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
  • 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
    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
    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