Problem 4: 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. 2M Part (a) Calculate the moment of inertia ICM of the disk (without the point mass) with respect to the central axis of the disk, in terms of M and R Expression : ICM = Select from f variables below to write your expression. Note that all variat s may not be required. a, ß, 0, a, d. g, h, i, j, k, M, P, R, S, t Part (b) Calculate the moment of inertia Ip of the disk (without the point mass) with respect to point P, in terms of M and R. Expression : Ip= Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, a, d, g, h, i, j, k, M, P, R, S, t Part (c) Calculate the total moment of inertia Ir of the disk with the point mass with respect to point P, in terms of M and R. Expression : I7 =

Problem 4: 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. 2M Part (a) Calculate the moment of inertia ICM of the disk (without the point mass) with respect to the central axis of the disk, in terms of M and R Expression : ICM = Select from f variables below to write your expression. Note that all variat s may not be required. a, ß, 0, a, d. g, h, i, j, k, M, P, R, S, t Part (b) Calculate the moment of inertia Ip of the disk (without the point mass) with respect to point P, in terms of M and R. Expression : Ip= Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, a, d, g, h, i, j, k, M, P, R, S, t Part (c) Calculate the total moment of inertia Ir of the disk with the point mass with respect to point P, in terms of M and R. Expression : I7 =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 68PQ: Lara is running just outside the circumference of a carousel, looking for her favorite horse to...

See similar textbooks

Similar questions

If the angular acceleration of a rigid body is zero, what is the functional form of the angular velocity?
Given the disk and density in Problem 11, derive an expression for the rotational inertia of this disk around an axis at theedge of the disk and perpendicular to the disks surface.
A uniform rod of mass and length is held vertically by two strings of negligible mass, as shown below. (a) Immediately after the string is cut, what is the linear acceleration of the free end of the stick? (b) Of the middle of the stick?
Suppose the particles in the preceding problem have masses m1=0.10kg , m2=0.20kg , m3=0.30kg , m4=0.40kg . The velocities of the particles are . (a) Calculate the angular momentum of each particle about the origin. (b) What is the total angular momentum of the tour-particle system about the origin?
Lara is running just outside the circumference of a carousel, looking for her favorite horse to ride, with a constant angular speed of 1.00 rad/s. Just as she spots the horse, one-fourth of the circumference ahead of her, the carousel begins to move, accelerating from rest at 0.050 rad/s2. a. Taking the time when the carousel begins to move as t = 0, when will Lara catch up to the horse? b. Lara mistakenly passes the horse and keeps running at constant angular speed. If the carousel continues to accelerate at the same rate, when will the horse draw even with Lara again?
A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular cylinder of mass 1.0 kg with inner radius 20 cm and outer radius 30 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10 rev/s. (a) What is the moment of inertia of the system? (b) What is its rotational kinetic energy?
A system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with respect to each other. The masses and distances to the axis of the point particles are m1=0.1kg , r1=0.2m , m2=0.05kg , r2=0.4m , m3=0.5kg , r3=0.01m . (a) What is the moment of inertia of the system? (b) What is the rotational kinetic energy of the system?
Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about its axis through its center and is perpendicular to the page. The cylinder has a mass of 0.5 kg and a radius of 10 cm, and is initially at rest. (a) What is the angular velocity of the system after the collision? (b) How much kinetic energy is lost in the collision?
A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.
Using the parallel axis theorem, what is the moment of inertia of the rod of mass m about the axis shown below?
A uniform rod of length L and mass M is held vertically with one end resting on the floor as shown below. When the rod is released, it rotates around its lower end until it hits the floor. Assuming the lower end of the rod does not slip, what is the linear velocity of the upper end when is hits the floor?
A thin stick of mass 0.2 kg and length L=0.5m is attached to the rim of a metal disk of mass M=2.0kg and radius R=0.3m . The stick is free to rotate around a horizontal axis through its other end (see the following figure). (a) If the combinatin is related with the stick horizontal, what is the speed of the center of the disk when the stick is vertical? (b) What is the acceleration fo the center of the disk at the stick is released? (c) At the instant the stick passes through the vertical?