Moment of inertia
Check all that apply.
linear speed
linear acceleration
angular speed
angular acceleration
total mass
shape and density of the object
location of the axis of rotation
Homework Answers
On which of the following does the moment of inertia of an object depend? Check all that apply.
Part A On which of the following does the moment of inertia of an object depend? Check all that apply. linear speed linear acceleration angular speed angular acceleration total mass shape and density of the object location of the axis of rotationTo understand the definition and the meaning of moment of inertia; to be able to calculate the moments of inertia for a group of particles: to relate moment of inertia to kinetic energy .
Which of the following statements is false? The moment of inertia of an object depends on...
Which of the following statements is false? The moment of inertia of an object depends on the location of its axis of rotation The moment of inertia of an object depends on the angular acceleration of the object as it rotates An object can continue to rotate in the absence of torque An applied net torque may reduce the angular speed of an object Of the particles that make up an object, the particle with the smallest mass may contribute...
1. A rigid object with moment of inertia 0.4 kg mº is spinning with angular speed...
1. A rigid object with moment of inertia 0.4 kg mº is spinning with angular speed of 0.2 rad/s around a fixed axis. A constant torque of 0.6 Nm is applied that increases the rotation speed of the object (no other force is present). (i) Calculate the angular acceleration of the object. (ii) Calculate the angular speed of the object at t = 4 s. (iii) Calculate the angle spanned by the object from 0 s to 4 s.
TASK-2 (20 MARKS) The mass moment of inertia with respect to an axis is defined as...
TASK-2 (20 MARKS) The mass moment of inertia with respect to an axis is defined as the product of the mass times the square of the distance from the axis. It is a measure of the resistance of the body to angular acceleration about a given axis. It determines the torque required to rotate the body about an axis with unit angular acceleration. Hence it plays an important role in the kinetics of a body during rotation about an axis....
Lab 8 Assignment: Moment of Inertia 1) Moment of Inertia for Different Systems The resistance to...
Lab 8 Assignment: Moment of Inertia 1) Moment of Inertia for Different Systems The resistance to rotational motion change is more involved than for linear motion because it not only depends on what the mass is, but also on how that mass is distributed about the axis of rotation. The farther away from the axis the mass is distributed, the greater the moment of inertia. Using this simple definition, for each of the following pairs of objects, determine which of...
10. A body rotating at the angular speed of 20 rad/s slows down to an angular...
10. A body rotating at the angular speed of 20 rad/s slows down to an angular spee seconds. What is the average angular acceleration? 11. A body is rotating with an angular acceleration of 2 rad/s What is the linear acceleration of a point in this body that is 2.1 m from the axis of rotation? 12. Two masses, each of mass M, are separated by a distance D. a) what is the moment of inertia, if the axis of...
One simple way to measure the moment of inertia of an irregular object is shown in...
One simple way to measure the moment of inertia of an irregular object is shown in the diagram. The object is mounted on a frictionless axis. A light string is wrapped around the object, passes over a light pulley (so it has negligible moment of inertia itself), and then connected to mass M = 40.6 kg. The system is released from rest. After mass M has fallen distance 4.05 m it is moving 2.67 m/s and the object has reached...
2) Moment of Inertia for Multiple Objects We have loosely defined the moment of inertia as...
2) Moment of Inertia for Multiple Objects We have loosely defined the moment of inertia as the difficulty or resistance encountered when trying to change an object's rotational motion. What if we were trying to rotation a combination of objects? a. Suppose you have a very light cloth pouch, and you place an apple of mass M=200 grams in it. You tighten up the satchel and start to swing it around, with the string in the satchel making a length...
a. The moment of inertia of the reaction wheels has a value RI and the moment...
a. The moment of inertia of the reaction wheels has a value RI and the moment of inertia of the telescope about its symmetry axis, and about an axis perpendicular to its symmetry axis is represented by Iz and Ix , respectively. Find an expression for the final speed of the appropriate reaction wheel wRf to cause the telescope to change its direction at a rate of wt for a nominal (i.e. idling) rotational speed of the flywheels of wRi...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What is the volume element dV of a sphere? b) Assume a constant density p MIV, calculate the moment of inertia, remember that r is measured from the rotation axis for each volume element Use the volume of a sphere to get a solution that only depends on the mass M and radius R of the sphere. c) 2) Spinning DVD On a DVD, data...
Which of the following statements is false? The moment of inertia of an object depends on the location of its axis of rotation The moment of inertia of an object depends on the angular acceleration of the object as it rotates An object can continue to rotate in the absence of torque An applied net torque may reduce the angular speed of an object Of the particles that make up an object, the particle with the smallest mass may contribute...
1. A rigid object with moment of inertia 0.4 kg mº is spinning with angular speed of 0.2 rad/s around a fixed axis. A constant torque of 0.6 Nm is applied that increases the rotation speed of the object (no other force is present). (i) Calculate the angular acceleration of the object. (ii) Calculate the angular speed of the object at t = 4 s. (iii) Calculate the angle spanned by the object from 0 s to 4 s.
TASK-2 (20 MARKS) The mass moment of inertia with respect to an axis is defined as the product of the mass times the square of the distance from the axis. It is a measure of the resistance of the body to angular acceleration about a given axis. It determines the torque required to rotate the body about an axis with unit angular acceleration. Hence it plays an important role in the kinetics of a body during rotation about an axis....
Lab 8 Assignment: Moment of Inertia 1) Moment of Inertia for Different Systems The resistance to rotational motion change is more involved than for linear motion because it not only depends on what the mass is, but also on how that mass is distributed about the axis of rotation. The farther away from the axis the mass is distributed, the greater the moment of inertia. Using this simple definition, for each of the following pairs of objects, determine which of...
10. A body rotating at the angular speed of 20 rad/s slows down to an angular spee seconds. What is the average angular acceleration? 11. A body is rotating with an angular acceleration of 2 rad/s What is the linear acceleration of a point in this body that is 2.1 m from the axis of rotation? 12. Two masses, each of mass M, are separated by a distance D. a) what is the moment of inertia, if the axis of...
2) Moment of Inertia for Multiple Objects We have loosely defined the moment of inertia as the difficulty or resistance encountered when trying to change an object's rotational motion. What if we were trying to rotation a combination of objects? a. Suppose you have a very light cloth pouch, and you place an apple of mass M=200 grams in it. You tighten up the satchel and start to swing it around, with the string in the satchel making a length...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What is the volume element dV of a sphere? b) Assume a constant density p MIV, calculate the moment of inertia, remember that r is measured from the rotation axis for each volume element Use the volume of a sphere to get a solution that only depends on the mass M and radius R of the sphere. c) 2) Spinning DVD On a DVD, data...
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