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1443-501 Spring 2002 Lecture #13

1443-501 Spring 2002 Lecture #13 Dr. Jae hoon Yu 1. Rotational Energy 2. Computation of Moments of Inertia 3. Parallel-axis Theorem 4. Torque Angular Acceleration 5.

Rotation

The moment of inertia of such a rod about an axis through the rod and perpendicular ... For a hoop (ring) of mass m and radius R that is rolling without slipping ...

Ladybugs on a Rotating Disk

Moment of Inertia and Center of Mass for Point Particles . B. all A, of mass ... What is the acceleration of the center of the hoop? Express the ...

MOMENT OF INERTIA

7/07 2 Theory The moment of inertia of the three objects are found to be 2) (5 2 MR I center sphere ... Smooth incline, photogates, meter stick, plumb bob, calipers, hoop, sphere and ...

Deriving Moments of Inertia

Deriving moment of inertia from kinetic energy

Systems Engineering of the Baseball Bat

A. T. Bahill, The ideal moment of inertia for a baseball or softball bat, IEEE ... antinode of the hoop node; maximum energy transfer area ; maximum ...

Physics 2010 Laboratory 4: Rotational Dynamics

1 of 1 1 Physics 2010 Laboratory 4: Rotational Dynamics NAME _____ Section Day (circle): M Tu W Th F Section Time: 8a 10a 12p 2p 4p TA Name ...

Chapter 10 (Read Please)

Example 10.4 Moment of Inertia of a Uniform Thin Hoop . Since this is a thin hoop, all mass elements are the same distance (R) from the center

Rotational Inertia Kinetic Energy

Moment of Inertia of a Hoop . All of the mass of a hoop is at the same distance R from the center of rotation, so its moment of inertia is the same as that of a point ...

Conceptual Questions: Rotational Motion; Torque, Moment of Inertia ...

Physics 4A Conceptual Questions: Rotational Motion; Torque, Moment of Inertia, Angular Momentum 1. The name of the quantity which is greater for a long 100 pound barbell ...

Static Equations

Finding the moment of inertia . Flexural Stress Bending Moment Stress ... Cylindrical Vessel a axial or longitudinal stress h hoop stress. P internal ...

Physics 106P: Lecture 21 Notes

Physics 211: Lecture 17, Pg 2 Rotation Rotation z Up until now we have gracefully avoided dealing with the rotation of objects. We have studied objects that slide, not roll.

Rotation

Find the moment of inertia of the system about an axis ** * through the center of the square ... If the free end of the string is held in place and the hoop is released from ...

DEVICE

DEVICE Moment of Inertia Using Cylinders TOPIC Rotational Mechanics THEORETICAL BACKGROUND The moment of inertia of an object is a measure of how the mass of the rotating ...

131.128.120.24

A hoop rotates about an axis through its center with an angular velocity ... The moment of inertia of a 10.0kg wheel about its axle is mR 2. It starts from rest ...

Physics 211

Moment of Inertia Physics 211 Lecture 14, Slide * ... Bigger when the mass is further out In both cases shown below a hula hoop with ...

Rotation

1 Rotation YF9.25 A flywheel with a radius of 0.300 m starts from rest and accelerates with a constant angular acceleration of 0.600 rad/s. Compute the magnitude of the ...

faculty.tnstate.edu

The boy has a smaller moment of inertia, but it is impossible to say exactly how much smaller. 6) A disk and a hoop of the same mass and radius are released at the ...

CP7e: Ch. 8 Problems

I is the moment of inertia of each segment about its center of gravity. Determine the ... In a circus performance, a large 5.0-kg hoop of radius 3.0 m rolls without ...

CT12-1

Assume that all the mass of the wheels is concentrated in the rims so that the moment of inertia of each is of the form I = M R 2 (hoop formula).

POP4e: Ch. 1 Problems

Assuming a uniform, solid disk, its moment of inertia about a perpendicular axis through ... A solid disk and a hoop are simultaneously released from rest at the top of ...

Ph191M - Moment of Inertia Exercises

Ph191M - Moment of Inertia Exercises 1. A solid sphere of radius 10.0 cm is made of copper. What is its moment of inertia about an axis through the centre of mass?

PowerPoint Presentation

I is moment of inertia of the body about the axis of rotation. SI unit of I: ... (a) Solid cylinder = 0, = R (b) Hoop = = R

College Physics

Example: Moment of Inertia of a Uniform Ring . Image the hoop is divided into a number of small segments, m 1 These segments are equidistant from the axis

Ch 09

Table 9.1 indicates that the moment of inertia of a hoop is , while the moment of inertia of a disk is . The net external torques acting on the hoop and the disk are:

Chapter 8: Rotational Motion of Solid Objects

This must be due to A. an increase in the moment of inertia. B. an increase in the mass. C ... Three different bodies - a uniform sphere, a uniform disk, and a hoop - all ...

Chapter 10. Rotation

One type of blade has a moment of inertia of 1.4110 2 kg m2. What net torque (assumed ... A rigid sculpture consists of a thin hoop (of mass m and radius R = 0.15 m ...

Ph191M - Moment of Inertia Exercises

What is the moment of inertia about the two axes shown in the diagram? 6. A thick hoop is spun about the axis shown in the diagram, and has a moment of inertia of 10900 g cm ...

Unit 6 Rotational Motion Workbook

EGPhysics AP Physics C Unit 6 - Rotational Motion 10 y x R O Moment of Inertia of Non-Particles 1. Spinning Uniform Hoop Find the moment of inertia 18 of a uniform hoop of mass M ...

Lecture 14 - Todays Concepts: - Rotational Motion Moment of Inertia

... 14, Slide 1. Physics 211. Lecture 14. Todays Concepts: Rotational Motion. Moment of Inertia ... In Case 1 the plane of the hoop is parallel to the floor and in Case 2 it is ...

Moment of Inertia

Experiment 109-4 Moment of Inertia Introduction The rotational equivalent of Newtons Second Law Fma = is I = in which is the torque, I is the moment of inertia ...

MOMENT OF INERTIA

7/07 1 MOMENT OF INERTIA Saddleback College Physics Department Purpose Given a hollow cylinder and either a solid sphere or a solid cylinder, measure the time it ...

1443-501 Spring 2002 Lecture #19

Example 10.5: Find the moment of inertia of a uniform hoop of mass M and radius R about an axis perpendicular to the plane of the hoop and passing through its center.

www.cainephysics.com

The moment of inertia of the pair of cylinders is I = 45 kgm 2 Also r 1 = 0.5 meter, r 2 = 1.5 ... The rod is now glued to a thin hoop of mass M and radius l/2 to form a rigid ...

Rigid Body Dynamics chapter 10 continues

Moment of Inertia of a Uniform Thin Hoop . Since this is a thin hoop, all mass elements are the same distance from the center

Parallel axis theorem

Since the moment of inertia of an ordinary object involves a continuous distribution of ... Sphere on incline. Hoop and cylinder on incline. Kinetic Energy of ...

Inertia and Acceleration

Which of them has the largest moment of inertia when they rotate about axis shown? A. The hoop. B. The cylinder. C. The sphere D. All have the same moment of inertia 0 5 10 15 20 25 ...

Lab M4: The Tortional Pendulum and Moment of Inertia

Lab M4: The Torsional Pendulum and Moment of Inertia Lab M4: The Tortional Pendulum and Moment of Inertia

What Is Rotational Inertia?

moment of inertia derivation.ppt. What Is Rotational Inertia? The term is called the bodys moment of inertia about the central axis. v i =r i!

ROTATIONAL MOTION Summer Session II 2009

Calculate the moment of inertia about a central axis (in units of kg m 2) for: a) a solid ... and a radius of 5.0 cm rotating with an angular speed of 1.5 rad/sec. d) a hoop ...