PPT-Moment of Inertia

Type of moment of inertia Moment of inertia of Area Moment of inertia of mass Also known as second moment Why need to calculate the moment of Inertia To measures the effect of the cross sectional shape of a beam on the beam resistance to a bending moment. 5 of the textbook The moment of inertia is related to the rotation of an object about an axi s For a particle with mass the moment of inertia is given by mr where is the distance from the particle to the axis If the density function xy of a lamina The unit vectors 1 2 3 B e e e are fixed in the body and directed along a convenient set of axes pass ing through the mass center G The moments of inertia of the body about t hese axes are defined as 22 xx I y z dm 22 yy I x z dm 22 zz I x - Class 19. Today:. Rotational . Motion, Rotational Kinematics (some review of Ch.4). Newton’s 2. nd. Law of Rotation. Torque. Moment of Inertia. Centre of Mass. Gravitational Torque. Pre-class reading quiz on Chapter 12. PHYS . 2010. Nathalie Hoffmann. University of Utah. Rotational vs. translational (linear). Translational/Linear Motion. Rotational Motion. Position/Displacement. Angular position/displacement. Velocity. Learning Outcomes. All . pupils will be able to. . remember and understand. . the theory behind projectile motion.. Most . pupils will be able to. . apply. . the theory of projectile motion and angular motion to sporting . Conservation of rotational momentum. 1. Why does a wheel keep spinning. ?. Why . is a bicycle stable when it is moving, but falls over when it . stops?. Why is it difficult to change the orientation of the axis of a spinning wheel?. Conservation of rotational momentum. 1. Why does a wheel keep spinning. ?. Spinning ice skater . Video. . Why is a bicycle stable when it is moving, but falls over when it stops. ?. Why is it difficult to change the orientation of the axis of a spinning wheel?. and the Center of . Gravity (cont.). © 2015 Pearson Education, Inc.. Calculating the Position of the Center of Gravity. The torque due to gravity when the pivot is . at. the center of gravity is zero.. University of Michigan. Physics Department. Mechanics and Sound . Intro . Labs. Inclined Plane Experiment. Although it may seem daunting, rotational motion is fairly straightforward. In many ways it is analogous to the linear motion that you have studied previously. Rotational motion can be examined using the same principles of energy and momentum conservation that you have used previously. The equations that accompany these laws take a slightly different form, but at their root, they are based on the same physical principles. So begins your three part study of rotational motion which includes this lab, the rotating bar in . 11. KINE 3301. Biomechanics of Human Movement. Torque: Forces that cause rotation. The force F shown below is applied directly thru the center of mass of the object. The object will translate in the direction of the force.. Statics: Lecture 1. 05. th. Jan 2017. 2. Sr. No. Name. . Div. No. Hall. No. Timing. . 1. Dr. Poonam . Kumari. 1. L2. Tuesday: 4-5 PM. Wednesday: 3-4 PM. Thursday: 2-3 PM. 2. Dr. M. . Pandey. 3. … to change equilibrium states!. EXTENSION to ROTATIONS. Translation concepts:. Mass . Linear velocity. Linear momentum. Force. Impulse equation. Equivalent Rotation . concepts:. ??? (define it). ??? (define it). a = r. α. F = . mr. α. . Στ. = r . Σ. F . = . Σ. mr. 2. α. Moment of Inertia (. . I ) – sum of rotational inertia of an object. I = . Σ. mr. 2. . Στ. = I . α. Equation. Rotational Dynamics. Snehal Shetye, Rob . Mauck. Key players:. Rob . Mauck. (Director). Snehal Shetye (Technical Director). Ashley Rodriguez (Research Specialist). https://www.med.upenn.edu/pcmd/biomechanics.html. Submit project request form.