PDF-M Lab M The Torsional Pendulum and Moment of Inertia Introduction A torsional pendulum

1 Lab M4 The Torsional Pendulum and Moment of Inertia Introduction A torsional pendulum or torsional oscillator consists of a disklike m ss suspended from a thin rod or wire W en the m ss is twisted about the axi. 57479 Also defined as the capacity of a cross section to resist bending 57479 It must be specified with respect to a chosen axis of rotation 57479 It is usually quantified in m or kgm 57364574955748357477574855734757361574895749457479573475747557476 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. Outline. Oscillators. Inverter-Based Oscillator. Introduction of Phase Noise Simulation. LC-Tank Based Oscillator. Laplace Analysis. Circuit Implementation. Quality Factor Analysis. Inverter-Based Oscillator. Structural Member Properties. Moment of Inertia (I). is a mathematical property of a cross section (measured in inches. 4. ) that gives important information about how that cross-sectional area is distributed about a centroidal axis.. Resonance. The pendulum. Springs. Harmonic motion. Mechanical waves. Sound waves. Musical instruments. Tacoma Narrows Bridge. November 7, 1940. https://www.youtube.com/watch?v=nFzu6CNtqec. 1. Tacoma Narrows Bridge Collapse. 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?. Structural Member Properties. Moment of Inertia (I). is a mathematical property of a cross section (measured in inches. 4. ) that gives important information about how that cross-sectional area is distributed about a centroidal axis.. 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?. Stream Ecology. 1/22/2009. Stream Load Classifications. Bed load. : Sediments moving predominantly in contact with or close to the stream bed.. Suspended load. : Sediments that move primarily suspended in fluid flow but may interact with bed load and is comprised primarily of silts and clays and sometimes sand. Suspended load has a continual exchange between sediment in fluid flow and on the bed as it is constantly being entrained from the bed and suspended while heavier particles settle out from the flow to the bed. . 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. 1. and Ground Cationic states of . p. -. fluorotoluene. Adrian Gardner. , William Tuttle, Laura Whalley, Andrew Claydon, . Joseph Carter . and Timothy . Wright. International Symposium on Molecular Spectroscopy, 19. Area moment of inertia. dA. dA. is area of element. r. r is perpendicular distance of elemental area to axis about which area moment of inertia is calculated. Axis. Area moment of inertia ( I ). I = Area * r.