MOMENT OF INERTIA Chua‚ Richard Janssen J.‚ PHY11L/A3 chardsenchua77@yahoo.com Abstract The moment of inertia‚ or also known as the rotational inertia‚ is the rotational analog of a rigid body to a linear or an angular motion. It is one of the fundamentals of the dynamics of rotational motion. The moment of inertia must always be in a specified chosen axis of rotation. The point of motion is basically defined as the relationship between mass and the perpendicular distance to the rotational
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Moment of Inertia Formula The Moment of inertia is the property by the virtue of which the body resists angular acceleration. In simple words we can say it is the measure of the amount of moment given to the body to overcome its own inertia. It’s all about the body offering resistance to speed up or slow down its own motion. Moment of inertia is given by the formula Where R = Distance between the axis and rotation in m M = Mass of the object in Kg. Hence the Moment of Inertia is given in Kgm2
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Moment of Inertia Academic Resource Center What is a Moment of Inertia? • It is a measure of an object’s resistance to changes to its rotation. • Also defined as the capacity of a cross-section to resist bending. • It must be specified with respect to a chosen axis of rotation. • It is usually quantified in m4 or kgm2 Quick Note about Centroids…. • The centroid‚ or center of gravity‚ of any object is the point within that object from which the force of gravity appears to act. •
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Title: Mass Moment of Inertia Objective: To determine mass moment of inertia of a part using experimental method. Theory: If a part has been designed and built‚ its mass moment of inertia can be determined approximately by a simple experiment. This requires that the part be swung about any axis (other than one that passes through its CG) parallel to that about which the moment is sought and its period of pendular oscillation measured. Figure 1 shows a part of connecting rod suspended on a knife-edge
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Moment of inertia of a flywheel Jonathan Prevett 13/11/14 Uday Ravish Aim: To determine the moment of inertia of a flywheel. Apparatus: Fly wheel and axel‚ weight hanger‚ slotted weights‚ stop watch‚ metre ruler. Definitions: Moment of Inertia- a quantity expressing a body’s tendency to resist angular acceleration Radius of Gyration- the distribution of the components of an object around an axis. Method: The weights were suspended from the axel by the cord‚ then we used a meter ruler to make
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for reactions‚ shear force and moment for: a. Simply supported beam b. Simply supported beam with one end overhanging c. Simply supported beam with both ends overhanging. 2. To calculate shear force and moment using influence line 3. To determine maximum shear force and moment 4. Calculate Absolute Maximum Moment (MMM) 4.1 INTRODUCTIONS: Influence line is to: Analysis a structure due to moving load along the beam. Show the changes in reaction‚ shear stress‚ moment and displacement in certain point
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Introduction A bending moment is simply defined as “the algebraic sum of the moments of all the forces which induces bending of an element” (1). The aim of this assignment is to work out the bending moment in a simply supported beam when different concentrated loads are applied to it. A simply supported beam is a structure‚ usually with a straight profile supported at the ends‚ often pinned on one side and simply supported or on a roller on the other. There will be three series of loads applied
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Applied mechanics laboratory report “Measurement of bending moment and shear forces for structural analysis” Azamat Omarov ID201102658 1.Theory and background 1.1 Summary That performed laboratory session on bending moments and shear forces requires good understanding and sufficient knowledge of axial forces. Bending is defined as a behavior of any structural element that undergoes the external load‚ which is applied perpendicularly to longitudinal axis. That experiment helps us to find
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January 8‚ 2013 AP English Language Woolf’s Language in Moments of Being In the excerpt of Moments of Being‚ Virginia Woolf reflects upon her childhood summers spent with her dad and father. As Woolf relives that one joyful day‚ she intrigues the reader with her rich writing style. While telling her story‚ Virginia Woolf uses language techniques such sentence structure‚ punctuation‚ and metaphors to convey the importance of this nostalgia. Moments of Being attracts the reader to feel what Woolf did
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Bending in beams Key Points: 1. Internal bending moment causes beam to deform. 2. For this case‚ top fibers in compression‚ bottom in tension. Bending in beams Key Points: 1. Neutral surface – no change in length. 2. Neutral Axis – Line of intersection of neutral surface with the transverse section. 3. All cross-sections remain plane and perpendicular to longitudinal axis. Bending in beams Key Points: 1. Bending moment causes beam to deform. 2. X = longitudinal axis 3. Y
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