Motion of System of Particles and Rigid Body a 2gh V3 b 3gh 2 4gh...

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Physics

Motion of System of Particles and Rigid Body a 2gh V3 b 3gh 2 4gh V 3 c d gh 139 A disc of mass M and radius R is rolling with angular speed o on a horizontal surface as shown in figure The magnitude of angular momentum of the disc about the origin O is here y is the linear velocity of the disc Iw I MR MR 14 SMR 4 2 MR 00 b MR 0 3 a c MRv d 140 A sphere of mass m and radius r rolls on a horizontal plane without slipping with the speed u Now if it rolls up vertically the maximum height it would attain will be a 3u 4g b 5u 2g c 7u 10g d u 2g MRv 2

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Lets break down the two questions from the image regarding the motion of a disc and a sphere Question 139 Angular Momentum of a Disc Problem Statement A disc of mass M and radius R is rolling with angular speed omega on a horizontal surface We need to find the magnitude of angular momentum of the disc about the origin O Key Concepts 1 Moment of Inertia I For a disc the moment of inertia about its center is given by I frac12 See Answer

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