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For PDF Notes and best Assignments visit @ physicswallahalakhpandey.com/Live Classes, Video Lectures, Test Series, Lecturewise notes, topicwise DPP, In order to find the centre of mass, we have to consider an element. We are taking an elemental disc at a height h from the base of the hemisphere. The mass of the elemental disc is dM and the width is dy. r = R 2 − y 2 ….. ( 1) Mass of the disc dM = (3M/2πR 3) × (πr 2 dy)….. (2) Center of Mass and Centroids Center of Mass: Following equations independent of g (Vector representation) Unique point [= f(ρ)] :: Centre of Mass (CM) CM coincides with CG as long as gravity field is treated as uniform and parallel CG or CM may lie outside the body m zdm z m ydm y m xdm x ³ m ³ dm r r ³ ³ ³ ³ ³ ³ dV z dV z ydV y x x U U The centre of mass of the hollow hemisphere will lie on the y-axis, which is the line passing through the centre of the base of the hollow hemisphere. We are considering an elemental strip of width Rdθ and has a mass dM. The radius of the elemental ring is r = Rsinθ. The elemental mass dM = (M/2πR 2) (2πRsinθ.Rdθ) What is the centre of mass of hemisphere? What is the centre of mass of a hemispherical shell? What is the location of the centre of mass of a uniform triangular lamina? What is the centre of mass of a ring? Is the centroid the center of mass? What is meant by centroid? What is the center of mass of a hemisphere?