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# capa10 - 1 The definition of center-of-mass RC.M is given...

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1) The definition of center-of-mass R C.M. is given in the online lecture notes as: R C.M. = 1/M · (m i · r i ) (Hint: This is a sum of vectors!) Break down the shape into small squares with sides measuring ‘a’. Then you can assume that each of these squares have the center of mass right in the center; the mass of each square is ‘m’. If you have n such squares the total mass M will be n·m. Now write down the coordinates of the centers of each of these a*a squares and add their components up. Divide this sum by M and you find the components of the center of mass R C.M. 2) The angular acceleration is defined as α = Δ f / Δ t for units of 4) This question does not ask for the centripetal acceleration but for the tangential component of the acceleration. The tangential velocity is: v tan = r · ω The tangential acceleration is dv tan / dt = r · d ω /dt = r · α (Warning: Make sure you pay attention to the units here: The above equation assumes that α is in the units of [rad/s 2 ] and not [rev/s 2 ]. If you had

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capa10 - 1 The definition of center-of-mass RC.M is given...

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