A ball of mass M and radius r on the end of a thinmassless rod is rotated in a h

Question

A ball of mass M and radius r on the end of a thinmassless rod is rotated in a horizontal circle of radius Roabout an axis of rotation AB, as shown in the figure . A: Considering the mass of the ball tobe concentrated at its center of mass, calculate its moment ofinertia about AB. Express your answer in terms of thegiven quantities. B: Using theparallel-axis theorem and considering the finite radius of theball, calculate the moment of inertia of the ball aboutAB. Express your answer in termsof the given quantities. C: Calculate the percentage errorintroduced by the point mass approximationfor r = 7.5 cmand Ro = 1.1 m.
Express your answer using twosignificant figures. Error%_________ A: Considering the mass of the ball tobe concentrated at its center of mass, calculate its moment ofinertia about AB. Express your answer in terms of thegiven quantities. B: Using theparallel-axis theorem and considering the finite radius of theball, calculate the moment of inertia of the ball aboutAB. Express your answer in termsof the given quantities. C: Calculate the percentage errorintroduced by the point mass approximationfor r = 7.5 cmand Ro = 1.1 m.
Express your answer using twosignificant figures. Error%_________ Express your answer in termsof the given quantities. C: Calculate the percentage errorintroduced by the point mass approximationfor r = 7.5 cmand Ro = 1.1 m.
Express your answer using twosignificant figures. Error%_________ Calculate the percentage errorintroduced by the point mass approximationfor r = 7.5 cmand Ro = 1.1 m.
Express your answer using twosignificant figures. Error%_________ A ball of mass M and radius r on the end of a thinmassless rod is rotated in a horizontal circle of radius Roabout an axis of rotation AB, as shown in the figure . A: Considering the mass of the ball tobe concentrated at its center of mass, calculate its moment ofinertia about AB. Express your answer in terms of thegiven quantities. B: Using theparallel-axis theorem and considering the finite radius of theball, calculate the moment of inertia of the ball aboutAB. Express your answer in termsof the given quantities. C: Calculate the percentage errorintroduced by the point mass approximationfor r = 7.5 cmand Ro = 1.1 m. Express your answer using twosignificant figures. Error%_________

Explanation / Answer

Here moment of inertia about centre is 2/3Mr^r A) Using parallel axis theorem moment of inertia is MR^2 B)Moment of inertia is M((R+r)^(R+r)+(2/3)r^r) C)17.4

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