Physics - Inertia, Angular Acceleration, Torque etc

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To find the moment of inertia of a hollow sphere attached to a solid rod, one must consider both components and apply the parallel axis theorem. The moment of inertia for the hollow sphere can be calculated using its mass and radius, while the rod's contribution is based on its mass and length. Once the total moment of inertia is determined, the next step involves calculating the angular acceleration when a torque is applied, using the relationship between torque, moment of inertia, and angular acceleration. The discussion emphasizes the importance of understanding these concepts and encourages looking up relevant equations and theorems for assistance. Mastery of these principles is crucial for solving the problems presented.
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Homework Statement



Part One:

Imagine a hollow sphere of radius R and mass M. It is welded to the end of a solid rod of length L, whose mass is also M. The rod is attached to the sphere in such a way that the whole assembly, when viewed from the side, looks like a lollipop. (That is, the axis of the rod, if extended, would pass through the center of the sphere.) Find the moment of inertia of the assembly about an axis perpendicular to the rod and passing through the rod's other end (the one away from the sphere).


Part Two:

Imagine now that a torque " T " (tao) is applied to the assembly in Problem 1. (about the same axis as described therein). What would the resulting angular acceleration of the assembly be?

(Note: If you were unable to get an expression for Part One, just use " I " for inertia here. Otherwise, sub in your expression from Problem 1, and simply if possible.)


Homework Equations



I=mr2 where the two is a square and m is mass, , r being its perpendicular distance from the axis of rotation

torque = Fr where F is the force and r is the distance ...




The Attempt at a Solution



i don't have one yet...
 
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