Question

In: Physics

ASK YOUR TEACHER Each of the following objects has a radius of 0.155 m and a...

ASK YOUR TEACHER Each of the following objects has a radius of 0.155 m and a mass of 2.07 kg, and each rotates about an axis through its center (as in this table) with an angular speed of 39.4 rad/s. Find the magnitude of the angular momentum of each object. (a) a hoop kg · m2/s (b) a solid cylinder kg · m2/s (c) a solid sphere kg · m2/s (d) a hollow spherical shell kg · m2/s

Solutions

Expert Solution

Angular momrntum is given by,

Where is the angular spped and is the angualr momentum.

(a) Moment of inertia of a hoop is,

angular momentum of the hoop is ,

(b) Moment of inertia of a solid cylinder is,

angular momentum of the solid cylinder is ,

(c) Moment of inertia of a solid sphere is,

angular momentum is,

(d) Moment of inertia of a hollow spherical shell is,

angular momentum is,


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