1 answer

A solid cylindrical disk with moment of inertia I, rotates about a vertical axle through its center with angular ve...

Question:

A solid cylindrical disk with moment of inertia I, rotates about a vertical axle through its center with angular velocity o;.
A solid cylindrical disk with moment of inertia I, rotates about a vertical axle through its center with angular velocity o;. A second, smaller solid cylindrical disk with moment of inertia 12 , which is not rotating, is dropped onto the first disk. Shortly after the collision, the two disks reach a common final angular velocity of. Assume the axle is frictionless. Before After 1 INI i - II II - 1 Find an expression for of in terms of o;, I], and 12. Use Wi in place of o;, Il in place of I], and 12 in place of I, when you type your answer. Leave no extra space between these quantities and any mathematical symbols you use in your expression for Of. You may choose to put parentheses around the numerator and/or denominator of your expression, but do NOT include an extra set of parentheses around the entire expression. Of=

Answers

There is not any external torque on the system so angular momentum will be conserve.

Linitial = Lfinal

I1wi = (I1 + I2)wf

So in asked terms -

Wf = I1W1/(I1 + I2)

.

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