A disk of radius R and mass M = 10 g is rotating freely about a fixed axis throu

Question

A disk of radius R and mass M = 10 g is rotating freely about a fixed axis through its center with angular velocity w = 11 rad/s. A spider of mass m = 0.5 g descends onto the disk and goes along for the ride. The moment of inertia of the disk is I = (1/2)MR2.

A disk of radius R and mass M = 10 g is rotating freely about a fixed axis through its center with angular velocity w = 11 rad/s. A spider of mass m = 0.5 g descends onto the disk and goes along for the ride. The moment of inertia of the disk is I = (1/2)MR2.

Explanation / Answer

a) principle of conservation of angular momentum

b) I1W1 = I2W2

=> MR^2/2*W1 = MR^2/2+mR^2)*W

=> 10/2*11 = (10/2+0.5)*W

=> W = 10 rad/s

c) as spider starts crawling towards the center of the disk , moment of inertia of syestem will decreases hence

angular velocity will increases

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