Asolid disk of mass m and radius r is moving with a constant angular velocity of w when an external torque begins to slow the disk down. it goes through exactly x revolutions before coming to a stop. a. derive an expression for the net torque applied to the disk. express your answer in terms of the givern variables and fundamental universal constants b. if the force causing the torque had been applied at a ½ the distance, by what factor would the total revolutions completed before stopping change?

a charge 3q is at the origin, and a charge −2q is on the positive x axis at x=a. part a where on the x-axis would you place a third charge so it would experience no net electric force? enter an expression for the exact answer, which will involve a square-root sign. (do not enter an approximate decimal answer.)

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

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