What happens to the magnitude and direction of the angular velocity (and hence t

Question

What happens to the magnitude and direction of the angular velocity (and hence the angular momentum) of the disk during the application of a steady torque? How do they change relative to the magnitude and direction of the torque? If possible, give a precise statement of a Second Law of Rotational Motion relating the net torque on an object to its change in angular momentum. Note: Take both magnitudes and directions of the relevant vectors into account in your statement.

Hint: Newton’s second law of motion states that the center of mass of a system of particles or rigid object that experiences a net external force will undergo an acceleration inversely proportional to its mass.

The Rotational Second Law in words:

The Rotational Second Law as a vector equation:

Explanation / Answer

Here,

when there is steady torque applied to the disk , the magnitude of angular velocity will increase in the direction of applied torque.

the direction of change of angular velocity is same as the applied torque .the rate of change of angular velocity will be proporational for the magnitudeof torque applied.

For the rotational second law of motion

Rate of change of angular momentum is equal to the torque applied on the object.

for the rotational law as a vector equation

T = I * dw/dt

T is the torque applied

I is moment of inertia w is the anglular speed

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