A Solid, Uniform, Horizontal Disk with a Diameter of 2 $$\text { (c) What is the angular velocity of the disk (in rpm) after the stone fell onto the disk? }$$

question 35

Short Answer

A solid, uniform, horizontal disk with a diameter of 2.0 m and a mass of 4.0 kg freely
rotates at 36 rpm about a vertical axis through its center. A small 0.50-kg stone is suddenly
dropped onto the disk and sticks to the disk at a distance of 80 cm from the axis of
rotation. The figure shows before and after views.
(a) Before the stone fell, what was the moment of inertia of the disk about its central axis?
(b) After the stone stuck, what was the moment of inertia of the system about the same
axis? $$\text { (c) What is the angular velocity of the disk (in rpm) after the stone fell onto the disk? }$$

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Definitions:

Three-Lead ECG

A type of electrocardiogram setup that uses three electrodes to monitor the heart’s electrical activity, providing information about heart rate and rhythm.

Deflection Waves

Components of an electrocardiogram (ECG) tracing reflecting the electrical activity of the heart, including various waves (P wave, QRS complex, T wave) associated with specific phases of cardiac depolarization and repolarization.

ECG

Electrocardiogram, a test that records the heart’s electrical activity and can be used to diagnose various heart conditions.

QRS Complex

A series of deflections in an electrocardiogram representing the electrical activity associated with the ventricular contraction of the heart.