Answer:
5.160384 kg*m²/s
Explanation:
The vector angular momentum P can be found using the following expression:
P = I * w
I refers to the inertia, that for a sphere is found using the expression:
I =
* m * r² =
* 15.5kg * (0.510m)² = 1.61262 kg*m².
The angular velocity w is given by the problem, and has a value of 3.2 rad/s.
Replacing the data we get:
P = 1.61262 kg*m² * 3.2 rad/s = 5.160384 kg*m²/s
Inertia is a property of all the objects. Galileo stated that inertia is proportional to mass. Therefore, the answer is D.
(a) The angular speed of the system at the instant the beads reach the end of the rod is 9.26 rad/s.
(b) The angular speed of the rod after the after the beads fly off the rod's ends is 25.71 rad/s.
<h3>Moment of inertia through the center of the rod</h3>
I = ¹/₁₂ML²
I = ¹/₁₂ (0.1)(0.5)²
I = 0.0021 kgm²
For the beads, I = 2Mr² = 2(0.03 x 0.1²) = 0.0006 kgm²
Total initial moment of inertia, Ii = 0.0021 kgm² + 0.0006 kgm²
I(i)= 0.0027 kgm²
When the beads reach the end, I = 2Mr² = 2(0.03)(0.25)² = 0.00373 kgm²
Total final moment of inertia, I(f) = 0.0021 kgm² + 0.00373 kgm²
I(f) = 0.00583 kgm²
<h3>Speed of the system</h3>
The speed of the system at the moment the beads reach the end of the rod is calculated as follows;


<h3>Speed of the rod when the beads fly off</h3>

Learn more about moment of inertia of rods here: brainly.com/question/3406242