What is the moment of inertia of the particle at the end of the meter stick?

In summary, the moment of inertia is a measure of an object's resistance to changes in rotational motion. In this scenario, a particle with a mass of 0.400 kg is attached to a meter stick with a mass of 0.100 kg. The meter stick is rotating on a frictionless table with an angular speed of 4.00 rad/s. The angular momentum of the system can be calculated when the stick is pivoted about an axis perpendicular to the table through the 50.0-cm mark and through the 0-cm mark. To find the moment of inertia of the particle at the end of the meter stick, we can use the formula I=mr^2, where m is the mass of the
  • #1
CompEguy
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Moment of Inertia

A particle of mass 0.400 kg is attached to the 100-cm mark of a meter stick of mass 0.100 kg. The meter stick rotates on a horizontal, frictionless table with an angular speed of 4.00 rad/s. Calculate the angular momentum of the system when the stick is pivoted about an axis (a) perpendicular to the table through the 50.0-cm mark and (b) perpendicular to the table through the 0-cm mark.

What is the moment of intertia of the particle at the end of the meter stick? I know how to find the moment of intertia of the meter stick.
 
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  • #2
The moment of inertia of a particle is mr^2
 
  • #3
thank you
 

Related to What is the moment of inertia of the particle at the end of the meter stick?

1. What is the definition of moment of inertia?

Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is the sum of the products of each particle's mass and its square of distance from the axis of rotation.

2. How is moment of inertia different from mass?

Moment of inertia is a property of an object that describes its resistance to rotational motion, while mass is a measure of the object's quantity of matter. They are two different physical properties and cannot be equated.

3. What factors affect the moment of inertia of an object?

The moment of inertia of an object depends on its mass distribution, shape, and axis of rotation. Objects with more mass concentrated farther from the axis of rotation have a higher moment of inertia.

4. How is moment of inertia calculated for a particle at the end of a meter stick?

To calculate the moment of inertia for a particle at the end of a meter stick, we need to know the mass of the particle, the length of the meter stick, and the distance of the particle from the axis of rotation (in this case, the end of the meter stick).

5. Why is the moment of inertia important in physics?

The moment of inertia is an essential concept in physics because it helps explain how objects behave when they are rotating. It is used in calculating an object's angular acceleration, angular momentum, and angular kinetic energy. It also plays a crucial role in understanding rotational motion in systems such as engines, gyroscopes, and planets in orbit.

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