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Created March 22, 2018 14:28
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Angular momentum notes

By no means this is a complete notes.

Angular momentum

It is a vector. Symbol is L

Unit: kg m²/s

When an object spins, it gains angular momentum. In that case, the object has inertia and keep spinning, resisting other force from interrupt (e.g. Gravity).

For example, a bicycle will not fall if it is cycling with sufficient speed.

There are two types of angular momentum. Point object and extended object.

Point Object

Object rotating (or spinning) around a given point.

For example, planet, electron in an atom, string plus a mass.

L = r * p = r * m * v

Where v is the linear velocity. Similar to circular motion.

Extended Object

Whole object rotating around a point. For example, gyroscope.

L = I * ω

Where:

  • I is rotational inertia of the object
  • ω is the angular speed of the object

Direction of angular momentum

Use right hand rule. Similar to magnetic field from a coil.

4 fingers pointing to rotate direction and the thumb direction is direction of T.

Impulse

Similar in linear momentum. Where F(avg) * t = Δp

For angular momentum, ΔL = net torque * Δt

Measure angular momentum in physics lab

Using a turntable (those in 酒樓). This would generate angular momentum on extended object.

Attach photo gate on the turntable to measure angular velocity of the table.

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