Physics College

a hoop with radius r, mass m and moment of inertia mr^2 rolls along a surface without slipping, at a constant velocity v. What is the angular momentum of the hoop about its center of mass?

Answers

Answer 1

mvr³  is the angular momentum of the hoop about its center of mass

L=mvr=Iω

L= angular momentum

m= mass

v=velocity

r= radius

L=mvr

L=mr²×r×v

L=mvr³

A characteristic known as angular momentum describes the rotating inertia of an item or set of objects when they are moving along an axis that may or may not pass through them. The Earth possesses spin angular momentum from its daily rotation around its axis and orbital angular momentum from its yearly revolution around the Sun. Since angular momentum is a vector quantity, its full representation calls for the identification of both a magnitude and a direction. An object in orbit has an angular momentum that is proportional to its linear momentum times the perpendicular distance r from the center of rotation to a line drawn through the center of gravity of the object, or just mvr.

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Related Questions

Why do some organisms make one type of protein for a feature while other organisms make two? Use the above words in your response.

Answers

Answer:

Genes provide instructions for making proteins but they do not build the proteins themselves. Why do some organisms make one type of protein for a feature and others make two? An organism has two copies of a gene for each feature; these can be the same version or different.

Explanation:

Given: g=10 m/s^2
A car moves a distance of 80 m during
a time interval of 10 s. The average
speed v_avg of this car is:
2 m/s
6 m/s
O 10 m/s
O 8 m/s
O 4 m/s

Answers

During a 10-second period, a car travels 80 meters. This car typically travels at a speed of 8 m/s.

An illustration of average velocity.

For instance, if it takes a person 40 minutes to travel 20 miles north, 20 miles south, and finally 20 miles in between, their average speed is 40 miles divided by 40 minutes, or 1 mile per minute. Instead of distance, average velocity takes into account total displacement.

How is average velocity calculated?

The total displacement must be divided by the total time elapsed in order to determine the average velocity.

average velocity= total displacement/ total time

avg velocity=80/10=8m/s

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