Two particle system - find their angular velocities

In summary, the conversation is about solving problems from the textbook "Orbital Mechanics for Engineering Students" by Curtis 2nd edition. The person asks if this is the right place to post, and the problem they are trying to solve involves two particles of identical mass under the influence of gravitational force. The solution involves using Newton's second law and the center of mass as the origin of the inertial frame. The answer is given as ##ω=sqrt{2Gm/d^3}.
  • #1
Alexanddros81
177
4
Hi! I want to start solving problems from the text
'Orbital Mechanics for Engineering students' by Curtis 2nd edition.
Is this the right place to post?

Homework Statement


2.1 Two particles of identical mass m are acted on only by the gravitational force
of one upon the other. If the distance d between the particles is constant, what is the
angular velocity of the line joining them?
Use Newton's second law with the center of mass of the system as the origin of
the inertial frame.
{Ans.: ##ω=sqrt{2Gm/d^3}

Homework Equations

The Attempt at a Solution



Orbital Mechanics 2_1.jpg


Is this the right way to solve this problem?
 

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  • #2
Looks good.
 

Related to Two particle system - find their angular velocities

1. What is a two particle system?

A two particle system refers to a system in which there are only two particles or objects interacting with each other. This can include objects like planets orbiting each other or atoms in a molecule.

2. How do you find the angular velocities of two particles?

To find the angular velocities of two particles, you need to know their positions and velocities. Then, you can use the formula ω = v/r, where ω represents angular velocity, v represents linear velocity, and r represents the distance between the two particles.

3. Can the angular velocities of two particles change over time?

Yes, the angular velocities of two particles can change over time. This can occur if there are external forces acting on the particles, such as gravitational forces or friction. Changes in the distance between the particles can also affect their angular velocities.

4. What units are used to measure angular velocity?

Angular velocity is typically measured in radians per second (rad/s) or degrees per second (°/s). In some cases, revolutions per minute (RPM) may also be used as a unit of angular velocity.

5. How does the relative position of the two particles affect their angular velocities?

The relative position of the two particles can affect their angular velocities. If the particles are closer together, their angular velocities will be higher compared to when they are further apart. This is because the distance between the particles is a key factor in determining their angular velocities.

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