Conceptual Question on Rotational Mechanics

In summary, the given systems consist of masses connected by rods and appear to rotate in unison about the midpoint of each rod. The question asks whether the systems have the same velocity, to which the answer is yes based on the information provided. The rotational velocity of the systems is the same.
  • #1
master_333
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0

Homework Statement


Rods of negligible mass connect discrete masses as shown in the diagram below. For each system, the masses rotate about the midpoint of each connecting rod. Furthermore the systems appear to rotate in unison as time progresses. Do the systems have the same velocity?

Homework Equations

The Attempt at a Solution


I think the answer is yes because the the question says that the systems appear to rotate in unison.

Could someone please tell me if I am correct?
 
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  • #2
master_333 said:
Rods of negligible mass connect discrete masses as shown in the diagram below.
You forgot the diagram.
 
  • #3
You don't need the diagram. You can do it using the question. The diagram are just two rods with masses attached to them. I'm asking if moving in unison means moving with the same velocity.
 
  • #4
master_333 said:
Furthermore the systems appear to rotate in unison as time progresses.
Sounds like the rotational velocity is the same.

master_333 said:
Do the systems have the same velocity?
Velocity of what? The masses? The center of mass? (See above.)
 
  • #5
Thank you, that was very helpful.
 

1. What is rotational motion?

Rotational motion is the movement of an object around an axis or center point. This type of motion can be seen in objects such as wheels, planets, and atoms.

2. What is angular velocity?

Angular velocity is the rate at which an object rotates around an axis. It is typically measured in radians per second and can be calculated by dividing the angle traveled by the time it takes to travel that angle.

3. What is the difference between angular velocity and linear velocity?

Angular velocity refers to the rate of rotation of an object, while linear velocity refers to the rate of change of an object's position in a straight line. Angular velocity is measured in radians per second, while linear velocity is measured in meters per second.

4. What is the moment of inertia?

The moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is dependent on both the mass and distribution of the object's mass around the axis of rotation.

5. How does torque affect rotational motion?

Torque is a force that causes an object to rotate around an axis. It is dependent on the force applied and the distance from the axis of rotation. The greater the torque, the greater the acceleration of the object's rotational motion.

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