Dynamics - Very simple Q; Just need clarification

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In summary, the conversation is about a solution to a problem involving a large disc and a smaller disc. The solution involves setting the velocity of point D to zero and using that to establish an equation for the rest of the problem. The reason for setting vD to zero is because D is specified to be stationary and its velocity is equal to vB-vD/B. Other online solutions also follow this step without explanation.
  • #1
kspabo
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Homework Statement


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Homework Equations


Skipping this, as I just have a simple question

The Attempt at a Solution


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Here is the full solution, but I just have one simple question about a simple step. On the part for disk B, they establish the equation vD = vB - vD/B. In the proceeding step, they set vD = 0. I have checked out a few other solutions online and they ALL do this, but none explain. I'm curious as to why this happens. Thanks!
 
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  • #2
D is the point of contact between the large disc and the outside surface. It is specified to be stationary ('without slipping'), so its velocity vD is zero. That velocity is also equal to vB-vD/B, as the first term is the linear velocity of B, the centre of the big disc, and the second term is the linear velocity of D relative to B.

Putting those two facts together gives an equation 0 = vB - vD/B, which can then be used to work out the rest.
 
  • #3
Thank you andrewkirk, that makes sense.
 

Related to Dynamics - Very simple Q; Just need clarification

1. What is dynamics in science?

Dynamics in science refers to the study of how objects move and the forces that act upon them. It involves understanding the relationship between motion, forces, and energy.

2. What are the different types of dynamics?

There are three main types of dynamics: kinematics, kinetics, and statics. Kinematics deals with the motion of objects without considering the forces that cause the motion. Kinetics, on the other hand, focuses on the forces that cause motion. Statics is the study of objects at rest or in equilibrium.

3. How is Newton's laws of motion related to dynamics?

Newton's laws of motion are fundamental principles that describe the behavior of objects in motion and the forces acting upon them. They are an important part of dynamics as they provide a framework for understanding how objects move and interact with each other.

4. What is the difference between linear and rotational dynamics?

Linear dynamics deals with the motion of objects in a straight line, while rotational dynamics deals with the motion of objects around an axis. In linear dynamics, the forces are applied in the same direction as the motion, while in rotational dynamics, the forces act perpendicular to the motion.

5. Why is dynamics important in science?

Dynamics is important in science as it helps us understand the world around us and how it works. It is used in many fields, such as physics, engineering, and astronomy, to explain and predict the behavior of objects and systems. It also allows us to design and create new technologies that improve our daily lives.

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