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LCSphysicist
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- 162
- Homework Statement
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- Relevant Equations
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Now, the thing that is making myself confused is the constraint condition: I know the answer is
No.Herculi said:So, the cylinder moved bθ while it rotates aϕ.
Thought this might be worth adding as the animation below is fun to watch (well, it is for me).Herculi said:I don't understand why it is being used (b-a) instead! That is, this is the distance traveled by the CG, but shouldn't we seek for the distance traveled by the point of contact?
The motion of a rolling cylinder in a fixed cylinder with a confusing constraint condition is a complex concept that involves analyzing the forces and constraints acting on the system. It is important to understand the geometry and boundary conditions of the system in order to determine the motion of the rolling cylinder.
Rolling motion is a type of motion where an object rotates and translates at the same time, while sliding motion is when an object only translates without any rotation. In the case of a rolling cylinder in a fixed cylinder, the rolling motion is a combination of rotation and translation, while the fixed cylinder only has a sliding motion.
The constraint condition plays a crucial role in determining the motion of the rolling cylinder. It can either restrict or allow certain types of motion, depending on the type of constraint. In the case of a confusing constraint condition, it may be difficult to determine the exact motion of the rolling cylinder without a thorough analysis of the constraints and forces involved.
One common example is a ball rolling inside a curved tube or pipe. The curved surface of the tube acts as a constraint, causing the ball to roll in a specific path. Another example is a wheel rolling on an inclined plane, where the constraint condition is the angle of the incline.
Understanding the motion of a rolling cylinder in a fixed cylinder with a confusing constraint condition can be useful in various engineering and scientific applications. It can help in designing and analyzing systems that involve rolling motion, such as gears, wheels, and pulleys. It can also aid in understanding the motion of objects in real-world scenarios, such as the motion of a ball rolling down a hill or a car driving on a curved road.