Need help find magnitude and angle displacement please

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Homework Help Overview

The problem involves a wheel with a specified radius rolling along a horizontal surface without slipping. The original poster seeks to determine the magnitude and angle of the displacement of a point on the wheel's rim after it has completed half a revolution.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the angle and magnitude of displacement based on the wheel's movement. Some participants question the definitions of displacement and clarify that the center of the wheel moves forward, suggesting that the displacement should be measured from the center rather than the rim. Others emphasize the need to consider the distance traveled as half the circumference of the wheel.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the displacement and clarifying the original poster's assumptions. Some guidance has been offered regarding the calculation of displacement based on the wheel's geometry.

Contextual Notes

There is a mention of a potential misunderstanding regarding the displacement vector and its angle, as well as the need for a visual representation to aid in understanding the problem.

Darkhrse99
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Homework Statement


A wheel with a radius of 45cm travels along a horizontal floor without slipping. At time T-1 the dot P painted on the rim is at the point of contact between the wheel and the floor.At the later time T-2 the wheel has gone through one half of a revolution. What are the magnitude an angle(relative to the floor) of the displacement of P?


The Attempt at a Solution



I believe the angle is 180* and the magnitude is 90cm. A half revolution is 180* and 2times 45cm is 90cm. Is this correct?


Thanks
Jason
 
Last edited:
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Magnitude and angle of displacement of what? The center of the wheel has moved straight ahead. The angle of its displacement vector is 0. And it will have moved forward a distance equal to half the circumference of the wheel, not the diameter. Do you see why?
 
HallsofIvy said:
Magnitude and angle of displacement of what? The center of the wheel has moved straight ahead. The angle of its displacement vector is 0. And it will have moved forward a distance equal to half the circumference of the wheel, not the diameter. Do you see why?

The magnitude and displacement of P At t-0, P is at the bottom and t-2 P is at the top. Sorry I left that out of the question.
 
Draw a picture of the wheel at t-1 and at t-2 on the same axis. Then connect the two points and figure out the displacement+angle.
 

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