Calc based physics 1 homework help

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Homework Help Overview

The discussion revolves around a physics problem involving a small cart, a circular hoop, and a solid cylinder, all of which are rolling down an inclined plane. The problem requires determining the time it takes for each object to reach the bottom of the incline, given their mass and the incline's dimensions.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relevance of moment of inertia and angular acceleration in relation to the rolling motion of the objects. Questions are raised about how to calculate the velocity of the rolling objects and the implications of their moment of inertia on their motion down the incline.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some have suggested that the moment of inertia affects the rolling speed, while others are questioning how it applies to the cart specifically. There is no explicit consensus yet, but various interpretations and considerations are being examined.

Contextual Notes

Participants are navigating the complexities of the problem, including the need to consider the moment of inertia for different shapes and how it influences their motion. The original poster expresses confusion about how to begin the problem, indicating a potential gap in foundational understanding.

Nightrider519
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Homework Statement



A small cart, circular hoop and a solid cylinder of the same mass (5Kg) are allowed to roll down an incline plane. the length of the plane is 22 meters and the angle of incline is 22 degrees. Find the time it takes for each object to reach the bottom of the incline plane.

I am totally and utterly lost on how to even start the problem any help at all would be greatly appreciated thanks in advance
 
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I guess it has to see with the moment of inertia and angular acceleration.
It would be nice if you could find the velocity of the rolling objects (their center of mass' velocity) so that you could find out how much time they'll take to reach the bottom of the inclined plane.
 
how would the moment of inertia even apply to this problem
 
Think about it: if an object has a very huge moment of inertia, it will try to resist to roll. So it will go down slower than an object with a little moment of inertia.
 
k he moment of inertia for the hoop and cylinder is no problem but what about the shopping kart
 

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