Calc based physics 1 homework help

In summary, a problem is given involving a small cart, circular hoop, and solid cylinder rolling down an incline plane with a length of 22 meters and an angle of incline of 22 degrees. The task is to find the time it takes for each object to reach the bottom of the incline plane. The solution involves considering the moment of inertia and angular acceleration, as well as finding the velocity of the rolling objects' center of mass. The moment of inertia affects the speed at which the objects will roll down the incline. The moment of inertia for the hoop and cylinder is easier to find, but the moment of inertia for the shopping cart may pose a challenge.
  • #1
Nightrider519
9
0

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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  • #2
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.
 
  • #3
how would the moment of inertia even apply to this problem
 
  • #4
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.
 
  • #5
k he moment of inertia for the hoop and cylinder is no problem but what about the shopping kart
 

Related to Calc based physics 1 homework help

1. What is the difference between calculus-based physics and algebra-based physics?

Calculus-based physics uses the principles of calculus to solve problems and understand the behavior of physical systems, while algebra-based physics relies on algebraic equations and concepts. Calculus-based physics is typically used in more advanced courses and is considered more mathematically rigorous.

2. How can I use calculus to solve physics problems?

Calculus can be used to solve problems in physics by finding derivatives and integrals of functions that represent physical quantities such as position, velocity, and acceleration. These derivatives and integrals can provide valuable information about the behavior of a physical system.

3. What topics are covered in a typical calculus-based physics 1 course?

A typical calculus-based physics 1 course covers topics such as kinematics, forces and motion, work and energy, momentum, rotational motion, and simple harmonic motion. It also introduces students to the principles of calculus and how it can be applied to understand physical phenomena.

4. What are some common challenges students face when studying calculus-based physics?

One common challenge students face when studying calculus-based physics is understanding the mathematical concepts and equations used to describe physical systems. Another challenge is being able to apply calculus principles to solve complex problems. Time management and keeping up with the pace of the course can also be challenging.

5. How can I best prepare for calculus-based physics 1 homework and exams?

To prepare for calculus-based physics 1 homework and exams, it is important to review the concepts covered in class and practice solving problems. It can also be helpful to work in study groups or seek help from a tutor or professor when needed. Paying attention in class, taking thorough notes, and staying organized can also improve your understanding and performance in the course.

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