Consider the yo-yo (of mass M and outer radius R) shown in the figure, where the string is being pulled with a force of magnitude F (F < M g) at an angle θ to the horizontal. The radius of the inner axis is r (so that r < R). Assume that the angle ranges from 0 to π/2, and the coefficient of static friction with the ground is very large. 1)Enter an expression for the critical angle (in radians, between 0 and π / 2) at which the yo-yo will remain motionless. Use γ = r / R to simplify your expression.
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
Consider the yo-yo (of mass M and outer radius R) shown in the figure, where the string is being pulled with a force of magnitude F (F < M g) at an angle θ to the horizontal. The radius of the inner axis is r (so that r < R). Assume that the angle ranges from 0 to π/2, and the coefficient of static friction with the ground is very large.
1)Enter an expression for the critical angle (in radians, between 0 and π / 2) at which the yo-yo will remain motionless. Use γ = r / R to simplify your expression.
![F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F502fade9-eb50-4cab-97d3-953d8bcf921f%2F71308a40-1772-47f7-8e51-456fac85fd55%2Fj70ka6n_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Is there a reason why the equation exists at equilibrium?
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)