7-20. A circular hoop is suspended in a horizontal plane by three strings, each of length l, which are attached symmetrically to the hoop and are connected to fixed points lying in a plane above the hoop. At equilibrium, each string is vertical. Show that the frequency of small rotational oscillations about the vertical through the center of the hoop is the same as that for a simple pendulum of length 1.
7-20. A circular hoop is suspended in a horizontal plane by three strings, each of length l, which are attached symmetrically to the hoop and are connected to fixed points lying in a plane above the hoop. At equilibrium, each string is vertical. Show that the frequency of small rotational oscillations about the vertical through the center of the hoop is the same as that for a simple pendulum of length 1.
Related questions
Question
Theoretical Mechanics
Topic: Lagrangian and Hamiltonian Dynamics
>Generate the necessary equations to this system.
> Use the equations of motion
>Generate equations for (x,y), (Vx,Vy), V², T
> L = T-U
---
For study purposes. Thank you!
Transcribed Image Text:7-20. A circular hoop is suspended in a horizontal plane by three strings, each of length
l, which are attached symmetrically to the hoop and are connected to fixed points
lying in a plane above the hoop. At equilibrium, each string is vertical. Show that
the frequency of small rotational oscillations about the vertical through the center
of the hoop is the same as that for a simple pendulum of length 1.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 8 images
