Problem 3 The pictured homogeneous circular disk of mass m and radius r is supported without friction by the pivot at point A. The circular disk moves under the influence of gravity and is released at time t = 0 from the position o, with initial angular velocity o- Given: m; r; 4o; o: g:(Initial conditions: 9(t = 0) = 90, (t = 0) = ¢0) Find: Determine, 1. the differential equation of the motion with d'Alembert's principle, 2. the eigenfrequency w as well as the function @(t) under the assumption that the angle p is small.
Problem 3 The pictured homogeneous circular disk of mass m and radius r is supported without friction by the pivot at point A. The circular disk moves under the influence of gravity and is released at time t = 0 from the position o, with initial angular velocity o- Given: m; r; 4o; o: g:(Initial conditions: 9(t = 0) = 90, (t = 0) = ¢0) Find: Determine, 1. the differential equation of the motion with d'Alembert's principle, 2. the eigenfrequency w as well as the function @(t) under the assumption that the angle p is small.
Related questions
Question
Transcribed Image Text:Problem 3
The pictured homogeneous circular disk of mass m and radius r is supported without friction by the
pivot at point A. The circular disk moves under the influence of gravity and is released at time t = 0
from the position e, with initial angular velocity o-
Given:
m; r; 4o ; 9o ; g; (Initial conditions: (t = 0) = Po , $(t = 0) = 90)
Find:
Determine,
1. the differential equation of the motion with d'Alembert's principle,
2. the eigenfrequency w as well as the function P(t) under the assumption that the angle
p is small.
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 7 steps with 2 images
