Problem 3 A ball of mass m, slides over a sliding inclined plane of mass M and angle a. Denote by X, the coordinate of O' with re- m spect to O, and by (x.y) the Coordinate of m with respect M a O' to O'(see figure below) 1. Calculate the degree of freedom of the system 2. Find the velocity of m with respect to 0. 3. Write the expression of the Lagrangian function
Problem 3 A ball of mass m, slides over a sliding inclined plane of mass M and angle a. Denote by X, the coordinate of O' with re- m spect to O, and by (x.y) the Coordinate of m with respect M a O' to O'(see figure below) 1. Calculate the degree of freedom of the system 2. Find the velocity of m with respect to 0. 3. Write the expression of the Lagrangian function
Related questions
Question
Transcribed Image Text:Problem 3
A ball of mass m, slides over a
sliding inclined plane of mass
M and angle a. Denote by X,
the coordinate of O' with re-
m
spect to 0, and by (x.y) the
Coordinate of m with respect
M
a
O'
to O'(see figure below)
1. Calculate the degree of freedom of the system
2. Find the velocity of m with respect to O.
3. Write the expression of the Lagrangian function
4. Derive the Euler Lagrange equations
5. Find z" and X" in ters of the masses (m,M), angle a and g
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 1 images
