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- spect to 0, and by (x,y) the Coordinate of m with respect to O'(see figure below) M a O' -x- éx 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 4. Derive the Euler Lagrange equations 5. Find z" and X" in terms of the masses (m,M), angle a and g tar
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- spect to 0, and by (x,y) the Coordinate of m with respect to O'(see figure below) M a O' -x- éx 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 4. Derive the Euler Lagrange equations 5. Find z" and X" in terms of the masses (m,M), angle a and g tar
Related questions
Question
Transcribed Image Text:Problem 3
A ball of mass m, slides over a ēy
sliding inclined plane of mass
M and angle a. Denote by X,
the coordinate of O' with re
spect to 0, and by (x.y) the
Coordinate of m with respect
to O'(see figure below)
1.
m
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 terms 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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
