Problem 3 A ball of mass m, slides over a sliding inclined plane of mass M and angle a. Denote by X. the cordinate of O' with re spect to 0, and by (xy) the coordinate of m with respoct to O'(e figure below) 1. Calculate the degrwe of freedom of the system 2. Find the velocity of m with nespect to 0. 3. Write the expnossion 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
Problem 3 A ball of mass m, slides over a sliding inclined plane of mass M and angle a. Denote by X. the cordinate of O' with re spect to 0, and by (xy) the coordinate of m with respoct to O'(e figure below) 1. Calculate the degrwe of freedom of the system 2. Find the velocity of m with nespect to 0. 3. Write the expnossion 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
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