Problem 3A ball of mass m, slides over a evsliding inclined plane of massM and angle a. Denote by X,the coordinate of O' with re-spect to 0, and by (x.y) thecoordinate of m with respectto O'(see figure below)mMa1. Calculate the degree of freedom of the system2. Find the velocity of m with respect to 0.3. Write the expression of the Lagrangian function4. Derive the Euler Lagrange equations5. Find r" and X" in terms of the masses (m,M), angle a and g

The expression for the degree of freedom is given as, F=3N-K Here, N is the number of particles,…

A ball of mass m, slides over a ếy 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 M a O' 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

A ball of mass m, slides over a ếy 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 M a O' 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

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 56P: (a) What is the momentum of a 2000-kg satellite orbiting at 4.00 km/s? (b) Find the ratio of this...

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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
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