Fig. 6.8 M m 0 6.9 Problems Section 6.1: The Euler-Lagrange equations 6.1. Moving plane ** A block of mass m is held motionless on a frictionless plane of mass M and angle of inclination (see Fig. 6.8). The plane rests on a frictionless horizontal surface. The block is released. What is the horizontal accel- eration of the plane? If you haven't already done so, try solving it using F = ma. You will then have a greater appreciation for the Lagrangian method.)
Fig. 6.8 M m 0 6.9 Problems Section 6.1: The Euler-Lagrange equations 6.1. Moving plane ** A block of mass m is held motionless on a frictionless plane of mass M and angle of inclination (see Fig. 6.8). The plane rests on a frictionless horizontal surface. The block is released. What is the horizontal accel- eration of the plane? If you haven't already done so, try solving it using F = ma. You will then have a greater appreciation for the Lagrangian method.)
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Introduction to Classical Dynamics
The Lagrangian Method
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Transcribed Image Text:Fig. 6.8
M
m
0
6.9 Problems
Section 6.1: The Euler-Lagrange equations
6.1. Moving plane **
A block of mass m is held motionless on a frictionless plane of mass M
and angle of inclination (see Fig. 6.8). The plane rests on a frictionless
horizontal surface. The block is released. What is the horizontal accel-
eration of the plane?
If you haven't already done so, try solving it using F = ma. You will
then have a greater appreciation for the Lagrangian method.)
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