6.15. Pendulum support on an inclined plane ** A mass M is free to slide down a frictionless plane inclined at an angle B. A pendulum of length and mass m hangs from M; see Fig. 6.18 (assume that M extends a short distance beyond the side of the plane, so the pendulum can hang down). Find the equations of motion. For small oscillations, find the normal modes and their frequencies. Fig. 6.18 M m

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Introduction to Classical Dynamics The Lagrangian Method Please I need a complete solution of this, thank you.
6.15. Pendulum support on an inclined plane **
A mass M is free to slide down a frictionless plane inclined at an
angle ß. A pendulum of length and mass m hangs from M;
see Fig. 6.18 (assume that M extends a short distance beyond the side
of the plane, so the pendulum can hang down). Find the equations
of motion. For small oscillations, find the normal modes and their
frequencies.
Fig. 6.18
M
m
Transcribed Image Text:6.15. Pendulum support on an inclined plane ** A mass M is free to slide down a frictionless plane inclined at an angle ß. A pendulum of length and mass m hangs from M; see Fig. 6.18 (assume that M extends a short distance beyond the side of the plane, so the pendulum can hang down). Find the equations of motion. For small oscillations, find the normal modes and their frequencies. Fig. 6.18 M m
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