A block of mass m is released from rest on a frictionless triangular block of mass M and angle of inclination (as shown below). The triangular block rests on a frictionless horizontal surface. In homework 8, you found the Lagrangian for this system in terms of the generalized coordinates shown below. m x1 M Ꮎ The Lagrangian is: 1 L = - ½ M²] + ½ mm 2 2m (i (x² + (1 + 2)² tan²0) + mg (x1+x2) tan 0 Use Lagrange's Equations to find the equations of motion for the system.

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A block of mass m is released from rest on a frictionless triangular block of mass M and angle
of inclination (as shown below). The triangular block rests on a frictionless horizontal surface.
In homework 8, you found the Lagrangian for this system in terms of the generalized coordinates
shown below.
m
x1
M
Ꮎ
The Lagrangian is:
1
L =
- ½ M²] + ½ mm
2
2m
(i
(x² + (1 + 2)² tan²0) + mg (x1+x2) tan 0
Use Lagrange's Equations to find the equations of motion for the system.
Transcribed Image Text:A block of mass m is released from rest on a frictionless triangular block of mass M and angle of inclination (as shown below). The triangular block rests on a frictionless horizontal surface. In homework 8, you found the Lagrangian for this system in terms of the generalized coordinates shown below. m x1 M Ꮎ The Lagrangian is: 1 L = - ½ M²] + ½ mm 2 2m (i (x² + (1 + 2)² tan²0) + mg (x1+x2) tan 0 Use Lagrange's Equations to find the equations of motion for the system.
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