Using Lagrange's equations, obtain the equations of motion of the system which consists of a disk of mass Mand radius R, to which a pendulum of mass m and length Lis attached by a pin joint at D. Friction is sufficient to prevent slip of the disk while it rolls (no slip). The force Fis always horizontal. (1aisk =MR2,1Sar =ml2)

Using Lagrange's equations, obtain the equations of motion of the system which consists of a disk of mass Mand radius R, to which a pendulum of mass m and length Lis attached by a pin joint at D. Friction is sufficient to prevent slip of the disk while it rolls (no slip). The force Fis always horizontal. (1aisk =MR2,1Sar =ml2)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

THE MOTION IS ON THE HORIZONTAL PLANE (NO GRAVITY

Using Lagrange's equations, obtain the equations of motion of the system which
consists of a disk of mass Mand radius R, to which a pendulum of mass m and length L is attached
by a pin joint at D. Friction is sufficient to prevent slip of the disk while it rolls (no slip). The force
Fis always horizontal. (Taisk =MR2, 1ar =ml? )
M, R
De
0.8R
G
т, L

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