Unformatted text preview: a particular x,y coordinate. c) A particle moving in a vertical plane is constrained to be a distance l from the origin. d) A unicycle (thin disc of mass m ) is constrained to roll without slipping on a horizontal surface (ignore the z-direction, i.e. assume the disc is always in contact with a horizontal plane). Problem 2. Use Lagrange multipliers to ﬁnd the tension in the simple pendulum. Problem 3. Greenwood 6-14. Problem 4. Use Lagrange multipliers to ﬁnd the constraint forces in the system given in Greenwood Example 6-6. Page 1 of 1...
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- Spring '08
- Constraint, Horizontal plane, Greenwood, vertical plane, Aerospace Dynamics II