Exercise 1.2.3 Consider again a bead of mass m frictionlessly gliding on a wire which rotates with constant angular velo

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Exercise 1 2 3 Consider Again A Bead Of Mass M Frictionlessly Gliding On A Wire Which Rotates With Constant Angular Velo 1 (58.57 KiB) Viewed 49 times

Exercise 1.2.3 Consider again a bead of mass m frictionlessly gliding on a wire which rotates with constant angular velocity w. Different from Exercise 1.2.1 the bead shall now additionally move in the earth's gravitational field (Fig. 1.22). 1. Which constraint forces are present? 2. Formulate the Lagrangian function for the bead! 3. Determine the Lagrange equation of motion and find its general solution! 4. Use the initial conditions r(i = 0) = r: (t = 0) = 0. - How large must be at the least to force the bead to move outwards for 10? 5. How would we have to treat the problem in Newton's mechanics? Fig. 1.22 Bead on a rotating wire in the earth's gravitational field