Question

5-7 A particle of mass m moves under the action of gravity on the surface of a horizontal cylinder.

a) Obtain the Lagrange motion equations for the particle.

b) If the particle slides in a vertical plane having left the top of the cylinder at a very small speed, find the reaction force as a function of the position.

c) At what point will the cylinder particle separate?

Answer #1

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b) Obtain the Lagrange equations of motion for the
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A
particle of mass m=0.2kg moves in the xy plane subject to a force
such as that its position as a function of time is given by the
vector r(t)= (3.0m/s2)t*2i+[12.0m-(2.0m/s*3)t*3]j
what is the magnitude of the torque on the particle about the
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A particle of mass m moves under a force F = −cx^3 where c is a
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The speed of the object at t=0 is zero.
The acceleration of the object is negative C.
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