Q2. A particle of mass m moves in a cylindrical symmetric force field given by k F(r,4,z,t) =e-t/h r2 where k and t are constants.
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Derive the particle's (a) Lagrange's equations of motion, and (b) Hamilton's equation of motion.
![Q2. A particle of mass m moves in a cylindrical symmetric force field given
by
k
F(r, ,z, t) =;
where k and t are constants.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ce785da-9cb6-4bc4-81bd-42097436a420%2F74c5771e-d463-4976-8e82-c37bbe7072c9%2Fkh551v_processed.png&w=3840&q=75)
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- For vector field v(x, y) = (-xy, y), find all points P such that the amount of fluid flowing in to Pequals the amount of fluid flowing out of P. Select the correct answer below: O At all points P O At all points P, where y s0 O At all points P, where y = 1 O At all points P, where y = xAn 8-kg slender rod of length L is attached to collars that can slide freely along the guides shown. Knowing that the rod is in equilibrium and that β= 30°, determine (a) the angle θ that the rod forms with the vertical, (b) the reactions at A and B.determine the general solution to thegiven differential equation (D2 − 2D + 2)2(D2 − 1)y = 0.
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