Answered: Use the Hamiltonian method to find the… | bartleby

Related questions

Question

100%

Use the Hamiltonian method to find the equation of motion of a particle of mass m

constrained to move on the surface of a cylinder defined by x2+y 2=R2

.The particle is subject

to a force directed toward the origin and proportional to the distance of the particle from the

origin F= -kr

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

At the instant of the figure, a 1.00 kg particle P has a position vector 7 of magnitude 5.40 m and angle 01 = 41.0° and a velocity vector v of magnitude 4.50 m/s and angle 62 = 32.0°. Force F ,of magnitude 6.20 N and angle 03 = 32.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque acting on the particle? F (a) Number i Units (b) Number i Units
A mass mm is suspended from a massless spring of natural length 90 cm with the spring constant k=10 Nm-1 and causes the spring to extend by 8.6 cm. Assuming the gravitational field strength g=9.8g, calculate the value of the mass on the spring.
A particle of mass m = 1.50 kg moves along one dimension and is subject to a single force, whose potential energy function is given by U(x) = x4 – 2x2 + 4 (where U is measured in Joules and x is measured in meters). At the moment when the particle is located at position x = 1.50 m, its speed is v = 2.50 m/s. %3D
Problem 4: Starting from the origin at time t = 0, a particle is given an initial velocity vo along the +x axis. The particle's motion can be described by v(x) = vo(1kx)¹/3 where k is a positive constant. (a) Determine the retarding force F(v) as a function of velocity. [Note: Don't write your final answer in the form F(x, v)! You know v(r), so make sure your expression contains no explicit dependence on z.] (b) Determine x(t), the position of the particle as a function of time. (c) Find the time and place where the particle comes instantaneously to rest, tƒ and xƒ. For each part, check your result for dimensional consistency and limiting-case behavior.