Determine hamiltons equation of motion

Assignment Help Physics

Reference no: EM13648975

A massless spring of length b and spring constantk connects two particles of masses m1 andm2. The system rests on a smooth table and may oscillateand rotate.

a) Determine the Lagrange's equations of motion.

b) What are the generalized momenta associated with any cycliccoordinates.

c) Determine Hamilton's equation of motion.

Reference no: EM13648975

Questions Cloud

Find what is the centripetal acceleration of the car : A car is negotiating a flat circular curve of radius 50 m with aspeed of 20 m/s. What is the centripetal acceleration of the car

What is his average acceleration for the entire race : A world-class sprinter accelerates to his maximum speed in4.1 s. He then maintains this speedfor the remainder of a 100-m race, finishing with a total time of10.2 s. What is his average acceleration for the entire race

What is the speed of each when they are abreast : An automobile and a truck start from rest atthe same instant, with the automobile initially at some distancebehind the truck. What is the speed of each when they are abreast

Compute how much will the wire stretch : A mass of 50 kg is suspended from a steel wire of diameter 1.0 mmand length 11.2 m. How much will the wire stretch

Determine hamiltons equation of motion : A massless spring of length b and spring constantk connects two particles of masses m1 andm2. Determine Hamilton's equation of motion

Estimate the angle that the rod makes with the horizontal : A uniform 1.4-kg rod that is 0.75 m long is suspended at rest from the ceiling by two springs, one at each end. Find the angle that the rod makes with the horizontal

What are the focal lengths for the two different colors : The index of dispersion for flint glass is 1.615 for light ofwavelength 700 nm and 1.665 for light of wavelength 400nm. What are the focal lengths for the two different colors

What is the diameter of the smallest overall image : A point source of white light is located 3 meters from the lensin the previous problem, on its axis. what is the diameter of the smallest overall image of the pointsource that the lens creates

Estimate what is the length of the driveway : a 7900 kg car accelerates from rest at the top of a drivewaythat is sloped at an angle of 16.7 degrees with the horizontal. what is the length of the driveway

User Account

All Pages