Aparticle of mass m moves along the r-axis under the influence of a time- dependent force given by fr, t) = -kret/7, where k and 7 are positive constants. (a) compute the lagrangian function. [7 points) (b) find the lagrangian equation of motion explicitly. (7 points) (c) compute the hamiltonian function in terms of the generalized coordinate and generalized momentum. (show clearly how you got this.) (7 points] (d) determine hamilton's equations of motion explicitly for this particular problem (not just general formulae). [7 points) (e) does the hamiltonian equal the total energy of the mass? explain. [6 points) (f) is the total energy of the mass conserved?

if you already have the answer to (a), then just work out how many periods there are in 1 minute, and that's the answer to (c).

answer

procedural programming, object-oriented programming

explanation

procedural programming is a type of computer programming language that specifies a series of well structured steps and procedures   within its development period of time. it contains a systematic order of statements, functions and commands to complete a computational task or program. it is centered on creating procedures. while object oriented programming is a programming language that is centered on creating objects rather that actions and data rather than logic.. it has four principles which are inheritance, polymorphism, abstraction and encapsulation