En i interior de un campo magnetico
uniforme se coloca un alambre conductor
recto que lleva una corriente de 10 a.
la magnitud del campo magnetico es de 0.5 t
el angulo entre el conductor y el campo magnetiro
es de 45°
calcular la magnitud de la fuerza por unidad de longitud
que siente el alambre

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.