Physics, 19.03.2020 01:33 reagancunningham2004
A stiff wire 35.5 cm long is bent at a right angle in the middle. One section lies along the z-axis and the other is along the line y=2x in the xy-plane. A current of 22.5 A flows in the wire-down the z-axis and out the line in the xy-plane. The wire passes through a uniform magnetic field given by B = (.318 i)T.
Determine the magnitude and the direction of the total force on the wire.
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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.
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A stiff wire 35.5 cm long is bent at a right angle in the middle. One section lies along the z-axis...
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