A 450v , 25hp , 60Hz , four pole delta connected wound rotor induction motor has the following impedance in ohms per phase refered to the stator circuit . R1=0.641 R2=0.332 X1=1.106 X2=0.464 Xm=26.3
1: what is the maximum torque of this motor? At what speed and slip does it occur?.
2: what is the stating torque of this motor?
3: if the rotor resistance is doubled , what is the speed at which the
maximum torque now occur?

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.

(**i would really appreciate if this was answered soon** ) which pair of quantities includes one quantity that increases as the other decreases during simple harmonic motion?

What causes the formation of ocean currents?