A body of mass m is attached to a rope, inextensible and lightweight, and rotates in a horizontal plane, this is a conical pendulum. The length of the rope is equal to L, and the angle that the rope makes with the vertical is equal to θ. Determine:
a) The tension force T on the rope;
b) The angular speed ω of rotation;
c) the period τ of the oscillations;
d) the tangential speed of the body.