Aparticle of mass m is constrained to move on a circle of radius r. the circle in tur rotates with constaut angular velocity about an axis orthogonal to its plane and passing through some point p on its circumference. show that (a) the motion of the particle with respect to an axis passing through p and the center of the circle is that of a planar pendulum in uniform gravitational field. (b) calculate the total energy e and angular momentum l. show that e -l-s is a constant of the motion. are e& l themselves constants?