In the absence of friction, small free motions of the pendulum are governed by the equation where (t) is the angle of the pendulum inclination at time t and g is the acceleration due to the gravity. (a) Find the frequency of the oscillations of the pendulum. (b) How does the frequency change when the length of the rod doubles? (c) How does the frequency change when the mass of the object doubles? d) On the moon the acceleration due to the gravity is 6 times less than on the earth. How does the frequency change when the pendulum is on the moon?