A damped rigid pendulum satisfies the equation 0 + 10 +- 0=0, where ( = 40cm, D = 0.20s and g = 9.8m/s, and the bob has mass m = 3kg. (a) Find the angular frequency of oscillations. By how much does it differ from g ? (b) What is the quality factor Q of this oscillator? (c) At t = 0, the pendulum is suddenly hit by a hammer; immediately after the hit, its position is still 0 = 0 but its kinetic energy is 1.5J. Find a formula for its position (t) at later times