Suppose the swinging pendulum described in the lead example of this chapter is 2 ft long and that g 32 17 ft s2 With h 0 1 s, compare the angle obtained for the following two initial value problems at t 0, 1, and 2 s a d2 dt2 g L sin 0, (0) 6, '(0) 0, b d2 dt2 g L 0, (0) 6 , ' (0) 0, ...

Suppose the swinging pendulum described in the lead example of this chapter is 2 ft long and

Question:

Suppose the swinging pendulum described in the lead example of this chapter is 2 ft long and that g = 32.17 ft/s2. With h = 0.1 s, compare the angle θ obtained for the following two initial-value problems at t = 0, 1, and 2 s.
a. d2θ/dt2 + g/L sin θ = 0, θ(0) = π/6, θ '(0) = 0,
b. d2θ/dt2 + g/L θ = 0, θ(0) = π/6 , θ' (0) = 0,