# The equation of motion for a pendulum whose base is accelerating horizontally with an acceleration a(t) is L + g

## Question:

Lθ + g sin θ = a(t)cosθ

Suppose that g = 9.81 m/s2, L = 1 m, and θ (0) = 0. Solve for and plot θ (f) for 0 ≤ / ≤ 10 s for the following three cases.

a. The acceleration is constant: a = 5 m/s2, and θ (0) = 0.5 rad.

b. The acceleration is constant: a = 5 m/s2, and θ (0) = 3 rad.

c. The acceleration is linear with time: a = 0.5t m/s2, and θ (0) = 3 rad.

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