Question: Sir i am stuck for this question (5 points) Consider a pendulum of length Lin m. It should have an angle of deflection Oin rad,

Sir i am stuck for this question

(5 points) Consider a pendulum of length Lin m. It should have an angle of deflection Oin rad, The DGL applies: + + sin 0 = 0 dt2 where should be used of = 9.8 m s for the acceleration due to gravity. The approximation formula sin () ~ dcan be used for small deflections , which makes the DGL linear. A. Find the equation for a pendulum with a length of 1.5 m and an initial deflection of 0.5 rad and an initial speed of 0.3 rad / s. B. When does the pendulum swing for the first time? C. What is the maximum deflection D. How long will it take for the pendulum to reach its greatest deflection on the other side? E. How long does a complete oscillation last (back and forth)?(2 points) The following DGL is given: y" tay't By =t+ est. Assume that the particulate solution of the differential equation can be given as follows: Up(t) = Alt2 + Aot + Botest. Use it to determine the constants oand 3. =

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