ช่วงเวลาในการเรียน

ช่วงเวลาในการเรียน

ผลลัพธ์ (อังกฤษ) 1:

Time interval in the study.

ผลลัพธ์ (อังกฤษ) 2:

Time to learn

ผลลัพธ์ (อังกฤษ) 3:

1.3.4 Numerical solution of simple harmonic motion3.When solving the equation of motion for an oscillating pendulum we made use of.The small-angle approximation sin θ, θ when θ is small. This made the equation.Of motion much easier to solve. However an alternative way without resorting, to.The small-angle approximation is to, solve the equation numerically. The essential.Idea is that if we know the position and velocity of the mass at time t and we know.The force acting on it then we can use this knowledge to obtain good estimates of.These parameters at time (T + δ T). We then repeat this process step by step over,,,The full period of the oscillation to trace out the displacement of the mass with.Time. We can make these calculations as accurate as we like by making the time.Interval δ t sufficiently small. To demonstrate this approach we apply it to the simple.Pendulum. Figure 1.18 shows a simple pendulum and the angular position of the.Mass at three instants of time each separated by, δ t i.e. At t, (T + δ T) and (T + 2 δ T).Using the notation ˙ θ. (T) and ¨ θ. (T) for D θ (T) / dt and D2 θ (T) / DT2 respectively we can,,,Write the equation of motion of, the mass Equation (1.29).