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Question 3: Simple Pendulum Figure 3 A simple pendulum consists of a mass m attached to a weightless string of length L (see Figure 3 above). The angle that the pendulum makes with the vertical during its swinging motion is given by 0. a) Using small-angle approximation, the equations of motion of the pendulum can be modelled using Ö +20 = 0 ODE Egn (3) where g is the acceleration due to gravity. ) State suitable initial conditions for this model. i) Using the initial conditions you stated in part a), solve the ordinary differential equation above (ODE Egn (3) to find a particular solution for the motion. i) What makes the model above unrealistic?

Question 3: Simple Pendulum Figure 3 A simple pendulum consists of a mass m attached to a weightless string of length L (see Figure 3 above). The angle that the pendulum makes with the vertical during its swinging motion is given by 0. a) Using small-angle approximation, the equations of motion of the pendulum can be modelled using Ö +20 = 0 ODE Egn (3) where g is the acceleration due to gravity. ) State suitable initial conditions for this model. i) Using the initial conditions you stated in part a), solve the ordinary differential equation above (ODE Egn (3) to find a particular solution for the motion. i) What makes the model above unrealistic?

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Question 3: Simple Pendulum Figure 3 A simple pendulum consists of a mass m attached to a weightless string of length L (see Figure 3 above). The angle that the pendulum makes with the vertical during its swinging motion is given by 8. a) Using small-angle approximation, the equations of motion of the pendulum can be modelled using Ö +0 = 0 ODE Egn (3) where g is the acceleration due to gravity. i) State suitable initial conditions for this model. i) Using the initial conditions you stated in part a), solve the ordinary differential equation above (ODE Eqn (3)] to find a particular solution for the motion. i) What makes the model above unrealistic?
Transcribed Image Text:Question 3: Simple Pendulum Figure 3 A simple pendulum consists of a mass m attached to a weightless string of length L (see Figure 3 above). The angle that the pendulum makes with the vertical during its swinging motion is given by 8. a) Using small-angle approximation, the equations of motion of the pendulum can be modelled using Ö +0 = 0 ODE Egn (3) where g is the acceleration due to gravity. i) State suitable initial conditions for this model. i) Using the initial conditions you stated in part a), solve the ordinary differential equation above (ODE Eqn (3)] to find a particular solution for the motion. i) What makes the model above unrealistic?
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