Question: Hi I need help understanding this problem, each step basically . I did it but I got it wrong. Simple Pendulum with Air Resistance PROJECT
Hi I need help understanding this problem, each step basically . I did it but I got it wrong.

Simple Pendulum with Air Resistance PROJECT 1 A simple pendulum consisting of a 1 kg mass attached to an inextensible 1 m long rod (with negligible mass) is put in motion. At time t = 0 the mass is released from a 30 angle, measured counterclockwise with respect to the vertical, with no initial velocity. We now include air resistance in our model, by assuming it imparts a damping force equal to twice the angular velocity of the mass. Find a function that describes the position of the pendulum at any time t and determine whether the system is underdamped, overdamped or critically damped. Your solution should address all the following points (use complete sentences to explain your reasoning for each item below) 0 Set up an appropriate spacial coordinate system (axes, origin) with picture 0 Dene all the variables you use and clearly describe what they represent 0 Translate the information into mathematical terms, using the variables you chose 0 Describe the physical assumptions /laws used 0 Set up a differential equation to describe the motion of the pendulum o Specify the initial conditions 0 Linearize the equation, as done in the previous problems a Solve the initial value problem, showing all steps and computations (no calculators allowed) 0 Determine whether the system is underdamped, overdamped or critically damped
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