Hi everyone i really need help with this, unfortunately my "signals and systems" professor dropped this on us without even covering it in class. From my earlier physics class i can solve for theta in a ballistic pendulum, but since this one has a string attached to it, i really have no clue how to write the torque equation for this. Please any help or hints will be appreciated. Thanks Quesion: A pendulum is initially at rest. It is fixed to a horizontal axis by a rigid rod length of l= 100cm (both masses of the axis and rod are negligible). A spring of torsional stiffness K=196n*m/rad and a torsional dashpot of damping coefficient B=88.54n*m*sec/rad have been connected to the axis. A bullet of mass m=100g traveling with a speed v is fired into the pendulum with a bob mass M = 19.9 kg at time t = 0 and remains lodged therein. 1.Find the differential equation relating the angular displacement θ to the input v. What is the order of the system? Determine the state and output equations in matrix form. Use Matlab to find and plot the unit impulse response and determine the total output response for the inputs of v(t): 200 m/s and 800 m/s 2.Discretize the system and repeat question 1.