Chose the correct answer: 3. The statics is the one in charge of studying the bodies: a) In motion b) At rest c) In equilibrium d) All of the above e) None of the above

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1) Obtain a state space model of the system. 2) Given m =1 kg, k = 1 N/m and b = 1 N.s/m is the system Controllable? 3) For what values of k,m,b the system is stable? Explain your answer?

You are learning to play the violin. One end of the string is vibrating from the bow running along one end. The other end is tied down. The length of the string we will be looking at is 30 cm and the total mass of the string is 0,32 g. We will be modeling this as a standing wave on a string. You being to play the violin and play a note which has a frequency of 440 Hz. You (having incredible eyesight) see that there are 3 anti-nodes on the string forming a perfect sinusoidal wave (shown in diagram). L i) What is the wavelength of this standing wave? ii) What is the speed of the traveling waves that make up this standing wave? iii) What is the tension of the string? iv) Suppose you increase the tension of the string until you get a new standing wave. Will this standing wave have two antinodes or four antinodes? Explain. (You are still at a frequency of 440 Hz)

please help and show work.