The goal is to determine the position of the block x (t) as a function of...

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The goal is to determine the position of the block x (t) as a function of time in terms of w and init. It is known that a general solution for the displacement from equilibrium of a harmonic oscillator is x(t) = C cos (wt) + S sin (wt), where C, S, and w are constants. (Figure 2) Your task, therefore, is to determine the values of C and S in terms of w and init. Figure L k imm x = 0 Xnew (1) < m 3 of 3 Part C What is the equation x (t) for the block? Express your answer in terms of t, w, and init. View Available Hint(s) Hint 1. Start with the general solution x (t) = Submit VE X Incorrect; Try Again; 5 attempts remaining The correct answer does not depend on: C. Part D Previous Answers Request Answer Now, imagine that we have exactly the same physical situation but that the x axis is translated, so that the position of the wall is now defined to be x = 0. ( Figure 3) The initial position of the block is the same as before, but in the new coordinate system, the block's starting position is given by new (t = 0) = L + Xinit. *new (t) = Find the equation for the block's position new (t) in the new coordinate system. Express your answer in terms of L, init, W (Greek letter omega), and t. View Available Hint(s) P The goal is to determine the position of the block x (t) as a function of time in terms of w and init. It is known that a general solution for the displacement from equilibrium of a harmonic oscillator is x(t) = C cos (wt) + S sin (wt), where C, S, and w are constants. (Figure 2) Your task, therefore, is to determine the values of C and S in terms of w and init. Figure L k imm x = 0 Xnew (1) < m 3 of 3 Part C What is the equation x (t) for the block? Express your answer in terms of t, w, and init. View Available Hint(s) Hint 1. Start with the general solution x (t) = Submit VE X Incorrect; Try Again; 5 attempts remaining The correct answer does not depend on: C. Part D Previous Answers Request Answer Now, imagine that we have exactly the same physical situation but that the x axis is translated, so that the position of the wall is now defined to be x = 0. ( Figure 3) The initial position of the block is the same as before, but in the new coordinate system, the block's starting position is given by new (t = 0) = L + Xinit. *new (t) = Find the equation for the block's position new (t) in the new coordinate system. Express your answer in terms of L, init, W (Greek letter omega), and t. View Available Hint(s) P

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Part C To determine the values of C and S in terms of and f we can use the given equation f... View the full answer