(Solved): Question Pre-1: The function shown in Graph \( 1.1 \) has the form given in Equation (3) of the int ...

Question Pre-1: The function shown in Graph \( 1.1 \) has the form given in Equation (3) of the introduction to this lab. From the graph, estimate the value of the amplitude \( A \) and the angular frequency \( \omega \). Question Pre-2: The angular position of a torsion pendulum as a function of time is given by \( \theta(t)=A \cos (\omega t+\phi) \). a) What do you expect the maximum (absolute) value of the angular velocity \( d \theta \) d dt to be? Show your work. Write your answer here and in Prediction \( 1.1 \) for reference during the lab. b) What do you expect the maximum value of the angular acceleration \( d^{2} \theta / d t^{2} \) to be? Show your work. Write your answer here and in Prediction \( 1.2 \) for reference during the lab. Figure \( 1.2 \) Question Pre-3: A reference ring with a moment of inertia Ic about tne axis rests on a solid disk torsion pendulum with a moment of inertia lo, as shown in Figure 1.2. a) What is the period To for motion with the disk alone? Assume that the torsion constant of the wire is \( \kappa \). (See Equation (7) in the introduction.) b) What is the period of motion. \( T_{1} \), for the combined system (i.e., when the reference ring is placed on top of the disk, and both disks are rotating with each other)? Assume that the torsion constant of the wire is \( \kappa \). (See Equation (7) in the introduction.) c) Use the expressions from a) and b) to derive an expression for \( I_{0} \) in terms of \( T_{0}, T_{1} \), and \( I_{c} \). Write your answer here and by Question \( 2.3 \) for reference during the lab.