Answer Happy

Consider a flat rectangular plate of mass M = 1.191 kilogram, width W = 0.038 meter, and breadth B = 0.07 meter with a negligible thickness t that lies in the horizontal cy-plane. The plate is suspended from a thin piece of piano wire with a shear modulus of G = 79686245655 pascals and diameter D = 0.004 meter and length L = 0.084 meter such that the wire is in a vertical orientation that is coincident with the z-axis, and the plate rotates by an angle o in the horizontal plane. Measurements reveal that the angle may be modelled as 0 0.096 sin(wnt + 1.73873) where the angle 0 is in radians and the phase lag o is in radians. --- It is desired to calculate the moment of inertia I, the torsional spring constant kt, the natural angular frequency wn, the plate initial rotational displacement o, and the plate initial rotational velocity ... For the supplied information determine: c) the natural angular frequency wn/ (rad/s) to 4 significant figures