Answer Happy

= = Consider a flat rectangular plate of mass M = 0.642 kilogram, width W = 0.038 meter, and breadth B = 0.073 meter with a negligible thickness t that lies in the horizontal xy plane. The plate is suspended from a thin piece of piano wire with a shear modulus of G 74115584937 pascals and diameter D = 0.002 meter and length L = 0.092 méter such that the wire is in a vertical orientation that is coincident with the z-axis, and the plate rotates by an angle 0 in the horizontal plane. Measurements reveal that the angle may be modelled as 0 = 0.092 sin(Wnt + 1.695171) where the angle 0 is in radians and the phase lago 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 Co, and the plate initial rotational velocity @o For the supplied information determine: d) the plate initial rotational displacement Co / [rad) to 4 significant figures