Consider a flat rectangular plate of mass M = 1.191 kilogram, width W = 0.038 meter, and breadth B = 0.07 meter with a n

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Consider A Flat Rectangular Plate Of Mass M 1 191 Kilogram Width W 0 038 Meter And Breadth B 0 07 Meter With A N 1 (119.61 KiB) Viewed 22 times

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 sy-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 0 in the horizontal plane. Measurements reveal that the angle may be modelled as 0 = 0.096 sin(wnt + 1.73873) where the angle 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 kų, the natural angular frequency wn, the plate initial rotational displacement o, and the plate initial rotational velocity é, For the supplied information determine: e) the plate initial rotational velocity è , / [rad/s] to 4 significant figures