Page 1 of 1
= = = = = Consider a flat rectangular plate of mass M = 0.968 kilogram, width W = 0.037 meter, and breadth B = 0.089 met
Posted: Tue Apr 26, 2022 4:03 pm
by answerhappygod
- Consider A Flat Rectangular Plate Of Mass M 0 968 Kilogram Width W 0 037 Meter And Breadth B 0 089 Met 1 (202.1 KiB) Viewed 38 times
= = = = = Consider a flat rectangular plate of mass M = 0.968 kilogram, width W = 0.037 meter, and breadth B = 0.089 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 = 80152050366 pascals and diameter D = 0.003 meter and length L = 0.101 meter such that the wire is in a vertical orientation that is coincident with the z-axis, and the plate rotates by an angle in the horizontal plane. Measurements reveal that the angle may be modelled as 0 = 0.096 sin(Wnt + 1.658465) 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 kt, the natural angular frequency wn, the plate initial rotational displacement Co, and the plate initial rotational velocity 0. For the supplied information determine: e) the plate initial rotational velocity 0 0 / [rad/s] to 4 significant figures Answer: