Page 1 of 1

= a = = Consider a flat rectangular plate of mass M = 0.968 kilogram, width W = 0.037 meter, and breadth B = 0.089 meter

Posted: Tue Apr 26, 2022 4:03 pm
by answerhappygod
A Consider A Flat Rectangular Plate Of Mass M 0 968 Kilogram Width W 0 037 Meter And Breadth B 0 089 Meter 1
A Consider A Flat Rectangular Plate Of Mass M 0 968 Kilogram Width W 0 037 Meter And Breadth B 0 089 Meter 1 (201.4 KiB) Viewed 41 times
= a = = 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 xy-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. 0 Measurements reveal that the angle may be modelled as 0 = 0.096 sin(wnt + 1.658465) 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 Oo, and the plate initial rotational velocity 0 0. For the supplied information determine: c) the natural angular frequency wn / [rad/s] to 4 significant figures Answer: