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LC k L3 L2 L 2 Consider a rectangular parallelepiped of mass m = 3.203 kilogram and dimension b = 0.577 meter and l = 0.429 meter in an xy-plane that is connected by a linkage of length L3 = 0.52 meter from the top edge of the parallelepiped to a pivot at point o as shown in the diagram. Attached perpendicular to linkage L3 is another linkage composed of a linkage L1 = 0.544 meter and a linkage L2 = 0.357 meter, such that the linkage L3 is initially vertical and then rotates by a small angle 8. Connected to linkage L1 is a spring k = 1027.166 newtons/meter and a damper c = 607.811 newton-meter/second. It is known that the equation of motion meä + ce + ke0 = 0 for the rotation of linkage Lz takes the form 2-1)wnt + A2e when the motion is over-damped. It is desired to determine numerical values of me, Ce, ke, wn, c Find to 4 significant figures: me 0= Ajel-5+152-1)wnt
с k L3 L2 L Consider a rectangular parallelepiped of mass m = 3.203 kilogram and dimension b = 0.577 meter and l = 0.429 meter in an xy-plane that is connected by a linkage of length L3 = 0.52 meter from the top edge of the parallelepiped to a pivot at point O as shown in the diagram. Attached perpendicular to linkage L3 is another linkage composed of a linkage L1 = 0.544 meter and a linkage L2 = 0.357 meter, such that the linkage L3 is initially vertical and then rotates by a small angle 8. Connected to linkage Li is a spring k = 1027.166 newtons/meter and a damper c = 607.811 newton-meter/second. It is known that the equation of motion me m 8 + cei + ke0=0 for the rotation of linkage L3 takes the form (2-1)wnt 1)wnt @= Aje V + Azel when the motion is over-damped. It is desired to determine numerical values of me, Ce, ke, wn, S. Find to 4 significant figures: Ce
с k A L3 L2 L m F 7 Consider a rectangular parallelepiped of mass m = 3.203 kilogram and dimension b = 0.577 meter and 1 = 0.429 meter in an xy-plane that is connected by a linkage of length L3 = 0.52 meter from the top edge of the parallelepiped to a pivot at point o as shown in the diagram. Attached perpendicular to linkage L3 is another linkage composed of a linkage L1 = 0.544 meter and a linkage L2 = 0.357 meter, such that the linkage L3 is initially vertical and then rotates by a small angle 2. Connected to linkage L is a spring k = 1027.166 newtons/meter and a damper c = 607.811 newton-meter/second. It is known that the equation of motion meö + ce + keq = 0 for the rotation of linkage Lz takes the form + Azel -6-152-1)wnt when the motion is over-damped. It is desired to determine numerical values of me, Ce, ke, wn, Find to 4 significant figures: ke 0 = Ajel-S+V62-1)wnt
- Consider a rectangular parallelepiped of mass m = 3.203 kilogram and dimension b = 0.577 meter and l = 0.429 meter in an xy-plane that is connected by a linkage of length L3 = 0.52 meter from the top edge of the parallelepiped to a pivot at point o as shown in the diagram. Attached perpendicular to linkage L3 is another linkage composed of a linkage L1 = 0.544 meter and a linkage L2 = 0.357 meter, such that the linkage L3 is initially vertical and then rotates by a small angle 8. Connected to linkage L1 is a spring k = 1027.166 newtons/meter and a damper c = 607.811 newton-meter/second. It is known that the equation of motion meö + ce+ kell = 0 for the rotation of linkage L3 takes the form 0 = Ajel-5+152-1)wnt when the motion is over-damped. It is desired to determine numerical values of me, Ce, ke, wnic Find to 4 significant figures: wn = + A2el-5-182-1)wnt
- Consider a rectangular parallelepiped of mass m = 9.7 kilogram and dimension b = 4.4 meter and I = 6.6 meter in an xy-plane that is connected by a linkage of length L3 = 5.7 meter from the top edge of the parallelepiped to a pivot at point O as shown in the diagram. Attached perpendicular to linkage L3 is another linkage composed of a linkage L1 = 5.9 meter and a linkage L2 = 1.1 meter, such that the linkage L3 is initially vertical and then rotates by a small angle e. Connected to linkage L1 is a spring k = 4.5 newtons/meter and a damper c = 4.8 newton-meter/second. It is known that the equation of motion m ö + cei + ke0 = 0 for the rotation of linkage L3 takes the form V = 8 = Ajel-s+132-1)t + Agel-5-12-13wnt when the motion is over-damped. It is desired to determine numerical values of me, Ce, ke, Wn. Find to 4 significant figures: 5 Answer: