Q4 Figure Q4 shows an aeroplane approaching a runaway for landing. The aeroplane consists of front and rear landing gear set which have different stiffness values. The front landing gear set has stiffness coefficient value, kı = 600 kN/m while the rear landing gear set has stiffness coefficient value, k2 = 700 kN/m. The distance of each landing gear to the center of gravity is l; = 9 m and I2= 2.5 m respectively. The mass of the aeroplane is given as m = 10,000 kg while the radius of gyration, rG= 2 m. By neglecting the damping coefficient of the landing gear: (a) Illustrate the problem as mass-spring system. (b) Construct the equation of motion, complete with all values in the matrix form.

Q4 Figure Q4 shows an aeroplane approaching a runaway for landing. The aeroplane consists of front and rear landing gear set which have different stiffness values. The front landing gear set has stiffness coefficient value, kı = 600 kN/m while the rear landing gear set has stiffness coefficient value, k2 = 700 kN/m. The distance of each landing gear to the center of gravity is l; = 9 m and I2= 2.5 m respectively. The mass of the aeroplane is given as m = 10,000 kg while the radius of gyration, rG= 2 m. By neglecting the damping coefficient of the landing gear: (a) Illustrate the problem as mass-spring system. (b) Construct the equation of motion, complete with all values in the matrix form.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The figure shows a person wearing weight boots and doing lower leg flexion/extension exercise in a sitting position to strengthen the quadriceps muscles and a simple mechanical model of his leg. W1 is the weight of the lower leg, W0 is the weight of the boot, the magnitude of the pulling force applied to the tibia by the quadriceps muscles through the FM patellar tendon, the magnitude of the reaction force acting on the FJ tibiofemoral joint. Point O is the center of the tibiofemoral joint, point A is the point where the patellar tendon attaches to the tibia, point B is the center of gravity of the lower leg, point C is the center of gravity of the weight boot. The distances between point O and points A, B and C were measured as a=13 cm, b=27 cm and c=36 cm, respectively. The angle that the long axis of the tibia makes with the horizontal is β=34°, the angle between the line of action of the quadriceps muscle strength and the long axis of the tibia is α=18°. Points O, A, B and C lie…
The figure shows a person wearing weight boots and doing lower leg flexion/extension exercise in a sitting position to strengthen the quadriceps muscles and a simple mechanical model of his leg. W1 is the weight of the lower leg, W0 is the weight of the boot, the magnitude of the pulling force applied to the tibia by the quadriceps muscles through the FM patellar tendon, the magnitude of the reaction force acting on the FJ tibiofemoral joint. Point O is the center of the tibiofemoral joint, point A is the point where the patellar tendon attaches to the tibia, point B is the center of gravity of the lower leg, point C is the center of gravity of the weight boot. The distances between point O and points A, B and C were measured as a=12 cm, b=24 cm and c=36 cm, respectively. The angle that the long axis of the tibia makes with the horizontal is β=39°, the angle between the line of action of the quadriceps muscle strength and the long axis of the tibia is α=16°. Points O, A, B and C lie…
The figure shows a person wearing weight boots and doing lower leg flexion/extension exercise in a sitting position to strengthen the quadriceps muscles and a simple mechanical model of his leg. W1 is the weight of the lower leg, W0 is the weight of the boot, the magnitude of the pulling force applied to the tibia by the quadriceps muscles through the FM patellar tendon, the magnitude of the reaction force acting on the FJ tibiofemoral joint. Point O is the center of the tibiofemoral joint, point A is the point where the patellar tendon attaches to the tibia, point B is the center of gravity of the lower leg, point C is the center of gravity of the weight boot. The distances between point O and points A, B and C were measured as a=12 cm, b=24 cm and c=36 cm, respectively. The angle that the long axis of the tibia makes with the horizontal is β=39°, the angle between the line of action of the quadriceps muscle strength and the long axis of the tibia is α=16°. Points O, A, B and C lie…
The figure shows a person wearing weight boots and doing lower leg flexion/extension exercise in a sitting position to strengthen the quadriceps muscles and a simple mechanical model of his leg. W1 is the weight of the lower leg, W0 is the weight of the boot, the magnitude of the pulling force applied to the tibia by the quadriceps muscles through the FM patellar tendon, the magnitude of the reaction force acting on the FJ tibiofemoral joint. Point O is the center of the tibiofemoral joint, point A is the point where the patellar tendon attaches to the tibia, point B is the center of gravity of the lower leg, point C is the center of gravity of the weight boot. The distances between point O and points A, B and C were measured as a=12 cm, b=24 cm and c=36 cm, respectively. The angle that the long axis of the tibia makes with the horizontal is β=39°, the angle between the line of action of the quadriceps muscle strength and the long axis of the tibia is α=16°. Points O, A, B and C lie…
The figure shows a person wearing weight boots and doing lower leg flexion/extension exercise in a sitting position to strengthen the quadriceps muscles and a simple mechanical model of his leg. W1 is the weight of the lower leg, W0 is the weight of the boot, the magnitude of the pulling force applied to the tibia by the quadriceps muscles through the FM patellar tendon, the magnitude of the reaction force acting on the FJ tibiofemoral joint. Point O is the center of the tibiofemoral joint, point A is the point where the patellar tendon attaches to the tibia, point B is the center of gravity of the lower leg, point C is the center of gravity of the weight boot. The distances between point O and points A, B and C were measured as a=12 cm, b=24 cm and c=36 cm, respectively. The angle that the long axis of the tibia makes with the horizontal is β=39°, the angle between the line of action of the quadriceps muscle strength and the long axis of the tibia is α=16°. Points O, A, B and C lie…