Determine the kinetic energy and potential energy of the system shown in the Figure. Mass of the bar is M. Use rotation of the bar (0) as the generalized coordinate. Assume mass of the springs negligible. المشر L/3 L/3 L/3
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- Choose the following systems that are equivalent to the one shown. Choose all that apply. (Remember conditions for equivalency require the sum of forces to be equal and the sum of moments about on arbitrary point to be equal) 50 N DA OB. OC OD. 1m 1 m 1 m 50 N 1 m 50 N 1 m 100 N 1 m 50 N 1m 50 N 1 m 50 N-m 1 m 100 N-m 1 mQ2/ The out - of - balance of a machine rotor is equivalent to 5 kg at 10 mm radius in one plane A, together with an equal mass at 15 mm radius in a second plane B. AB = 375 mm and the two radii are 120°. Find the mass required in third plane C at a radius of 125 mm and its angular position with respect to the given radii so that there is no resultant out - of - balance force. Find also the position of C along the axis for the residual couple to be a minimum and of this couple when the speed is 500 r.p.m.Based on the newton's second low of motion, the mass is the force applied on a system Ture O False O
- Determine the number of unknowns that need to be determined in the system. The weight of the beam is negligible. Count: 1 horizontal reaction/force = 1 unknown 1 vertical reaction/force = 1 unknown 1 diagonal reaction/force = 2 unknowns (because there is an x and y component in a diagonal force) 8 ft I Ai 6 ft Cable C 6 ft BQ2/ The out – of - balance of a machine rotor is equivalent to 5 kg at 10 mm radius in one plane A, together with an equal mass at 15 mm radius in a second plane B. AB = 375 mm and the two radii are 120°. Find the mass required in third plane C at a radius of 125 mm and its angular position with respect to the given radii so that there is no resultant out - of - balance force. Find also the position of C along the axis for the residual couple to be a minimum and of this couple when the speed is 500 г.p.m.Three masses are attached to a 100-meter long beam as shown below. The mass of the bea, is 210 kilograms and the masses m1 and m3 are valued at 50 kilograms and 300 kilograms, respectively. Find the normal reaction force at the fulcrum that balances the system in SI units.
- 10kN 10kN/m A B 10KN-m -3m -3 m- -6 m Determine the resultant of the system and its position from point A.The position of the material point is determined by the equation:The mass of the material point is 2.0 kg. Determine the resultant force that provides the following material pointmotion, vector coordinates and magnitude after 10 seconds.vibrations - show solution
- Determine the number of unknowns that need to be determined in the system. The weight of the beam is negligible. Count: 1 horizontal reaction/force = 1 unknown 1 vertical reaction/force = 1 unknown 1 diagonal reaction/force = 2 unknowns (because there is an x and y component in a diagonal force) 0.5 m 0.3 m 0.5 m BFind the magnitude of the projected component of the force FB along the line of action of the force Fc Set FB = 720 N and Fc = 400 N %3D В. 2 m FB 3.5 m Fc 0.5 m 1.5 m 1 m 0.5 m 1.5 m The magnitude is NFind the displacement, forces and elements of this structure