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11. A machine of 100 kg mass has...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the bearings The turbine rotor has an eccentricity of 9.0 mm and operates at T200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s Rotor Ο 214.279 rads 50985.64 rad o 45915.49 ad/s 484424 rad/s QUESTION...
Q-3 (25 pts) An industrial machine of total mass M-600 kg is supported on springs with a static d...
Q-3 (25 pts) An industrial machine of total mass M-600 kg is supported on springs with a static deflection of 5.9 mm. The machine has a rotating unbalance of m40 kg (part of the total mass) at an effective eccentricity of es3.0 mm. Determine the amplitude of resulting vibration and phase angle when the unbalance rotates at -350 rpm. The system is damped with a dashpot of ce 15000 Ns/m. M Consider only vertical effects
Q-3 (25 pts) An industrial...
QUESTION 2 Consider an electrical motor with mass M = 901.8129 kg located at the middle...
QUESTION 2
Consider an electrical motor with mass M = 901.8129 kg
located at the middle of pinned-pinned beam, as shown in the figure
below. Assume that the Young’s modulus of the beam E =
8.5470x1010 Pa, moment of inertia I =
8.3375x104 mm4 , length of the beam
L = 0.2859 m and zero initial conditions. If there is an
unbalance mass of m0 = 2.3714 kg in the
rotating part of the motor, eccentricity is e = 4.1473...
A 100 kg machine is rotating at 300 rpm and supported on two layers of rubber...
A 100 kg machine is rotating at 300 rpm and supported on two layers of rubber pads connected in series. Each layer has an equivalent stiffness of 80 KN/m. The machine has an unbalanced rotating element of 0.025 kg.m. The velocity amplitude at resonance is found to be 5 mm/sec. 1. Generally, deduce the equation of motion showing clearly the free body diagram. [30 marks] 2. Derive the particular solution and its velocity. [20 marks 3. Using the data mentioned...
Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a d...
Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a distance 08 m from the centre of rotation (The mass M includes the mass m) The operating speed is 15 Hz Suppose that this machine is mounted on an isolator as shown in the figure If the percent of mation transmitted (TR) to the body is 15 % , and the spring constant k 12 5 x 103 (a)...
A 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a...
A 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a vibrations damper. It is known that a machine with a rotating unbalance experiences a frequency squared harmonic excitation. The magnitude of the rotating unbalance is A = m,e = 0.3 [kg. m). 1. Calculate the nondimensional function for the state that has a steady state amplitude of 10 [mm] at a 90 [rad/s] speed. 2- Determine the frequency ratio, natural frequency, and the beams...
A small motor driven paint compressor set of mass 27 kg sits on rigid, massless platform...
A small motor driven paint compressor set of mass 27 kg sits on rigid, massless platform that is supported by 4 spring-damper isolators (each isolator is composed of a spring and damper) for which cach spring constant is 13245 N/m. When the motor runs, it runs at a constant speed of 1750 rpm. The compressor piston has a 50 mm stroke (double its eccentricity). The piston and reciprocating parts have a mass of 0.5 kg, and the motion of the...
plz? help sir .......... A transparent glass hemisphere with radius R and mass m has an...
plz? help sir
..........
A transparent glass hemisphere with radius R and mass m has an index of refraction n. In the medium outside the hemisphere, the index of refraction is equal to one. A parallel beam of monochromatic laser light is incident uniformly and normally onto the central portion of its planar surface, as shown in Figure 3. The acceleration of gravity g is vertically downwards. The radius 8 of the circular cross-section of the laser beam is much...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the bearings The turbine rotor has an eccentricity of 9.0 mm and operates at T200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s Rotor Ο 214.279 rads 50985.64 rad o 45915.49 ad/s 484424 rad/s QUESTION...
Q-3 (25 pts) An industrial machine of total mass M-600 kg is supported on springs with a static deflection of 5.9 mm. The machine has a rotating unbalance of m40 kg (part of the total mass) at an effective eccentricity of es3.0 mm. Determine the amplitude of resulting vibration and phase angle when the unbalance rotates at -350 rpm. The system is damped with a dashpot of ce 15000 Ns/m. M Consider only vertical effects
Q-3 (25 pts) An industrial...
QUESTION 2
Consider an electrical motor with mass M = 901.8129 kg
located at the middle of pinned-pinned beam, as shown in the figure
below. Assume that the Young’s modulus of the beam E =
8.5470x1010 Pa, moment of inertia I =
8.3375x104 mm4 , length of the beam
L = 0.2859 m and zero initial conditions. If there is an
unbalance mass of m0 = 2.3714 kg in the
rotating part of the motor, eccentricity is e = 4.1473...
A 100 kg machine is rotating at 300 rpm and supported on two layers of rubber pads connected in series. Each layer has an equivalent stiffness of 80 KN/m. The machine has an unbalanced rotating element of 0.025 kg.m. The velocity amplitude at resonance is found to be 5 mm/sec. 1. Generally, deduce the equation of motion showing clearly the free body diagram. [30 marks] 2. Derive the particular solution and its velocity. [20 marks 3. Using the data mentioned...
Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a distance 08 m from the centre of rotation (The mass M includes the mass m) The operating speed is 15 Hz Suppose that this machine is mounted on an isolator as shown in the figure If the percent of mation transmitted (TR) to the body is 15 % , and the spring constant k 12 5 x 103 (a)...
A 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a vibrations damper. It is known that a machine with a rotating unbalance experiences a frequency squared harmonic excitation. The magnitude of the rotating unbalance is A = m,e = 0.3 [kg. m). 1. Calculate the nondimensional function for the state that has a steady state amplitude of 10 [mm] at a 90 [rad/s] speed. 2- Determine the frequency ratio, natural frequency, and the beams...
A small motor driven paint compressor set of mass 27 kg sits on rigid, massless platform that is supported by 4 spring-damper isolators (each isolator is composed of a spring and damper) for which cach spring constant is 13245 N/m. When the motor runs, it runs at a constant speed of 1750 rpm. The compressor piston has a 50 mm stroke (double its eccentricity). The piston and reciprocating parts have a mass of 0.5 kg, and the motion of the...
plz? help sir
..........
A transparent glass hemisphere with radius R and mass m has an index of refraction n. In the medium outside the hemisphere, the index of refraction is equal to one. A parallel beam of monochromatic laser light is incident uniformly and normally onto the central portion of its planar surface, as shown in Figure 3. The acceleration of gravity g is vertically downwards. The radius 8 of the circular cross-section of the laser beam is much...
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