Problem 7.33 Consider the motor mounted on a cantilever beam in figure shown below. The motor has a massof 8 kg and runs at the constant speed of 3500 rpm. The steel beam is 15 cm long, 10 cm wide, and 1 cm thick.The unbalanced part of the motor has a mass of 4 kg and an eccentricity of 0.3 mm. The damping in the beamis very slight. Design a vibration absorber for this system. The available clearance for this system. The availableclearance for the absorber's motion is 2.5 cm. The modulus of elasticity of steel is approximately E2 x 1011 N/m²=Motor12Beam(a)me(b)сx

Answered: Image /qna-images/answer/eb74df70-cd43-435b-9419-73302df694d7.jpg

Answered: Problem 7.33 Consider the motor mounted…

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 motor-pump system shown in Fig. 5.36(a) is modeled as a rigid bar of mass m=50kg and mass moment of inertia J0 = 100 kg-m2. The foundation of the system can be replaced by two springs of stiffness k1 = 500 N/m k2 = 200 N/m. and Determine the natural frequencies of the system.
sum - 1 : determine magnification factor of forced vibration produced by oscillator fixed at middle of the beam at a speed of 600 rpm. The weight concentrated at the middle of the beam is 5000 N and produces statically deflection of the beam equal to 0.025 cm. Neglect the weight of the beam and damping is proportional to velocity of 2.5 cm/sec and force = 500 N sum - 2 : An automobile whose weight is 150 N and it is mounted on 4 identical springs due to its weight it sags by 250 mm . each shock absorber has damping coefficient of 0.4 N for a velocity oof 30 mm/sec. The car is placed on a platform which moves vertically at resonance speed having an amplitude of 10mm. Find the amplitude of the car Sum - 3: A SDOF has undamped natural frequency of 7 rad/sec. and a damping factor of 10%. The initial conditions are x0 = 0 and V0 = 0.5 m/sec. Find damped frequency and equation of motion of the system Sum- 4; A SDOF system with a mass 25 kg and stiffness 10 N/mm with damping 0.15 Ns/m…
The spring constant of one car's spring is 24 kN / m and one tire has a mass of 370 kg. The relative damping factor is 0.35. The unevenness of the road causes a force on the wheel at a frequency of 0.74 Hz and the amplitude describing the unevenness of the road is 22 mm. What is the vibration amplitude of the car body in whole millimeters? For damping vibration
A 0.20 m long shaf with negligible inertia has a flywheel suspended from the end and a damper to damp the vibrations. The shaft has a torsional stiffness of 5,000 N-m/rad and a modulus of rigidity of 152 Mpa. The flywheel has a moment of inertia of 30 kg-m2 and the damping ratio is 0.4. Calculate the following: a) The damped frequency (in Hz) b) The damping coefficient (in N-m-s) c) The actual angular frequency (in Hz) d) The amplitude reduction factor e) The diameter of the shaft (in mm)
400 kg machine is placed at the mid span of a 3.2 m simply supported steel beam (E=200\times10^9~N/m2) The machine is observed to vibrate with a natural frequency of 9.3 Hz. What is the size of the beam's cross section if the height is twice as the width, considering that:
A reciprocating compressor of mass 20 Kg runs at a constant speed of 3000 rpm. After installation the forcing frequency is found to be too closer to the natural frequency of the system. Design a dynamic vibration absorber such that (a) the natural frequency of the main system is equal to that of the absorber and (b) the ratio of the operating frequency to the natural frequency is 0.75.
Equivalent stiffness of a beam system is 105 N/m and mass of the object resting on the beam system is 1000 kg. The natural frequency is
1. Explain_why_the_natural_frequency_measurements_should_better_reflect_the_system’s_true_undamped natural_frequency_(and_therefore_correlate_better_with_calculated_values)_than_the_frequency_of_oscillation measurements. 2. For_a Linear Spring-Mass System, Torsional Spring-Mass System, and Simple Pendulum System: identify_the_necessary_measurements_required_to_identify_the_natural_frequency_and the damping_ratio_for_the_linear_SMD_and_the_simple_pendulum.
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