A reciprocating engine is installed on the fifth floor of a new building to provide ventilation services, which can be modelled as a rigid rectangular plate resting on four elastic columns. The total mass of the engine and floor is 1000 kg. At the rated speed of the engine, which is 750 rev/min, the engineers experienced large vibrations of the floor. It has been decided to reduce these vibrations by suspending a spring-mass system at the bottom surface of the floor as the absorber. (a) If the stiffness of the absorber is 980 kN/m, find the mass of the dynamic absorber to be attached to the floor. (b) Find the values of the absorber mass and absorber stiffness in order to have the natural frequencies of the combined system at least 25% away from the forcing frequency. Verify your answer with a calculation.

A reciprocating engine is installed on the fifth floor of a new building to provide ventilation services, which can be modelled as a rigid rectangular plate resting on four elastic columns. The total mass of the engine and floor is 1000 kg. At the rated speed of the engine, which is 750 rev/min, the engineers experienced large vibrations of the floor. It has been decided to reduce these vibrations by suspending a spring-mass system at the bottom surface of the floor as the absorber. (a) If the stiffness of the absorber is 980 kN/m, find the mass of the dynamic absorber to be attached to the floor. (b) Find the values of the absorber mass and absorber stiffness in order to have the natural frequencies of the combined system at least 25% away from the forcing frequency. Verify your answer with a calculation.

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

See similar textbooks

Related questions

Q: Consider the following diagram. m1320 kg and m2= 10 kg. The system is being pulled by an applied…

Q: An ideal cord (no mass and no elongation under load) is wrapped around a disc of radius r (r=50 cm,…

Q: A disk of mass m = 5 kg, Ic =mR3, and outer radius Ro = 0.9 m contacts an inclined surface with…

Q: The figure below shows a 30 kg disk, initially at rest, that is attached to a wall through a spring…

Q: A multiple vee-belt drive is required to transmit 4 kW. The smaller pulley has of the system has a…

A: The power transmitted, P = 4 kWThe diameter of the smaller pulley, d = 150 mmThe speed of the…

Q: n electric motor with a mass of 260 kg and a rotating nbalance, is mounted near the end of a steel…

Q: A multi-plate friction clutch has to be designed to transmit 100 kW from an internal combustion…

Q: The 70.62-kg climber in the figure is supported in the “chimney” by the friction forces exerted on…

A: Given: Mass of the climber=70.62kgCoefficient of friction between shoe and the wall…

Q: Consider a solid cylinder of mass 5 kg and radius 0.3 m on a surface with insufficient friction so…

Q: How far have you pulled the block and cylinder when everything stops?

Q: 2 m radius and at 22

Q: th a total mass of 2000 kg has a rotor with an out of balance force equivalent to 0.2 kg at 0.5 m…

A: Transmissibility is nothing but the ratio of the force applied on the machine to the force…

Q: A block of mass M = 0.5 kg is attached to one end of a light string going over a massless,…

A: Given data: The mass of the block is m=0.5 kg The stiffness of the spring is k=50 Nm The…

Q: A horizontal split case pump with a single impeller shows a predominant vibration reading at a…

A: A positive displacement pump may vibrate for the following reasons:Uneven angular alignment:-There…

Q: shown below. The coefficient of friction for the screw is f = 0.06 and friction du negligible f≈ 0.…

Q: (1₁) A 25° W₁ = 4 16 W₁ = 6 16 W₁₂ = 8 lb We MK = 0.15 B no friction с 55° For the configuration of…

Q: A bike chain can support a tension of no more than 9800 N. The pedal connects to a crank 17 cm from…

A: Draw a diagram for the problem showing the tension in the chain and the force applied on the pedal.…

Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

You pull on a string with a horizontal force of magnitude Fyb = 51 N that is attached to a block of mass mb = 6.3 kg, then to the axle of a solid cylinder of mass mc = 4.3 kg and radius r = 0.5 m, then to a spring of spring constant k = 190 N/m. This is all done on an inclined plane where there is friction ( μs = 0.6 and μk = 0.33 ), and the incline angle is θ = 25 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. What is the speed of the block and cylinder after you pulled the block 66 cm down the plane.
What is the correct answer please explain me
A damping mechanism for closing a door allows it to close on its own, as shown in the figure. The shock consists of a spring to return attached to an oil-filled damping piston. When the spring pulls the piston to the right, the teeth of the piston bar engage in a sprocket, which rotates and causes the door to close. Should the system be sub-meame, critically cushioned or over-cushioned for best performance (where the door closes quickly without hitting the frame)? Explain your answer.
Q3/A polyamide A-3 flat belt 6 in wide is used to transmit 15 hp under light shock conditions where Ks = 1.25, and a factor of safety equal to or greater than 1.1 is appropriate. The pulley rotational axes are parallel and in the horizontal plane. The shafts are 8 ft apart. The 6-in driving pulley rotates at 1750 rev/min in such a way that the loose side is on top. The driven pulley is 18 in in diameter. See Fig. 17-10. The factor of safety is for unquantifiable exigencies. 1750 rpm 6 in -96 in 18 in (a) Find the torque capacity that would put the drive as built at the point of slip, as well as the initial tension Fi. (b) Find the belt width b that exhibits nfs = nd = 1.1. (c) For part b find the corresponding Fla, Fc, Fi, F2, power, and nfs. (d) What have you learned?
please do it as soon as possible with big thump for you
A 40 kg fan has a rotation unbalance of magnitude of 0.01 kg.m. The fan is mounted on a beam which is specially treated to have a viscous damping. By the variation of the speed of the fan, the amplitude of the vibration varies too. What is the fan's steady state amplitude when it operates at 1000 r/min? Givens: E = 200 GPa, I = 1.3 x10-6 m, L = 1.2 m, damping ratio = 0.06 Select one: O 2 mm 13.6 mm O 3.65 mm O 9 mm TOSHIBA
7. 2) The lawn roller has a mass m = 55 kg and a radius of gyration about its gravitational center G, kG = 196 mm. It has a handle that connects to its center axle, and the handle is pushed forward with a force F = 420 N at a 45° angle. The coefficients of static and kinetic friction between the roller and the ground are us = 0.11 and Hk = 0.08, respectively. For the sets of parameters listed below, determine the magnitude of the roller's angular acceleration (in rad/s²). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?. F 45° 200 mm A
A steel ring was shrunk into the outside of a hollow steel disc. The interference radius of the assembly is 40 mm whilst its outer and inner radii are 250 mm and 20 mm, respectively. If the angular speed at which the ring-disc assembly becomes loose is 401.8 rad/sec, determine the shrink-fit pressure at the mating surface of the assembly? Assume that Poisson's ratio for steel is 0.3 and its density is 7860 kg/m³.
Q1/ An open belt drive connected two pulleys 120 cm and 50 cm diameter on parallel shafts 4 m apart. The belt weights 0.9 kg/m length and maximum tension in it is not to exceed 2000 N. 0.3. The 120 cm pulley, which is the driver, runs at 200 rpm. Due to belt slip on one of the pulleys, the velocity of the driven shaft is only 450 rpm. Calculate the torque on each of the two shafts and power transmitted.
A 2:1 speed reduction drive (Fig Q4) between two parallel shafts at 1200 mm centre distance is being provided by a V-belt of mass 0.5 kg/m. The diameter of the driving pulley is 200 mm and the driving shaft rotates at 900 rev/min. The driven pulley is 400 mm diameter. The angle of the pulley grooves is 40°, and the coefficient of friction between belt and pulleys is 0.35. If the maximum beit tension is 400 N determine: (i) The linear belt speed and the centripetal tension due to that belt speed. (ii) The angle of lap on each pulley (iii) The maximum power that may be transmitted Ø200 1200 Ø400
A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are u, = 0.40 and uy = 0.20 and the plane is inclined 16.9° with horizontal. (a) Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudged, will slide down the incline. 73.4 kg s m s.03 kg (b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline. 52.94 kg s m s 10.82 kg eBook