Problem B-9-10 A machine of mass m is mounted on a vibration isolator as shown in Figure 9-46. If the foundation is vibrating according to p = P sin wt, where p is the displacement of the foundation, find the vibration amplitude of the machine. Determine the motion trans- missibility. The displacement r is measured from the equilibrium position in the absence of the vibration of the foundation. m b2 k1 P sin wi %3D Figure 9-46 Machine mountcd on a vibra- tion isolator.

Problem B-9-10 A machine of mass m is mounted on a vibration isolator as shown in Figure 9-46. If the foundation is vibrating according to p = P sin wt, where p is the displacement of the foundation, find the vibration amplitude of the machine. Determine the motion trans- missibility. The displacement r is measured from the equilibrium position in the absence of the vibration of the foundation. m b2 k1 P sin wi %3D Figure 9-46 Machine mountcd on a vibra- tion isolator.

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

Similar questions

A body weighing 5kg is attached to a very light bar as depicted below. The set-up is free to rotate in the vertical plane about pin support O. The force applied at point C makes the bar oscillate(via small rotation) about the position of equilibrium illustrated below With the motion equation being θ.. +(3.9375)θ. + 33.74θ and the amplitude Θ beingn 0.1855 radians and the phase angle Φ = 66.02 degrees. Present the differential equation of motion to include the amplitude and the phase angle
1 -) an undamaged small inverted pendulum given in the figure on the sideinfer the expression that gives the natural frequency of its vibrations.Admissions that you make, etc. please type. Rod rigid andit's massless. Static equilibrium position of the systemas can be seen, it is in a vertical direction. 2-) only one of the springs in the figure (right or left) if it was replaced by a damper with a damper coefficient chow would it affect the natural frequency? Required statementsextract and interpret.
The bar in the figure has a length L = 1.2 m, it is rigid and of negligible weight, the W = 49 N is fixed at a distance b = 0.45 m from the joint. The spring constant is k = 7840 N / m. Determine the frequency of vibration of the system for small displacements.
A body of mass 100 kKg is suspended by a spring of stifness of 30KN/m and a dashpot of damping constant 1000 N.s/m. Vibration is excited by harmonic force ft)=80 cos (67tt) 1- Write the equation of motion of the system using Lagrange's equation. 2- Find the natural frequency and the driving frequency. 3- Write the complete solution of the vibrating system.
A350 N electronic instrument is attached to a ship deck which vibrates at an amplitude of 1.60 mm at 50 Hz. The instrument is to be isolated from the deck with 4 flexible mounts. Determine combined spring constant of mounts such that the amplitude of vibration of the instrument is no more than 0.13 mm. If the springs are equal wirat is spring constant of each mount. What is static diflection of each mount?
(machine dynamıc) a- Subtract the expression that gives the natural frequency of the small undamped vibrations of the inverted pendulum given in the figure on the right. Your acceptance, etc. write. The rod is rigid and massless. The static equilibrium position of the system is in the vertical direction as seen in the figure. b- If only one (right or left) of the springs in the figure were replaced with a damper with a damping coefficient c, how would it affect the natural frequency. Extract and interpret the necessary statements.
1: the mass damper spring given in the figure on the side is a harmonicit's under the influence of force. a-) obtain the equation of motion by making the necessary admissions for this system. B - ) natural frequency of the system using the values given in the table, damping State (critical, etc. ), find and interpret the damping constant and degrees of damping. c-) t = 5s with t = 20s compare the situation in their time. What changes have occurred?
A machine with a total mass of 2000 kg has a rotor with an out of balance force equivalent to 0.2 kg at 0.5 m radius rotating at 3000 rev/min. Calculate the stiffness and mass of an undamped vibration absorber which could be connected to the machine to eliminate transmission of force to the foundation at the operating speed, if the maximum deflection of the absorber spring is to be limited to 8 mm. [Ans 1234 kN/m, 12.5kg]
Problem 3: A helical spring is designed to have a stiffness of 500 N/m. The spring has a wire diameter of 5 mm and an outer diameter of 30 mm. Determine the number of coils required for the spring if the spring index is 6. Problem 4: A helical spring is compressed by a force of 100 N, resulting in a compression length of 20 cm. The spring has a wire diameter of 3 mm and a mean coil diameter of 15 cm. Determine the spring constant (stiffness) of the spring.
Two questions in one, see pictures below The assembly shown below with M8x1.25 bolt/nut is subjected to an oscillating force F that changes between 0 and Fmax. Obtain the Fmax (in kN) with a saftey factor of 3, such that the amplitude of the alternating stress on the threaded section of the bolt does not exceed 47 MPa. Assume that the bolt and nut were preloaded sufficiently. The stiffness of the clamped material is evaluated as 1,001 MN/m and the stiffness of the bolt is calculated as 343 MN/m.
1. A system is needed to be designed as damped spring mass system. Calculate the amplitude of vibration. Stiffness=10 kN/m; mass 2Mg; and dashpot coefficient 2 kNs/m. It is subjected to a harmonic force = 500N @ frequency 0.5Hz
A machine weighing 300lb is mounted on a supporting system consisting of four springs and four dampers. The vertical deflection of the supporting system under the weight of the machine is measured as 0.75in. The dampers are designed to reduce the amplitudeof vertical vibration to one-sixthof the initial amplitude after two complete cycles of free vibration. Find the following undamped natural frequency,damping ratio, and damped natural frequencyofthesystem.