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A 50 kg mass is subjected to the harmonic force F(t) 1000 cos 120t N. Design...
7.9 design an undamped isolator for a 30kg mass subjected to a harmonic forcing function whose...
7.9 design an undamped isolator for a 30kg mass subjected to a harmonic forcing function whose amplitude and frequency are 1000N and 20hz. the isolator should transmit to the base no more than 10% of the applied force. Determine the resulting displacement amplitude.
A spring-mass system with m-10 kg and k-5000 N/m is subjected to a harmonic force having...
A spring-mass system with m-10 kg and k-5000 N/m is subjected to a harmonic force having an amplitude of 250 N and frequency of ow. If the maximum amplitude of the mass is observed to be 100 mm, find the value of o. (Points 4/10)
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 spring-mass system with m = 8 kg and k = 4000 N/m subjected to a...
A spring-mass system with m = 8 kg and k = 4000 N/m subjected to a harmonic force of amplitude 200 N and frequency (). When the mass of the system is increased by 20% from its original value, the amplitude of the forced motion of the new mass is observed to be 25% off the original one. Determine the frequency of the harmonic force and the amplitude of original system
Question Four (a) Determine the response x() for the undamped system subjected to the force F...
Question Four (a) Determine the response x() for the undamped system subjected to the force F as shown below and given by: ts 0.1s F(t) =-600t +120 0.1 <t s 0.2 s t> 0.2s 600t 0 The mass is initially at rest with x 0 at time 1 0. (b) Find the displacement of the mass at 1 0.25 s. k 75 N/m 0.75 kg F), N 1, S 0.2 0.1
Question Four (a) Determine the response x() for the...
The bar of mass M is subjected to the action of the harmonic force F Fo...
The bar of mass M is subjected to the action of the harmonic force F Fo cosot. Write the equation which describes the total motion (steady state transient). Initial conditions are zero. Determine the frequency of applied force at which resonance will occur? Given: M-20kg Fo 90 N a)-5 rad/s k-100 N/m C-25 N s/m
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...
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped...
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped when moving in the vertical direction by a damping force Famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. If y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period?...
For lightly damped harmonic oscillators the displacement is given by x(t) = (A^(-bt/2m))*cos(ωt + φ) with period T = 2π...
For lightly damped harmonic oscillators the displacement is given by x(t) = (A^(-bt/2m))*cos(ωt + φ) with period T = 2π / (sqrt((k/m)-(b^2/(4m^2)))). A) Show that this equation of motion obeys the force equation for a damped oscillator: F = −kx − bv. B) Shock absorbers in a pickup truck are designed to have a significant amount of damping. The effective spring constant of the four shock absorbers in a 1600 kg truck have an effective spring constant of 157,000 N/m....
The mechanical system shown in the figure below is excited by a sinusoidal force f(t)-Fi cos(ut...
The mechanical system shown in the figure below is excited by a sinusoidal force f(t)-Fi cos(ut + ?) N. The differential equation of the displacement x(t) is Use phasor techniques to solve for the displacement phasor Xin terms of the excitation frequency ? , and the mechanical elements M = 0.1 kg, D = 8 N-s/m , and K = 2,000 N/m . If Fi-10 N and ?? = 30°, determine the excitation frequency w (in rad/s) at which the...
A spring-mass system with m-10 kg and k-5000 N/m is subjected to a harmonic force having an amplitude of 250 N and frequency of ow. If the maximum amplitude of the mass is observed to be 100 mm, find the value of o. (Points 4/10)
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)...
Question Four (a) Determine the response x() for the undamped system subjected to the force F as shown below and given by: ts 0.1s F(t) =-600t +120 0.1 <t s 0.2 s t> 0.2s 600t 0 The mass is initially at rest with x 0 at time 1 0. (b) Find the displacement of the mass at 1 0.25 s. k 75 N/m 0.75 kg F), N 1, S 0.2 0.1
Question Four (a) Determine the response x() for the...
The bar of mass M is subjected to the action of the harmonic force F Fo cosot. Write the equation which describes the total motion (steady state transient). Initial conditions are zero. Determine the frequency of applied force at which resonance will occur? Given: M-20kg Fo 90 N a)-5 rad/s k-100 N/m C-25 N s/m
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...
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped when moving in the vertical direction by a damping force Famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. If y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period?...
The mechanical system shown in the figure below is excited by a sinusoidal force f(t)-Fi cos(ut + ?) N. The differential equation of the displacement x(t) is Use phasor techniques to solve for the displacement phasor Xin terms of the excitation frequency ? , and the mechanical elements M = 0.1 kg, D = 8 N-s/m , and K = 2,000 N/m . If Fi-10 N and ?? = 30°, determine the excitation frequency w (in rad/s) at which the...
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