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For the system shown below, a 20Kg mass is sitting on a spring-damper system on a foundation. The system is operating a...
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass...
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass of the handle is negligi- ble (only 1 FBD is necessary). Consider the displacement (t) to be the input to the system and the cart displacement az(t) to be the output. You may assume negligible drag. MwSpring-Damper System M0 Problem 3 Repeat problem 2, but with the following differences: • Assume the mass of the handle m, is not equal to zero. You may...
API A spring-mass-damper system is shown in Figure API (a). The Bode diagram obtained by experimental...
API A spring-mass-damper system is shown in Figure API (a). The Bode diagram obtained by experimental means using a sinusoidal forcing function is shown in Figure AP1(b). Determine the numerical values of m, b, and k -10 -20 5 -30 -40 -50 spring, k r(0) Mass, -90° Damper, b -180° 0.01 0.1 10 100 w (rad/s) FIGURE AP1 A spring-mass- damper system.
A mass-spring-damper system is shown below. If a periodic external forceAssume: r acts on the mass...
A mass-spring-damper system is shown below. If a periodic external forceAssume: r acts on the mass as graphed below, what is the steady state response of the system? D= Spring Mass m External force r(t) Dashpot Vibrating system under considerati r(t) ?/2
1. A spring-mass-damper system of M =0.05 Ib.s/in, K=15 lb/in, and C =0.7 Ib.s/in is subjected...
1. A spring-mass-damper system of M =0.05 Ib.s/in, K=15 lb/in, and C =0.7 Ib.s/in is subjected to a harmonic force F(t)=30 Cos (10t) Ibf. Determine: (a) The equation of motion of the system (b) The response as function of time (c) The value of the resonance frequency (d) The transmitted force (e) The range of frequencies for which greater force would be transmitted (f) Redesign the system such that only full force is transmitted to the foundation Plt) x(+)
3. The motion of a 1DOF mass-spring-damper system (see Figure 1) is modeled by the following seco...
3. The motion of a 1DOF mass-spring-damper system (see Figure 1) is modeled by the following second order linear ODE: dx,2 dt n dt2 (0) C dt where is the damping ratio an wn is the natural frequency, both related to k, b, and m (the spring constant, damping coefficient, and mass, respectively) (a) Use the forward difference approximations of (b) Using Δt andd to obtain a finite difference formula for x(t+ 2Δ) (like we did in class for the...
The landing gear of an airplane can be idealised as the spring-mass-damper system shown in the...
The landing gear of an airplane can be idealised as the spring-mass-damper system shown in the figure below. If the runway surface is described by y() = Ycoswt, determine the value of the damping coefficient c that gives an amplitude of vibration of the airplane of 1.0 mm. Assume m 153 rad/s. 1.8 mm, and w 2200 kg, k 4.9 MN/m, Y = x(e) Housing with strut and viscous damping Mass of aircraft y(e) Runway ww.
Consider the mass-spring-damper system shown below left. A spring-based force gage, with spring constant Kgage, is...
Consider the mass-spring-damper system shown below left. A
spring-based force gage, with spring constant Kgage, is to be
inserted between the spring K and mass M (as shown below right) to
measure the force in K in response to the applied position xin.
With ftrue representing the force in K without the gage present,
and fgage representing the force in K with the gage present, the
Laplace transforms of fgage and ftrue satisfy
Question B A machine on a viscoelastic foundation (Figure 31.1), modelled as a spring mass-damper system...
Question B A machine on a viscoelastic foundation (Figure 31.1), modelled as a spring mass-damper system is acted upon by a force modelled as a harmonic force: F(t) = 0.2 sin(wt) Force is given in N and time in seconds. W Figure 31.1 Nos Given numerical values: m = 10 kg C=5 M k = 1000 = 1) draw the correct Free-Body-Diagram and determine the equation of motion [2 marks) 2) determine the natural frequency and the damping ratio of...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is pulled a set distance and released from rest. The resulting graph for position of the unknown mass as a function of time is shown below. Oscillating Mass-Spring System 1 position (m) 0.8 0.6 04 02 0 -0.2 5 -0.4 -0.8 times) a) What is the frequency? (1 point) b) What is the amplitude? (1 point) c) What is the angular frequency? (1 points) d)...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a s...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass of the handle is negligi- ble (only 1 FBD is necessary). Consider the displacement (t) to be the input to the system and the cart displacement az(t) to be the output. You may assume negligible drag. MwSpring-Damper System M0 Problem 3 Repeat problem 2, but with the following differences: • Assume the mass of the handle m, is not equal to zero. You may...
API A spring-mass-damper system is shown in Figure API (a). The Bode diagram obtained by experimental means using a sinusoidal forcing function is shown in Figure AP1(b). Determine the numerical values of m, b, and k -10 -20 5 -30 -40 -50 spring, k r(0) Mass, -90° Damper, b -180° 0.01 0.1 10 100 w (rad/s) FIGURE AP1 A spring-mass- damper system.
A mass-spring-damper system is shown below. If a periodic external forceAssume: r acts on the mass as graphed below, what is the steady state response of the system? D= Spring Mass m External force r(t) Dashpot Vibrating system under considerati r(t) ?/2
1. A spring-mass-damper system of M =0.05 Ib.s/in, K=15 lb/in, and C =0.7 Ib.s/in is subjected to a harmonic force F(t)=30 Cos (10t) Ibf. Determine: (a) The equation of motion of the system (b) The response as function of time (c) The value of the resonance frequency (d) The transmitted force (e) The range of frequencies for which greater force would be transmitted (f) Redesign the system such that only full force is transmitted to the foundation Plt) x(+)
3. The motion of a 1DOF mass-spring-damper system (see Figure 1) is modeled by the following second order linear ODE: dx,2 dt n dt2 (0) C dt where is the damping ratio an wn is the natural frequency, both related to k, b, and m (the spring constant, damping coefficient, and mass, respectively) (a) Use the forward difference approximations of (b) Using Δt andd to obtain a finite difference formula for x(t+ 2Δ) (like we did in class for the...
The landing gear of an airplane can be idealised as the spring-mass-damper system shown in the figure below. If the runway surface is described by y() = Ycoswt, determine the value of the damping coefficient c that gives an amplitude of vibration of the airplane of 1.0 mm. Assume m 153 rad/s. 1.8 mm, and w 2200 kg, k 4.9 MN/m, Y = x(e) Housing with strut and viscous damping Mass of aircraft y(e) Runway ww.
Consider the mass-spring-damper system shown below left. A
spring-based force gage, with spring constant Kgage, is to be
inserted between the spring K and mass M (as shown below right) to
measure the force in K in response to the applied position xin.
With ftrue representing the force in K without the gage present,
and fgage representing the force in K with the gage present, the
Laplace transforms of fgage and ftrue satisfy
Question B A machine on a viscoelastic foundation (Figure 31.1), modelled as a spring mass-damper system is acted upon by a force modelled as a harmonic force: F(t) = 0.2 sin(wt) Force is given in N and time in seconds. W Figure 31.1 Nos Given numerical values: m = 10 kg C=5 M k = 1000 = 1) draw the correct Free-Body-Diagram and determine the equation of motion [2 marks) 2) determine the natural frequency and the damping ratio of...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is pulled a set distance and released from rest. The resulting graph for position of the unknown mass as a function of time is shown below. Oscillating Mass-Spring System 1 position (m) 0.8 0.6 04 02 0 -0.2 5 -0.4 -0.8 times) a) What is the frequency? (1 point) b) What is the amplitude? (1 point) c) What is the angular frequency? (1 points) d)...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
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Please help me with FLOWCHART and UML diagram for class,
thank you!
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