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mmHg 10-26. The displacement y(t) of a spring-mass system shown in Fig. P10.26 is given by 0.25 y(t)+ 10 y()0 (a) Find the transient solution, yrun() (b) Find the steady-state solution of the disp...
1. There is a mass-spring-damper system as shown in Fig. 1 (a) Find the total response(x(t)). In ...
1. There is a mass-spring-damper system as shown in Fig. 1 (a) Find the total response(x(t)). In addition, find the transient response and the steady state response in the total response. Assuming, the initial values are zero. (b) Draw the total response using MATLAB or Excel. 2 Ao Fig. 1
1. There is a mass-spring-damper system as shown in Fig. 1 (a) Find the total response(x(t)). In addition, find the transient response and the steady state response in the total...
Problem1: Consider the translational system shown in the figure below. Att-0,x (displacement)-y (...
Problem1: Consider the translational system shown in the figure below. Att-0,x (displacement)-y (let y represents velocity)-fat)0. The physical constants are: M-3,B1,B2B 0.5. Find the first order system equation in y and do following. a) Find the response, y(t) of the system when subjected to a step input,falt)-A b). Find time constant, "7". c Identify the steady state, "yss" and transient, "yr" part of the response. d). Sketch the complete response when the input is unit step function. e). Is the...
damped forced mass-spring system with m 2, and k 26, under the 2 Consider a influence...
damped forced mass-spring system with m 2, and k 26, under the 2 Consider a influence of an external force F(t)= 82 cos (4t) 1, 7 = a) (8 points) Find the position u(t) of the mass at any time t, if u(0) 6 and u'(0) = 0. b) (4 points) Find the transient solution u(t) and the steady state solution U(t). How would you characterize these two solutions in terms of their behavior in time? We were unable to...
3) Consider the following vibrating system u" (1/4) 2u 2 cos (wt), u (0) 0, (0) 2 (a) Find transient and steady states of solution (b) Find the amplitude R of the steady state solution in terms o...
3) Consider the following vibrating system u" (1/4) 2u 2 cos (wt), u (0) 0, (0) 2 (a) Find transient and steady states of solution (b) Find the amplitude R of the steady state solution in terms of w and plot R versus w; (c) Find Rmax and wmax
3) Consider the following vibrating system u" (1/4) 2u 2 cos (wt), u (0) 0, (0) 2 (a) Find transient and steady states of solution (b) Find the amplitude R of...
Use variation of parameters and substitution to find solutions to word problems use technique des...
use variation of parameters and substitution to find solutions
to word problems
use technique described on page
please complete questions circled in the page
Sping T) RLC current : Li dVc dt dt 6. F gram mass on a spring with spring constant k 10 N/m, and resistance of 8 times the velocity, suppose there is an applied force of f(t) -32sin(t) N. (a) Solve for the position of the spring (t) if r is initially at 5 meters beyond...
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring...
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring is given by x(t) = (0.25 m) cos((2/s)t + π/5) A) What are the angular frequency (in rad/s), frequency (in Hz), and period of this motion? B) Find the spring stiffness of the spring. C) Find the x-component of the velocity of the block as a function of time. D) Find the total energy of the block/spring system E) Find the maximum speed of...
please find amplitude and freq of the steady state solution An 8-kg mass is attached to...
please find amplitude and freq
of the steady state solution
An 8-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 20 N/m and the damping constant is 2 N-sec/m. At time t= 0, an external force of 4 sin 2t cos 2t is applied to the system. Determine the amplitude and frequency of the steady-state solution.
Question (b) Ans : root(7/2) , 16/((5)^(1/2)) 9. Consider a mass-spring system as shown in the...
Question (b)
Ans : root(7/2) , 16/((5)^(1/2))
9. Consider a mass-spring system as shown in the figure with a body of mass m, a spring and a dashpot. Let k, c and r(t) be the spring constant, the damping constant and driving force, respectively Let y(t) be the displacementMass of the body from the equilibrium with downward direction as positive. b) [7pts] Let m=1, c=1, k=4, and r(t) 8cosut. Determine w such that you get the steady-state vibration of maximum...
use variation of parameters and substituion to find solutions to word problems use technique decribed on...
use variation of parameters and substituion to find solutions
to word problems
use technique decribed on page
please complete questions circled in the page
Spring : m = k(T-T,n) RLC current : Lan-R di dVc dt 6. F gram mass on a spring with spring constant k 10 N/m, and resistance of 8 times the velocity, suppose there is an applied force of f(t) - 32sin(t) N. (a) Solve for the position of the spring (t) if is initially at...
6 (10) Spring Problems: (a) Find the displacement, y(t), (in arbitrary units) as a function of time for the mass in a mass-spring system described by the differential equatiorn Zy" 10y' +...
6 (10) Spring Problems: (a) Find the displacement, y(t), (in arbitrary units) as a function of time for the mass in a mass-spring system described by the differential equatiorn Zy" 10y' + 8y = 100 cos 3t + 4et assuming that the mass is released from rest at the equilibrium position. (This forcing function is not very realistic.) (b) Assume the equation from part (a) describes a mass-spring-dashpot system with a dashpot containing honey. Imagine that the honey is changed...
1. There is a mass-spring-damper system as shown in Fig. 1 (a) Find the total response(x(t)). In addition, find the transient response and the steady state response in the total response. Assuming, the initial values are zero. (b) Draw the total response using MATLAB or Excel. 2 Ao Fig. 1
1. There is a mass-spring-damper system as shown in Fig. 1 (a) Find the total response(x(t)). In addition, find the transient response and the steady state response in the total...
Problem1: Consider the translational system shown in the figure below. Att-0,x (displacement)-y (let y represents velocity)-fat)0. The physical constants are: M-3,B1,B2B 0.5. Find the first order system equation in y and do following. a) Find the response, y(t) of the system when subjected to a step input,falt)-A b). Find time constant, "7". c Identify the steady state, "yss" and transient, "yr" part of the response. d). Sketch the complete response when the input is unit step function. e). Is the...
damped forced mass-spring system with m 2, and k 26, under the 2 Consider a influence of an external force F(t)= 82 cos (4t) 1, 7 = a) (8 points) Find the position u(t) of the mass at any time t, if u(0) 6 and u'(0) = 0. b) (4 points) Find the transient solution u(t) and the steady state solution U(t). How would you characterize these two solutions in terms of their behavior in time? We were unable to...
3) Consider the following vibrating system u" (1/4) 2u 2 cos (wt), u (0) 0, (0) 2 (a) Find transient and steady states of solution (b) Find the amplitude R of the steady state solution in terms of w and plot R versus w; (c) Find Rmax and wmax
3) Consider the following vibrating system u" (1/4) 2u 2 cos (wt), u (0) 0, (0) 2 (a) Find transient and steady states of solution (b) Find the amplitude R of...
use variation of parameters and substitution to find solutions
to word problems
use technique described on page
please complete questions circled in the page
Sping T) RLC current : Li dVc dt dt 6. F gram mass on a spring with spring constant k 10 N/m, and resistance of 8 times the velocity, suppose there is an applied force of f(t) -32sin(t) N. (a) Solve for the position of the spring (t) if r is initially at 5 meters beyond...
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring is given by x(t) = (0.25 m) cos((2/s)t + π/5) A) What are the angular frequency (in rad/s), frequency (in Hz), and period of this motion? B) Find the spring stiffness of the spring. C) Find the x-component of the velocity of the block as a function of time. D) Find the total energy of the block/spring system E) Find the maximum speed of...
please find amplitude and freq
of the steady state solution
An 8-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 20 N/m and the damping constant is 2 N-sec/m. At time t= 0, an external force of 4 sin 2t cos 2t is applied to the system. Determine the amplitude and frequency of the steady-state solution.
Question (b)
Ans : root(7/2) , 16/((5)^(1/2))
9. Consider a mass-spring system as shown in the figure with a body of mass m, a spring and a dashpot. Let k, c and r(t) be the spring constant, the damping constant and driving force, respectively Let y(t) be the displacementMass of the body from the equilibrium with downward direction as positive. b) [7pts] Let m=1, c=1, k=4, and r(t) 8cosut. Determine w such that you get the steady-state vibration of maximum...
use variation of parameters and substituion to find solutions
to word problems
use technique decribed on page
please complete questions circled in the page
Spring : m = k(T-T,n) RLC current : Lan-R di dVc dt 6. F gram mass on a spring with spring constant k 10 N/m, and resistance of 8 times the velocity, suppose there is an applied force of f(t) - 32sin(t) N. (a) Solve for the position of the spring (t) if is initially at...
6 (10) Spring Problems: (a) Find the displacement, y(t), (in arbitrary units) as a function of time for the mass in a mass-spring system described by the differential equatiorn Zy" 10y' + 8y = 100 cos 3t + 4et assuming that the mass is released from rest at the equilibrium position. (This forcing function is not very realistic.) (b) Assume the equation from part (a) describes a mass-spring-dashpot system with a dashpot containing honey. Imagine that the honey is changed...
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