solve the following question For the system shown in the figure below x and y denote,...
2(35%) Consider the system shown below. (a) Derive the equation of motion of the mass m. (b) Find the steady-state displacement of the mass m. (c) Find the force transmitted to the support at P. y()-Ycos wt C2
2(35%) Consider the system shown below. (a) Derive the equation of motion of the mass m. (b) Find the steady-state displacement of the mass m. (c) Find the force transmitted to the support at P. y()-Ycos wt C2
5. 20% Consider the base excitation problem for the configuration shown in the figure. In this case the base motion is a displacement transmitted through a damper. Derive an expression for the force transmitted to the support in steady-state. (Hint: the force transmitted to the support is F=kx) 1 y(t)= Y sin e
please solve both. thank
you!
A mass of 1.25 kg stretches a spring 0.06 m. The mass is in a medium that exerts a viscous resistance of 56 N when the mass has a velocity of 2 . The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.03 m and released. Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive...
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(+)
i want to get part c,d
The figure below is a gear-train mechanical system driven by a prescribed motion in the form of an angular displacement y(t). The motion is caused by an applied torque T(t) generated by a motor. The mass moment of inertias of the motor and the driving gear are J and J, respectively, whereas the mass moment of inertias of the load and the driven gear are J, and J2, respectively. The radii and angular displacements...
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...
The SDOF system in Fig. P4.10 is subjected to harmonic excitation z(f) = Z cos £2i applied at point P. Express your answers to the following in terms of the givens: m, c, k, Z, and £2. (a) Derive the equation of motion of the system with the absolute displacement u(t) as the unknown, (b) Derive the equation of motion of the system with the relative displacement iv(t) = z — u as the unknown, (c) Determine expressions for co„...
1. Derive equation of motion 2. Use Laplace transformation to get the analytical solution. 3. Find expression of displacement and velocity Problems I. An instrument is attached to a base whose motion is to be measured. The relative motion between mass m and the base recorded by a rotating drum will indicate the motion of the base. Assume that x is the displacement of the mass, y is the displacement of the base, and z x-y is the motion of...
Please solve the problem below. I would really like to see work
shown so I can understand the concepts and the things I am doing
incorrectly.
|(1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 8 cm/s. If the mass is set...
find the solution in working model.
5). A mass m moves over a horizontal surface under external harmonic excitation. The mass is attached to one end of a nonlinear spring and to one end of a linear damper whose other ends are anchored in an immovable wall (see Fig.). Plot x(t) and v(x) for different initial conditions. Parameters: m = l, b = 0.1. h1-0.8, ω-38, spring parameters are shown in Fig. h1coswt F(x) F(x) C1 = 8
5). A...