2) A linear elastic SDOF system is given below with Tn= 1.1 s, m 1 kg, & = 5 %, u(0) = 0, ú(0) = 0. Determine the %3D %3D displacement response u(t) under the base excitation ü, (t) defined below. Use At = 0.1 s in calculations. 0.6 m 0,1 0,2 0,3 0,4 0,5 k]c üg -0.4 Time (s) (5) *n

(b) A passenger car has a tyre spring rate of 18,900 N/m. The front suspension rate is 1,450 N/m and the rear is 1,050 N/m. Assume the front tyres are loaded to 10,000 N and rear tyres are at 7,900 N. (i) Solve the front suspension ride rate in N/m. (11) Evaluate the natural frequency at front suspension.

(k - 1)/k P2 Tds relationship: Tds = dh -vdp. Start from the Tds function, please derive that . Please T1 P1 list clearly the assumptions/conditions applied for the derivation

1. For the two-bar truss shown below, find the displacements at node 2 in terms of the problem parameters H, A, E and P. Work out the solution first by hand and then check your result using the Matlab bar element code. EA \\\ (3) H E, A E,2A H H/2

Consider the loaded shaft illustrated in Figure Q4 (i). The shaft is simply supported at A and D. The shoulder fillet radius is 0.3 cm at B and C. If the shaft is subjected to a force of F=800 N, determine the following:

Figure Q2 shows discrete locations of sampled soil electrical conductivity (dS/m). Estimate the magnitude of electrical conductivity at points P, R and T using inverse distance weighting 24 24 Estimate the accuracy of the estimation based on R² if the actual values at P is 5.2 dS/m, at 11 dS/m, and 6.9 dS/m at R 21 12 18 15 12 11 9 6 3 3 1.5 23 R 0 3 6 9 50 17 T 12 12 15 18 Figure Q2 24 21 24

For point a, suggest a different form but the same equation without removing u

d²x dt² Fin = m- dx +Ka +K₂x dt m = - Equation 2 (M) Equation 2 (M) is a second order differential equation that models the relationship between the input force Fin being applied to a shock absorber system and the shock absorber spring displacement 'x'. (i) Assuming ALL initial conditions are zero and using the constants below, solve the second order differential equation given in equation 2 (M). Use Laplace Transforms. The input is a step of 2 N. (ii) The friction constant within the dashpot has been reduced by a factor of 4. Again using Laplace Transfroms, solve the equation and comment on the results. (iii) Calculate the value of friction constant that will give a critically damped response. 10 kg, Ka= 50 N/m/s, K, = 80 N/m

Q5

0 Solve step by step dont use chatgpt CALCULATE THE REACTIONS AND THE FORCE IN EACH BAR THANK YOU VOC 77 + 3 3m S 4 2 3m 15 3m 2 KN