QUESTION 1 Consider a 2 DOF system shown below. X1 k₁ m1 F₁ k₂ X2 k3 m₂ F2 The modeshape can be written as (1))] What is x for the second modeshape? Use scientific notation with 3 significant digits and omit units. (eg. -0.123) Let m1 = 2, m2 = 2, k1 = 9, k2 = 8, and k3 = 8.

A14 Surface plate is an example of marking tool. () True ) False Encircle the correct Answer Pounds per minute is the unit of [b] Axial stiffness [d] Horse power A15 [a] Angular stiffness [c] Radial stiffness The most common type of rolling contact bearing is [a] Ball thrust bearing [c] Ball bearing A16 [b] Roller thrust bearing [d] Roller bearing In horizontal alignment of shaft using DTI method, the measuring units are moved from _O'clock to O'clock position. A17 [b] 3,6 [d] 9,3 [a] 3, 9 [c] 6,3 Which of the following lubrication method make use of siphon action to lubricate the bearing? [a] Grease packing [c] Wick A18 [b] Circulating [d] Bath Tool used to cut internal thread is [a] Die [c] Taps [)] Тар wrench [d] Die wrench A19 Which of the following is not a part of milling machine? A20 [a] Saddle [b] Column [c] Table [d] Ram

A 令 Wed 17 Mar 12: moodle1.du.edu.om DU - Moodle English (en) - Mohammed Ahmed Al Sarj Al Marhoon tion 6 et ered K ed out of 000 ag cion M (t) fv Mä + f,* + kx + f(1) = 0 Mä + f,x+ kx = f (t) c. fyä+ Mx + kx = 0 d. fä+ Mx + kx = f(t) а. b. %3D The differential equation of the system is Select one: а. с O b. b O C. d d. a étv W acBook Air DII DD F7 F8 F9 F10 F11 F12 V 9. P ]{ 3 * CO

Solve the following: (Show all details) 1. Let matrices be ГО 21 C = 2 4 li 3] [0 -5 -3] 11 D = |-4 7 L-8 3. 4] [6 A = |-1 2 2 B = |-5 2 4 4. L-3 4 [-4.5] v =| 0.8 u = |0 1.2. Find the following expressions or give reasons why they are undefined. i. C+ D, D + C, 6(D-C), 6C-6D ii. A + C-D, C-D, D-C, B + 2C + 4D iii.33u, 4v + 9u, 4(v + 2.25u), u-v

Task 3: In the below figure you can see the frequency response of the spring-mass damper system (e.g. force sensor element). Magnitude [dB] 20 10 0 -10 -20 -30 -40 -50 -60 -70 -80 -90 0.001 0.01 0.1 Frequency [Hz] 1 10

Q4/ For the figure below:* a) gFy is: 0 0 0 0 0 0 C Op С O-860.12 O 0 0 0 0 0 0 C 0.6m 0.2 F2=1000 N -824.59 С -831.64 -900 -789.22 Q4/b) EFx is: * 0 0 0 0 0 0 0 - 840.88 Other: O-525.146 O-521.46 O -510.2 • -499.54 490.54 -515.32 0 Other: Q4/C) The resultant R is * 977.6 983.57 950.21 945.54 960.24 965.22 400 Other: 0.8m F1=1600N 0.4 4 F3=900 N 3 F4=1200N Q4/d) The resultant direction is 0 0 0 0 0 0 0 0 58 60 65 54 50 52 63 Other:

sn3 Read and analyze the following questions and answer themvery carefully. Show your complete (show unit cancellation)and step-by-step solution and box your final answer. Use threedecimal places.

36- O A) 30 i- 19 k Nm B) 30 i+9k Nm C) 30 j-9k Nm O D) 12i+30j-9k Nm O E) 9j+30 k Nm

I only need the answer to part c and part d Newton's second law of motion was used to obtain the differential equation mi = -kx - câ that models harmonic motion. a) The dots denote differentiation with respect to time t. Explain the meaning of each term (there are three) and each factor (there are six) in the equation. If MKS (meters, kilograms, seconds) units are used, what are the units of each of the six factors? b) Suppose m =and k = 4 (MKS units). What values of c correspond to a system that is i) i) ii) underdamped, overdamped, and critically damped? c) Solve the critically damped case of the IVP = -4x - ck, x(0) = 1,¿(0) = -10. d) Find the value of t at which x(t) = 0

Use of Infinite Sequences and Series in Problem Solving of Special Theory of Relativity.  A spacecraft travels fast the earth has a greater velocity (ⱱ) which approximates the speed of light. The time (to) measured in the spacecraft is different from the time (t) measured on earth. The time difference is given, to = t √1- ⱱ 2/c2 = t (1 – ⱱ 2/c2)1/2.