1. Let us assume the "Saw-Tooth" signal is having amplitude X. Check the Average & RMS values are same its magnitude. xw12 TT 2TT 0 -X Wt -T- 2. A spring with k = 4500 N/cm supports a mass of 1.5 Kg. Determine the 'natural frequency of this system in rad/sec & Hz? 3. Determine the fourier series that represents the function as follows; T = 8, Ao = 0 (Symmetrical) i.e. -4 to 0; y(t) = -1 & 0 to 4; y(t) = 1 4. A Cantilever beam deflects downwards when a mass is attached to its free end. The deflection(8) is the function of beam stiffness(K), applied mass(M) and gravitational forcelg = 9.81 m/s): K8 = Mg The various mass are placed on the end of the beam and corresponding deflections are noted as follows: Mass 50.15 99.90 150.05 200.05 250,26 299.95 350.05 401.00 Deflection 0 0.6 1.8 3.0 3.6 4.8 6.0 6.2 7.5 SP22, AY2021-2022 Page 1 Sultanate of Oman University of Technology and Applied Sciences Suhar Department of Engineering Assignment Course Code: ENME2107 Course Name: Instrumentation & Measurements & Assignment SPRING 2022 Using the "Correlation coefficient" equation, check whether the 'line-fitting' has; (i) strong positive linear relationship (ii) strong negative linear relationship no linear relationship 5. The bottom 30% of students failed during semester exam. The mean for the test was 120 and the standard deviation was 17. What was the passing score? FAIL 30 111