4) Determine the equivalent spring constant k and the natural frequency wn of a can- tılever...
Advanced Vibrations
Problem 3 Find the equivalent spring constant and determine natural frequency and period of oscillation of mass m The cantilever beam is made of steel so that E 2.1 x 1011 N/m2, and m 20 kg. L=1 m 0.1 m 0.01 m k-2000 N/m
1) A silicon cantilever beam with mass = 4 x 10-10 Kg has a spring constant of 31 N/m. Calculate the natural frequency of the beam in Hz. Assume no damping. 2) An atom in a lattice has a resonance frequency of 9.2 THz. According to quantum mechanics, what is the lowest amount of energy this oscillator can have? Express answer in J.
Question 3 (continued) Determine by suitable calculations: a) the torsion constant (K) of the cross-section; b) the maximum value of torsional shear stress (in N/mm2) present at any point within c) (6 marks) (6 marks) the beam, and state clearly where this occurs; the vertical deflection (in mm) of the centroid of the cross-section at the free end of the beam; (6 marks) d) the total vertical deflection (in mm) of the point A located at the outside edge of...