Derive equations of motion (answers are provided in the figures below) and find the frequency of oscillation for all the oscillating systems shown below from first principles. Use some physics reasoning and any approach you feel reasonable like Newton's Second law, conservation of energy or Lagrange's formula. U-tube of constant cross-section plx + 2pg x = 0 02 = 29/1 a) Ü P
Mass at the centre of a string under constant tension mx + 2T 4 = b) 02= 2T im m T T X 21
Hydrometer in a liquid c) ( ol m mž + Apgx = 0 02 = Apg/m
Rotating Ball on a Spring d) m k lllllllll mä +-kor=0 5k 0 7m
Derive equations of motion (answers are provided in the figures below) and find the frequency of oscillation for all the
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Derive equations of motion (answers are provided in the figures below) and find the frequency of oscillation for all the
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