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1. Define simple harmonic motion for a particle moving in a straight line.2. Use your definition to explain how simple harmonic motion can be represented by the equation.3. Show that the above equation is dimensionally correct.4. A mechanical system is known to perform simple harmonic motion. What quantity must be measured in order to determine frequency for the system? |
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Answer» 1. A periodic motion in which acceleration is directly proportional to displacement and opposite in direction is called simple harmonic oscillation. 2. Mathematically, a simple harmonic oscillation can be expressed as y = a sin wt (or) y = a cos wt 3. y = a sin w t Sin wt has no dimension. Hence we need to consider dimension of ‘a’ only, ie, y = a, L = L 4. Its period is determined. |
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