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0=3² w² - 0 = 2βω – B = b W= m b 2m k 319 3. From the answer to Q2, solve for 3 and w to show that, m m 3 B+ - m 62 4m² FYI, ß is called the damping parameter, and wis the frequency of oscillation in the presence of linear drag.

0=3² w² - 0 = 2βω – B = b W= m b 2m k 319 3. From the answer to Q2, solve for 3 and w to show that, m m 3 B+ - m 62 4m² FYI, ß is called the damping parameter, and wis the frequency of oscillation in the presence of linear drag.

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0=3² w² b 0 = 2βω - Ξω m B = 3. From the answer to Q2, solve for B and w to show that, W= b 2m k m m + m 6² 4m² FYI, B is called the damping parameter, and wis the frequency of oscillation in the presence of linear drag.
Transcribed Image Text:0=3² w² b 0 = 2βω - Ξω m B = 3. From the answer to Q2, solve for B and w to show that, W= b 2m k m m + m 6² 4m² FYI, B is called the damping parameter, and wis the frequency of oscillation in the presence of linear drag.
Useful information Product rule Trig derivatives d(uv) = du v + u dv d du d du cos au=-a sin au sin au a cos au Derivative of natural log base d - eau: du au ae Sine plus cosine equation: if the sum of sines and cosines is zero for all angles, then the coefficients of the sines and cosines are themselves identically zero 0 = Pcos u + Q sin u P = 0 Q=0
Transcribed Image Text:Useful information Product rule Trig derivatives d(uv) = du v + u dv d du d du cos au=-a sin au sin au a cos au Derivative of natural log base d - eau: du au ae Sine plus cosine equation: if the sum of sines and cosines is zero for all angles, then the coefficients of the sines and cosines are themselves identically zero 0 = Pcos u + Q sin u P = 0 Q=0
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