The tension T in the string of the yo-yo in the figure is T = mtR/2r 2
Question:
The tension T in the string of the yo-yo in the figure is
T = mtR/2r2 + R2
where m is the mass of the yo-yo and g is acceleration due to gravity. Use differentials to estimate the change in the tension if R is increased from 3 cm to 3.1 cm and r is increased from 0.7 cm to 0.8 cm. Does the tension increase or decrease?
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T mgR 2r R so the differential of Tis 3 dT T dR R T r dr mg2r R 2r R 2r Rmg m...View the full answer
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