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2. Consider the curve ø(t) = (t² – 4t + 2, cos(t²), ' sin(t²)) for t e (0, 1). (a) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M = 2. (b) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M(x, y, z) = /1+ x² + y² + z².

2. Consider the curve ø(t) = (t² – 4t + 2, cos(t²), ' sin(t²)) for t e (0, 1). (a) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M = 2. (b) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M(x, y, z) = /1+ x² + y² + z².

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2. Consider the curve ø(t) = (t² – 4t + 2, cos(t²), ' sin(t²)) for t E (0, 1). (a) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M 2. (b) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M(x, y, z) = /1+ x² + y² + 2².
Transcribed Image Text:2. Consider the curve ø(t) = (t² – 4t + 2, cos(t²), ' sin(t²)) for t E (0, 1). (a) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M 2. (b) Find the work required to bend a straight rod into ø, assuming a stiff- ness of M(x, y, z) = /1+ x² + y² + 2².
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