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Published byDeirdre Parks Modified over 5 years ago
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PROBLEM SET 2 Do problem 1 of “section 3.11: Exercises” in page 50 of text. Do problem 5 of “section 3.11: Exercises” in page 51 of text. Do problem 10 of “section 3.11: Exercises” in page 51 of text.
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Problem 3.11(1) Problem 1: Find R(x,): a rotation of radians about [1, 0, 0]T Solution: where This is a rotation about the X-axis
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Problem 3.11(1) Problem 1: Find R(y,): a rotation of radians about [0, 1, 0]T Solution: where This is a rotation about the Y-axis
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Problem 3.11(1) Problem 1: Find R(z,): a rotation of radians about [0, 0, 1]T Solution: where This is a rotation about the Z-axis
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Problem 3.11(5) The following are given:
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Problem 3.11(5) The axis of rotation is the eigenvector of R corresponding to =1
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Problem 3.11(5) Multiply 3rd eqn by -5 and add it to 1st eqn to eliminate
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Problem 3.11(5) Divide 2nd eqn by and simplify using the known result:
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Problem 3.11(5)
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Problem 3.11(10) With Before rotation
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Problem 3.11(10) With After rotation
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Problem 3.11(10)
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Problem 3.11(10) Story so far …. Therefore
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Problem 3.11(10) Using No translation along screw axis
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Problem 3.11(10)
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