impelled rod

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An upright rod of mass M and length L is given an impulse J at its base, directed at 45^o upward from the horizontal, which sends the rod flying. What value(s) should J have so that the rod lands vertically again (i.e., upright on the end at which J was applied)?

Answer : 

Solutions (listed by author)

Kim Soong Ki (pdf, 64K)

Giampiero Sciortino (pdf, 60K) and animation (nb, 8K)

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