impelled rod

Atwood's machine ] bag of marbles ] balance moon stone ] ball up/down ] bead parabola accelerometer ] boat anchor lake ] boat time ] bobbin on incline ] bosun's chair ] bouncing ball ] bowling ball rolling ] bug on band ] bursting shell ] falling chain ] Feynman's restaurant problem ] five pills ] flying cable ] forced pendulum ] gold mountain ] half pills ] hallway pole ] [ impelled rod ] inelastic relativistic collision ] infinite pulleys ] mass on an incline ] maximum angle of deflection ] packs of shirts ] particle in bowl ] particle in cone ] particle on sphere ] particle points parabola ] pile of bricks ] pion muon neutrino ] piston ramp spring ] plank weight trough ] rocket vs. jet ] roll without slipping ] rough inclined plane ] shooting marbles ] speedometer test ] three balls ] three logs ] turntable cart ] two rolling balls ] wheel and block ] whirling pendulum ] worlds fair ornament ]

service

An upright rod of mass M and length L is given an impulse J at its base, directed at 45o 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)

 

Copyright 2000-2013 Michael A. Gottlieb. All rights reserved.