Swinging over the water hole

dc.creator	Carl E. Mungan
dc.creator	Trevor C. Lipscombe
dc.date	2011-06-01T00:00:00Z
dc.date.accessioned	2015-07-20T22:07:36Z
dc.date.available	2015-07-20T22:07:36Z
dc.identifier	1870-9095
dc.identifier	https://doaj.org/article/f3bfc20fa02044e58c01a79c02f580da
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/11343
dc.identifier.uri	https://doaj.org/article/f3bfc20fa02044e58c01a79c02f580da
dc.description	A child takes a running start, grabs hold of the free-hanging end of a rope at the edge of a water hole at x  0 , swings upward, and lets go of the rope at some point, flying freely through the air until he lands in the water at x R  . For small initial speeds, the maximum range R is obtained by releasing the rope just short of its turning point and dropping almost straight down into the water from rest. On the other hand, as a child’s running speed gets larger and larger (compared to the square root of the product of the length of the rope and earth’s gravitational field), the rope should bereleased at an angle of about  / 4 to maximize the range. That is, the optimum trajectory of a child is dominated by pendulum motion at low running speeds and by projectile motion at high initial speeds
dc.language	English
dc.language	Spanish
dc.language	Portuguese
dc.publisher	Instituto Politécnico Nacional, Latin American Physics Education Network
dc.relation	http://www.lajpe.org/june11/1_LAJPE_495_Carl_Mungan_Preprint_corr_f.pdf
dc.relation	https://doaj.org/toc/1870-9095
dc.source	Latin-American Journal of Physics Education, Vol 5, Iss 2, Pp 335-337 (2011)
dc.subject	Pendulum
dc.subject	projectile
dc.subject	maximum range
dc.subject	numerical solution
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.subject	Special aspects of education
dc.subject	LC8-6691
dc.subject	Education
dc.subject	L
dc.title	Swinging over the water hole
dc.type	Article