Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.3 4.3bsd-beta 6/6/85; site ucbvax.BERKELEY.EDU Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxn!ihnp4!ucbvax!ernie!rimey From: rimey@ernie.BERKELEY.EDU (Ken &) Newsgroups: net.physics,net.space,net.research Subject: Re: Star-Wars/Space Telescopes (parabolic mirrors) Message-ID: <11128@ucbvax.BERKELEY.EDU> Date: Mon, 2-Dec-85 18:39:16 EST Article-I.D.: ucbvax.11128 Posted: Mon Dec 2 18:39:16 1985 Date-Received: Thu, 5-Dec-85 04:19:20 EST References: <384@ukc.UUCP> <26@sbcs.UUCP> <1124@gitpyr.UUCP> Sender: usenet@ucbvax.BERKELEY.EDU Reply-To: rimey@ernie.UUCP (Ken Rimey) Organization: University of California, Berkeley Lines: 18 Xref: watmath net.physics:3651 net.space:4841 net.research:369 Summary: Catenary is wrong analogy >> Seems to me that since air pressure is the same in all directions, this >> would give a spherical rather than a parabolic mirror. >By the same argument, a suspended string would form a spherical arc - >instead, the form is a catenary, described by the hyperbolic functions. > ... >Don Barry (Chemistry Dept) CSnet: cmpbsdb%gitpyr.GTNET@gatech.CSNET No, Saumya is certainly right. Soap bubbles are certainly spherical, even when they sit on circular wire frames. The force on each piece of the surface is equal to the pressure (times the area of the piece) and oriented perpendicular to that piece. If on each piece of a string you put a force (proportional to the length of the piece) perpendicular to that piece of string, the string would form a circle. THAT is the correct analogy. Ken Rimey rimey@dali.berkeley.edu