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Ok so my professor gave us a bunch of review problems before our final, (including some topics we did not cover in class) and there a 2 that i have been trying to figure out/asking friends for help for days to no avail
1) A parachutist falling to earth is subject to two forces, her weight w=32 (m=her mass) and the drag on the parachute. Assume the drag on the parachute= 8|v|, that v(0)=0 and she weighs 128 pounds. Find formulas for velocity= v(t) and for the distance x= x(t) that she has fallen after t seconds.
ok so i know Force = F = 128-8v and F=ma= 4 dv/dt ....outside of this im completely lost
2) Power cables 10 yards apart form a catenary with length of cable 22 yards. Find the slope of the catenary where the cable meets the right-hand tower.
is this simply:
y=(a)cosh(x/a)
y`=22(1/22)sinh(x/a) = sinh(x/a)
m=sinh(b/a)
m=sinh(5/22)
or am i completely off here? Thanks in advance
That should read:
is this simply:
y= (a)cosh(x/a)
y`=22(1/22)sinh(x/a) = sinh(x/a)
m=sinh(b/a)
m=sinh(5/22)
typo?, w is not 32: m=4 and w=128 since 4 tmz 32 = 128, where 32 = gravity in English.
Last edited by John E. Franklin (2008-05-06 12:14:48)
igloo myrtilles fourmis
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falling linear.drag
See exponential equations...
http://hyperphysics.phy-astr.gsu.edu/hbase/lindrg.html#c3
igloo myrtilles fourmis
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