vikas askiitian expert
Last Activity: 13 Years ago
dear shivam ,
let bob of pendulam is raised to heigth H , then it is allowed to fall ....
this point will be extrimity of its motion ...now bob will move from this position to lowermost position (mean position) ... from enegy conservation
(KE)i + (PE)i = (KE)f + (PE)f (i , f are initial & final state)
initially bob was at rest so (KE)i = 0 (at extreme pos)
finally bob was moving so (KE)f = K (at mean pos)
initially it was at height H so PE stored = mgH (at extreme pos)
finally it comes down so its PE becomes 0 .. (at mean pos)
since energy is conserved so we can say that all of its PE is converted into its KE when it is at lowermost point(mean pos)...
therefore maximum velocity of bob is at mean position ...
methametically , v = AWcoswt ..........1 &
x = Asinwt ........2
V is max when coswt = + or -1
wt = 0 or pi
at 0 or pi , x = 0
x = 0 , means mean position ...
therefore max velocity at mean pos only ...