Question

you swing the pail in a vertical circle of radius 0.900m.What minimum speed must you give the pail at the highest point of the circle if no water is to spill from it?

Answers

bobpursley
well, centripetal force must be greater than weight

mg<=mv^2/r
v>=sqrt(g*r)
check that.
Anonymous
i don't know where to go from there
bobpursley
v is the minimum speed.
Young J. Hong
Consider the following equation in the y-direction.

Fy=T+Fg=ma

Or in this case...

T+Fg=(mv^2)/R

Tension equals to 0 because when the pail of water is at the highest point, tension is nonexistent.

Therefore...

mg=(mv^2)/R

Cancel out mass

g=(v^2)/R

(Rg)^(1/2)=v

Plug in values.

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