I have normal pointing up and gravity pointing down, assuming this is at the top of the sphere. Assuming this is right where the boy's about to lose contact, gravity would still be down and normal force would be pointing perpendicular to the sphere. The normal force's direction will consistently...
F=mg+n
I thought if the force was centripetal it could be
F=mg+n=mv2/r
I understand what you mean that when n=0, that will be when the boy lost contact with the ice, but I'm still not sure how to connect that to an equation where I can find a time or height that it happens.
Homework Statement
A boy is initially seated on the top of a hemispherical ice mound of radius r=13.8m. He begins to slide down the ice, with an initial speed vi=3m/sec. Approximate the ice as being frictionless. At what height does the boy lose contact with the ice?
Homework Equations...
There's a possibility I'm over-thinking it. My instructor likes to go all-out with some questions, but this might just be him checking out understanding. I'm not sure.
Homework Statement
All this problem says is to find ω and T of a pendulum with a length L and mass m.
There's a picture of a pendulum labeling the arc length, length, mass, and angle θ with just symbols.
Homework Equations
The Attempt at a Solution
I tried solving algebraically...