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## Homework Statement

A plumb bob is deflected from the vertical by an angle alpha due to a massive mountain nearby. (A) Find an approximate formula for alpha in terms of the mass of the mountain the distance to its center and the radius and mass of the earth

(B) Make a rough estimate of the mass of mt everest assuming it has the shape say of an equilateral pyramid or cone 4k m above its base and then (c) estimate the angle alpha of the pendulum bob if it is 5 km from the center of mt everest

## Homework Equations

F= G*m1*m2/r^2

G = 6.67*10^-11

shoot idk throw some vector equations in there too

## The Attempt at a Solution

well...i said

Mm = mass of mountain

m = mass of bob

Dm = Distance to mountain from bob

Fm = force exerted by mountain on bob

Me = Mass of earth

Re = radius of earth

Fm = G*Mm*m/(Dm)^2

g = G*Me/(Re)^2

i made a right triangle with vector mg, vector Fm and hypotnuse of the deflected bob string

using trig i got alpha = 90 - theta where tan(theta) = mg/Fm

I know this can't be anywhere near to right...and i dont want to attempt other parts before i get this...PLEASE HELP!!!!!!

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