I need some help on the first one ONLY!!! I got 12.16 m for part A !!! I need pa

Question

I need some help on the first one ONLY!!! I got 12.16 m for part A !!!

I need part B and C

On a trip to Griffith Observatory in LA, you see a long pendulum swinging in the main lobby. You time one oscillation to take 7.0 s. As a gift for going to a (insert your favorite sports team here) game, you receive a bobble- head doll of your favorite player. Being the industrious physicist that you are, you run some tests and determine that the head of the doll is 20 g and that it oscillates in SHM with a frequency of 4.8 Hz. You are setting up a clothesline to dry some laundry. The clothesline has a mass of 350 g and once hung properly, is under 16 N of tension. You flick one end of the clothesline as you finish up and notice that it takes 0. 50 s for the pulse to travel the length of the clothesline. How long is the clothesline?

Explanation / Answer

PE at top = KE at bottom. Put datum at lowest point

mgL*(1-cos3) = 0.5*m*v^2 => v = 0.571m/s

It is a Foucault Pendulum which is generally used to demonstrate the rotation of earth. Because of earths rotation the projection of pendulum bob trajectory on to the under lying sheet rotates as time proceeds. The rate of rotation of this projected line (or equivalently the plane of motion) depends on the latitude, becoming slower as the pendulum is placed closer to the equator; at the equator, a Foucault pendulum does not rotate. So we can use it to know latitude at a place

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