You find a very tall tree one day and decide to measure the height of the tree using a pendulum. You tie a small rock to

Post by **answerhappygod** » Wed May 25, 2022 6:34 am

: You Find A Very Tall Tree One Day And Decide To Measure The Height Of The Tree Using A Pendulum You Tie A Small Rock To 1 (27.49 KiB) Viewed 18 times

You find a very tall tree one day and decide to measure the height of the tree using a pendulum. You tie a small rock to a rope that is also tied to a branch at the top of the tree, so that when the rope is vertical the rock is very close to the ground. You then release the rock from rest at an initial angle of 5°. You measure the amount of time it takes for the rock to return to your hand. Your friend performs the same experiment with a different tree, but uses a smaller initial angle of only 2.5°. Your friend measures the amount of time it takes for the rock to return to her hand to be half as big as the time you found. (a) What is the equation of motion for a pendulum undergoing simple harmonic motion? What is the frequency? What is the period? (b) Is the height of your tree greater than, less than, or equal to the height of your friend's tree? If there is a difference in height, how much is it?