SOLUTION: A pendulum consists of a mass hanging at the end of a string which is 18cm long. Find the vertical height through which the mass rises and falls as the pendulum swings through 30

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Question 1182465: A pendulum consists of a mass hanging at the end of a string which is 18cm long. Find the vertical height through which the mass rises and falls as the pendulum swings through 30 degree on each side of the vertical
Answer by ikleyn(52835) About Me  (Show Source):
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A pendulum consists of a mass hanging at the end of a string which is 18cm long.
Find the vertical height through which the mass rises and falls as the pendulum
swings through 30 degree on each side of the vertical
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Let the level of the pendulum suspension point be 0 (zero).


Then the upper level of the mass is  h%5Bupper%5D = -18*cos(30°) = -18%2A%28sqrt%283%29%2F2%29 cm.


     the lower level of the mass is  h%5Blower%5D = -18 cm.


Vertical distance between these levels is  


    h%5Bupper%5D - h%5Blower%5D = 18*(1-cos(30°)) = 18%2A%281-%28sqrt%283%29%2F2%29%29 = 2.412 cm   (rounded).    ANSWER

Solved.