A 250 g piece of kryptonite is attached to a 90 cm long masless string to form a pendulum. At its highest point (Point A) the string makes an angle of 55 degrees with the vertical. Its lowest point is Point B and Point C is where the string makes an angle of 35 degrees with respect to the vertical. Find the tension in the string and angular acceleration of the rock at (a) Point A, (b) Point B and (c) Point C.  (a) Draw a free body diagran of the kryptonite, including all relevant angles and axes at Point A, Point B, and Point C. (Three total FBD) (b) Find the angular speed, angular acceleration and tension in the string at Point A.  (c) Find the angular speed, angular acceleration, centripetal force and tension in the string at Point B. (d) Find the angular speed, angular acceleration, centripetal force and tension in the string at Point C.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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A 250 g piece of kryptonite is attached to a 90 cm long masless string to form a pendulum. At its highest point (Point A) the string makes an angle of 55 degrees with the vertical. Its lowest point is Point B and Point C is where the string makes an angle of 35 degrees with respect to the vertical. Find the tension in the string and angular acceleration of the rock at (a) Point A, (b) Point B and (c) Point C. 

(a) Draw a free body diagran of the kryptonite, including all relevant angles and axes at Point A, Point B, and Point C. (Three total FBD)

(b) Find the angular speed, angular acceleration and tension in the string at Point A. 

(c) Find the angular speed, angular acceleration, centripetal force and tension in the string at Point B.

(d) Find the angular speed, angular acceleration, centripetal force and tension in the string at Point C.

Expert Solution
Step 1: Determine the given data:

straight m equals 250 space straight g equals 0.250 space kg
straight L equals 90 space cm equals 0.90 space straight m
straight theta subscript straight A equals 55 degree
straight theta subscript straight C equals 35 degree

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