You make a conical pendulum (Figure 1) using a string of length 0.900 m and a bob of mass 0.350 kg. When the bob is moving in a circle at a constant speed, the string is at an angle of 10.0∘ from the vertical. What is the radius of the circle around which the bob moves? How much time does it take the bob to complete one circle? What is the tension in the string?

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.46P
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You make a conical pendulum (Figure 1) using a string of length 0.900 m and a bob of mass 0.350 kg. When the bob is moving in a circle at a constant speed, the string is at an angle of 10.0∘ from the vertical. What is the radius of the circle around which the bob moves? How much time does it take the bob to complete one circle? What is the tension in the string?

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Expert Solution
Step 1

Given data:

  • The mass of the ball, m=0.350 kg.
  • The length of string, l=0.900 m.
  • The angle of string, β=10°.

Calculate the radius of the circle as follows:

sinβ=RLsin10°=R0.900 mR=sin10°×0.900 m=0.156 m

Hence, the radius of the circle is 0.156 m.

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