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Is this balanced? 30 kg 20 kg 80 kg 23 10

Is this balanced? 30 kg 20 kg 80 kg 23 10

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Does it move counterclockwise, clockwise or its balanced, explain why

The image poses the question, "Is this balanced?" and shows a see-saw with three people sitting on it. - On the left side, there are two children: - A child weighing 30 kg sits at position 8. - Another child weighing 20 kg sits at position 5. - On the right side, there is one adult: - The adult weighs 80 kg and sits at position 3. The see-saw rests on a fulcrum positioned at the center, marked as 0. Positions are numbered from 1 to 8 on both sides of the fulcrum. To determine if the see-saw is balanced, one can use the principle of moments, which entails multiplying the weight by the distance from the fulcrum for each person. If the total moment (weight times distance) on both sides is equal, the see-saw is balanced. In this case: - Left side moments: - 30 kg × 8 = 240 kg units - 20 kg × 5 = 100 kg units - Total = 340 kg units - Right side moment: - 80 kg × 3 = 240 kg units The see-saw is not balanced because the moments are not equal; the left side has a greater moment than the right side.
Transcribed Image Text:The image poses the question, "Is this balanced?" and shows a see-saw with three people sitting on it. - On the left side, there are two children: - A child weighing 30 kg sits at position 8. - Another child weighing 20 kg sits at position 5. - On the right side, there is one adult: - The adult weighs 80 kg and sits at position 3. The see-saw rests on a fulcrum positioned at the center, marked as 0. Positions are numbered from 1 to 8 on both sides of the fulcrum. To determine if the see-saw is balanced, one can use the principle of moments, which entails multiplying the weight by the distance from the fulcrum for each person. If the total moment (weight times distance) on both sides is equal, the see-saw is balanced. In this case: - Left side moments: - 30 kg × 8 = 240 kg units - 20 kg × 5 = 100 kg units - Total = 340 kg units - Right side moment: - 80 kg × 3 = 240 kg units The see-saw is not balanced because the moments are not equal; the left side has a greater moment than the right side.
Expert Solution
Step 1: Given and Required

We have three masses,

m subscript 1 space equals space 30 space k g space m subscript 2 space equals space 20 space k g m subscript 3 space equals space 80 space k g

Position of m subscript 1 space comma space end subscript m subscript 2 space a n d space m subscript 3 are respectively,

 r subscript 1 space equals space 8 r subscript 2 space equals space 4 r subscript 3 space equals space 3

We need to tell whether the system is balanced or not.

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