Podcast Beta
Questions and Answers
What is the principle of moment?
What is the condition for a system to be in equilibrium according to the principle of moment?
What is the formula for the principle of moment in a simple case?
A seesaw in a children's park is 6m long which is pivoted at its center. A child with a weight of 200N sits at the end of the seesaw on the right side. Where should her friend with a weight of 300N sit to balance the seesaw?
Signup and view all the answers
What is the purpose of the principle of moment?
Signup and view all the answers
The principle of moment states that the total clockwise moment is equal to the total counter-clockwise moment when a body is in equilibrium.
Signup and view all the answers
A beam balance works on the principle of rotation.
Signup and view all the answers
In equilibrium, the total counter-clockwise moments are less than the total clockwise moments.
Signup and view all the answers
The formula F1 x d1 = F2 x d2 represents a simple case of the principle of moment.
Signup and view all the answers
The principle of moment can be applied to a seesaw in a children's park.
Signup and view all the answers
The friend with a weight of 300N should sit 4m to balance the seesaw.
Signup and view all the answers
Study Notes
Principle of Moment
- The principle of moment states that the total counter-clockwise moment is equal to the total clockwise moment when a body is in equilibrium.
- This principle applies to systems in equilibrium, where the total counter-clockwise moments equal the total clockwise moments.
Examples of Principle of Moment
- A beam balance and see-saw work on the principle of moment.
- Example 1: If a system is in equilibrium, then the total counter-clockwise moments equal the total clockwise moments.
- This can be mathematically represented as: F1 x d1 = F2 x d2.
- Example 2: If a system has multiple forces, the total counter-clockwise moments equal the total clockwise moments.
- This can be mathematically represented as: F1 x d1 + F3 x d3 = F2 x d2.
Problem-Solving using Principle of Moment
- A 6m long seesaw is pivoted at its center, and a child with a weight of 200N sits at one end.
- To balance the seesaw, the friend with a weight of 300N should sit at a distance from the pivot point that satisfies the principle of moment.
- Mathematically, this can be represented as: 300 x d1 = 200 x 3, where d1 is the distance from the pivot point.
- Solving for d1, we get d1 = 2m, which is the distance from the pivot point where the friend should sit to balance the seesaw.
Principle of Moment
- The principle of moment states that the total counter-clockwise moment is equal to the total clockwise moment when a body is in equilibrium.
- This principle applies to systems in equilibrium, where the total counter-clockwise moments equal the total clockwise moments.
Examples of Principle of Moment
- A beam balance and see-saw work on the principle of moment.
- Example 1: If a system is in equilibrium, then the total counter-clockwise moments equal the total clockwise moments.
- This can be mathematically represented as: F1 x d1 = F2 x d2.
- Example 2: If a system has multiple forces, the total counter-clockwise moments equal the total clockwise moments.
- This can be mathematically represented as: F1 x d1 + F3 x d3 = F2 x d2.
Problem-Solving using Principle of Moment
- A 6m long seesaw is pivoted at its center, and a child with a weight of 200N sits at one end.
- To balance the seesaw, the friend with a weight of 300N should sit at a distance from the pivot point that satisfies the principle of moment.
- Mathematically, this can be represented as: 300 x d1 = 200 x 3, where d1 is the distance from the pivot point.
- Solving for d1, we get d1 = 2m, which is the distance from the pivot point where the friend should sit to balance the seesaw.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Learn about the principle of moment, which states that the total counter-clockwise moment equals the total clockwise moment in a system in equilibrium. Examples of beam balance and see-saw are provided.
