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In simple models damping force is
- a)directly proportional to velocity
- b)inversely proportional to acceleration
- c)inversely proportional to velocity
- d)directly proportional to acceleration
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In simple models damping force isa)directly proportional to velocityb)...
Damping force is a resistance force that opposes the motion of an object in a medium, such as air or water. It is responsible for reducing the amplitude of oscillations or the speed of a moving object. In simple models, the damping force is directly proportional to velocity.
Explanation:
The damping force is caused by the interaction between the object and the medium it is moving through. As the object moves, it displaces the medium particles, causing them to collide and exert a resistance force on the object. This resistance force is proportional to the velocity of the object.
Mathematical Representation:
The mathematical representation of damping force can be given by the equation:
F_damping = -bv
Where F_damping is the damping force, b is the damping coefficient, and v is the velocity of the object.
Directly Proportional to Velocity:
According to the equation, the damping force is directly proportional to the velocity of the object. This means that as the velocity increases, the damping force also increases, resulting in a greater resistance to the object's motion. Conversely, if the velocity decreases, the damping force decreases as well.
Relationship with Acceleration:
Although the damping force is not directly proportional to acceleration, it does have an indirect relationship with it. Since acceleration is the rate of change of velocity, an increase in acceleration results in a greater change in velocity over time. Therefore, a larger acceleration would lead to a larger damping force, and vice versa.
Conclusion:
In simple models, the damping force is directly proportional to velocity. This relationship is important in understanding the behavior of objects in the presence of damping forces, as it helps explain the gradual decrease in amplitude or speed of oscillations or motion.
Explanation:
The damping force is caused by the interaction between the object and the medium it is moving through. As the object moves, it displaces the medium particles, causing them to collide and exert a resistance force on the object. This resistance force is proportional to the velocity of the object.
Mathematical Representation:
The mathematical representation of damping force can be given by the equation:
F_damping = -bv
Where F_damping is the damping force, b is the damping coefficient, and v is the velocity of the object.
Directly Proportional to Velocity:
According to the equation, the damping force is directly proportional to the velocity of the object. This means that as the velocity increases, the damping force also increases, resulting in a greater resistance to the object's motion. Conversely, if the velocity decreases, the damping force decreases as well.
Relationship with Acceleration:
Although the damping force is not directly proportional to acceleration, it does have an indirect relationship with it. Since acceleration is the rate of change of velocity, an increase in acceleration results in a greater change in velocity over time. Therefore, a larger acceleration would lead to a larger damping force, and vice versa.
Conclusion:
In simple models, the damping force is directly proportional to velocity. This relationship is important in understanding the behavior of objects in the presence of damping forces, as it helps explain the gradual decrease in amplitude or speed of oscillations or motion.
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In simple models damping force isa)directly proportional to velocityb)inversely proportional to accelerationc)inversely proportional to velocityd)directly proportional to accelerationCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In simple models damping force isa)directly proportional to velocityb)inversely proportional to accelerationc)inversely proportional to velocityd)directly proportional to accelerationCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In simple models damping force isa)directly proportional to velocityb)inversely proportional to accelerationc)inversely proportional to velocityd)directly proportional to accelerationCorrect answer is option 'A'. Can you explain this answer?.
In simple models damping force isa)directly proportional to velocityb)inversely proportional to accelerationc)inversely proportional to velocityd)directly proportional to accelerationCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In simple models damping force isa)directly proportional to velocityb)inversely proportional to accelerationc)inversely proportional to velocityd)directly proportional to accelerationCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In simple models damping force isa)directly proportional to velocityb)inversely proportional to accelerationc)inversely proportional to velocityd)directly proportional to accelerationCorrect answer is option 'A'. Can you explain this answer?.
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