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Damping force on a spring mass system is proportional to which of the following quantities?
- a)Velocity
- b)Acceleration
- c)Displacement from mean position
- d)(velocity)2
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Damping force on a spring mass system is proportional to which of the ...
Damping force on a spring mass system is proportional to velocity.
Explanation:
When a mass is attached to a spring, it follows simple harmonic motion. In a spring-mass system, damping refers to the force that opposes the motion of the mass and reduces its amplitude over time. This damping force is caused by factors such as friction or air resistance.
The damping force is given by the equation:
F_damping = -b * v
Where:
F_damping is the damping force
b is the damping coefficient (a constant determined by the system)
v is the velocity of the mass
The negative sign indicates that the damping force is always opposite in direction to the velocity, therefore opposing the motion of the mass.
Reasoning:
- Damping force is directly proportional to velocity. As the velocity increases, the damping force increases, and as the velocity decreases, the damping force decreases.
- The damping force is not directly affected by acceleration or displacement from the mean position. Acceleration is the rate of change of velocity, so it is not directly related to the magnitude of velocity itself. Displacement from the mean position is a measure of the position of the mass relative to its equilibrium position, but it does not directly affect the damping force.
Therefore, the correct answer is option 'A' - Velocity. The damping force on a spring mass system is proportional to the velocity of the mass.
Explanation:
When a mass is attached to a spring, it follows simple harmonic motion. In a spring-mass system, damping refers to the force that opposes the motion of the mass and reduces its amplitude over time. This damping force is caused by factors such as friction or air resistance.
The damping force is given by the equation:
F_damping = -b * v
Where:
F_damping is the damping force
b is the damping coefficient (a constant determined by the system)
v is the velocity of the mass
The negative sign indicates that the damping force is always opposite in direction to the velocity, therefore opposing the motion of the mass.
Reasoning:
- Damping force is directly proportional to velocity. As the velocity increases, the damping force increases, and as the velocity decreases, the damping force decreases.
- The damping force is not directly affected by acceleration or displacement from the mean position. Acceleration is the rate of change of velocity, so it is not directly related to the magnitude of velocity itself. Displacement from the mean position is a measure of the position of the mass relative to its equilibrium position, but it does not directly affect the damping force.
Therefore, the correct answer is option 'A' - Velocity. The damping force on a spring mass system is proportional to the velocity of the mass.
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Community Answer
Damping force on a spring mass system is proportional to which of the ...
We know from Stoke’s law that damping force is proportional to velocity of a body. It also depends on the surface area in contact with the source of particles causing damping, like air.
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Damping force on a spring mass system is proportional to which of the following quantities?a)Velocityb)Accelerationc)Displacement from mean positiond)(velocity)2Correct answer is option 'A'. Can you explain this answer?
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