What exactly is limiting frictional force?

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The discussion centers on the concept of limiting frictional force and its applicability to a body moving at constant velocity on a rough surface. It clarifies that limiting friction refers to static friction, which is the force required to initiate motion, while kinetic friction applies once the object is already moving. The participants argue that using the term "limiting force" in the context of deceleration when the driving force is removed is incorrect, as it conflates static and kinetic friction concepts. They emphasize that deceleration should be calculated using the actual kinetic friction force rather than a limiting value. Overall, the conversation highlights the importance of distinguishing between static and kinetic friction in analyzing motion.
Lightning0145
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Given that a body is moving with a constant velocity on a rough surface. Is it possible to say that if the force (which keeps the body moving with a constant velocity) is withdrawn then the rate at which it will decelerate = limiting frictional force / mass of the body? {Force = m * a}.
Thank you.
 
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When an object is sliding across a stationary surface, friction will act to slow the object down.
Lightning0145 said:
Summary: Can I say that deceleration = limiting frictional force / mass

Given that a body is moving with a constant velocity on a rough surface. Is it possible to say that if the force (which keeps the body moving with a constant velocity) is withdrawn then the rate at which it will decelerate = limiting frictional force / mass of the body? {Force = m * a}.
Thank you.
The phrase "limiting frictional force" would be applicable to static friction. It denotes how much force it takes to "break loose" or "start skidding". Apply less force than this and a box that is at rest on the floor will not move. Apply more force than this and it will start moving.

Since you have a body that is moving, you are dealing with kinetic friction. With kinetic friction, there is just a "force of friction", not a "limiting force of friction".
 
In between static and kinetic friction there is stick-slip motion that you should know about.
 
Lightning0145 said:
Summary: Can I say that deceleration = limiting frictional force / mass

Given that a body is moving with a constant velocity on a rough surface. Is it possible to say that if the force (which keeps the body moving with a constant velocity) is withdrawn then the rate at which it will decelerate = limiting frictional force / mass of the body? {Force = m * a}.
Thank you.
I would say that you are trying to use the term "limiting force" out of context. The limiting friction force is the value of an increasing force that finally causes static friction to unstick. You seem to be discussing what happens as a force is increased until motion stops and I don't think that is what the term describes. That situation cannot be described as tightly because energy is transferred to a temperature change and the time involved would affect the situation. It's not a 'good' experiment, imo. You can get negative acceleration when any force is applied.
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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