Distance and time required to stop a sliding unit?

In summary, the weight of the sliding unit has a direct impact on the distance and time required to stop, as a heavier unit will require more distance and time to come to a complete stop. The friction coefficient, which measures the surface's resistance to sliding, has an inverse relationship with the distance and time required to stop, as a higher coefficient will result in a shorter stopping distance and time. The initial speed of the sliding unit also has a direct impact, as a higher speed will result in a longer stopping distance and more time required to stop. The surface material also plays a significant role, with rougher surfaces requiring a shorter stopping distance and less time to stop compared to smoother surfaces. Finally, the angle of incline affects the stopping distance
  • #1
ryansteel
1
0
A very heavy unit sitting on a plane at 1degree angle... i checked that with friction only the unit will stop sliding

Vi = initial Velocity is 10m/hr
Vf = Final velocity is 0 (as it has stopped)
the question is hom much distance will it cover until stopping completely and how long will it take to stop.

Can anyone suggest a Software to model this?!?

thnx
 
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  • #2
Any good differential equation slover should do the job.
 
  • #3


I can provide a response to your question. The distance and time required to stop a sliding unit will depend on a few factors such as the weight of the unit, the angle of the plane, and the amount of friction present. In this scenario, assuming a constant friction force, we can use the equations of motion to calculate the distance and time.

First, we can calculate the acceleration of the unit using the formula a = F/m, where F is the friction force and m is the mass of the unit. Once we have the acceleration, we can use the equation v = u + at to find the time it takes for the unit to stop. Here, u is the initial velocity (10 m/hr) and v is the final velocity (0 m/hr).

To calculate the distance covered, we can use the equation s = ut + 1/2at^2, where s is the distance, u is the initial velocity, a is the acceleration, and t is the time.

As for a software to model this scenario, there are various simulation software programs available such as MATLAB, Simulink, and ANSYS that can help you model and analyze the motion of the sliding unit. These software programs use mathematical models and equations to simulate real-world scenarios and provide accurate results. I would suggest researching and exploring these software options to find the one that best suits your needs.

I hope this response helps answer your question. Let me know if you have any further inquiries.
 

FAQ: Distance and time required to stop a sliding unit?

1. How does the weight of the sliding unit affect the distance and time required to stop?

The weight of the sliding unit directly affects the distance and time required to stop. A heavier unit will require a longer distance and more time to come to a complete stop due to its increased inertia.

2. What is the relationship between the friction coefficient and the distance and time required to stop?

The friction coefficient, which is a measure of the surface's resistance to sliding, has an inverse relationship with the distance and time required to stop. A higher friction coefficient will result in a shorter stopping distance and time.

3. How does the initial speed of the sliding unit affect the distance and time required to stop?

The initial speed of the sliding unit has a direct impact on the distance and time required to stop. A higher initial speed will result in a longer stopping distance and more time required to come to a complete stop.

4. What role does the surface material play in the distance and time required to stop a sliding unit?

The surface material has a significant impact on the distance and time required to stop a sliding unit. Rougher surfaces with higher friction coefficients will require a shorter stopping distance and less time to stop compared to smoother surfaces with lower friction coefficients.

5. How does the angle of the incline affect the distance and time required to stop a sliding unit?

The angle of the incline also plays a role in the distance and time required to stop a sliding unit. A steeper incline will result in a faster acceleration and therefore, a longer stopping distance and more time required to stop.

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