What Angle Should an Incline Be for Zero Acceleration with Friction?

AI Thread Summary
To achieve zero acceleration for the pod on an incline, the angle must be determined where the forces of gravity and friction are balanced. The coefficient of friction is given as 0.17, leading to the equation tan(theta) = 0.17 to find the necessary incline angle. If the incline is set at 3 degrees, the final velocity can be calculated using the initial conditions provided, including mass and distance. The discussion highlights the importance of understanding the balance of forces acting on the block, including gravity and friction. The user expresses frustration but receives clarification on the relationship between these forces and the incline angle.
quirty1
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Homework Statement


The question asks, At what angle would the straight need to be inclined at in order for the acceleration of the pod from B to C to be 0m/s^2?
and if the straight was inclined at 3 degrees calculate the final velocity
the coefficient of friction is 0.17 the mass is 6000kg the distance is 172m

Homework Equations


i think my teacher said to use M (coefficient of friction) = tan (theta)
but i have no idea how to do this :s any help will be greatly appreciated !

The Attempt at a Solution


I'm really not sure about any of this at the moment, but if you could point me in the right direction that would be great.

thanks.

edit:
sorry if I'm sounding impatient, but if anyone knows the slightest thing of this could you please lend a helping hand, that would be much appreciated.. this thing is driving me insane lol - if you have a formula i could use or anything :s, if you need more information i probably have it
 
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quirty1 said:

Homework Statement


The question asks, At what angle would the straight need to be inclined at in order for the acceleration of the pod from B to C to be 0m/s^2?
and if the straight was inclined at 3 degrees calculate the final velocity
the coefficient of friction is 0.17 the mass is 6000kg the distance is 172m

Homework Equations


i think my teacher said to use M (coefficient of friction) = tan (theta)
but i have no idea how to do this :s any help will be greatly appreciated !

The Attempt at a Solution


I'm really not sure about any of this at the moment, but if you could point me in the right direction that would be great.

thanks.

edit:
sorry if I'm sounding impatient, but if anyone knows the slightest thing of this could you please lend a helping hand, that would be much appreciated.. this thing is driving me insane lol - if you have a formula i could use or anything :s, if you need more information i probably have it
Welcome to Physics Forums.

Could you perhaps provide a diagram, the situation is somewhat unclear?
 
Thanks for your reply!

eisbie.jpg


there is a image, it's basically a mass traveling down a triangle, i need to find theta/the angle of incline for the mass acceleration to be 0m/s^2
edit: that thing it's traveling down is 172m long
 
Thanks for providing the image.

If the block is not accelerating, what can you say about the sum of the forces acting on the block?
 
well the only forces acting on the block i would imagine would be gravity+friction?

edit: oh i might have forgotten to mention, the block has already accelerated pretty fast by some magnets.. (4.7gs i calculated) then it's just moving by itself from there on. It's initial velocity is 50.9m/s which i calculated to be 183.24km/h
 
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quirty1 said:
well the only forces acting on the block i would imagine would be gravity+friction?
That is indeed correct. If the block is not accelerating, what can you say about the sum of these two forces?
 
AH! i get it now... thanks mate, i think that the 2 forces have to be equal, then the tan(theta) of the incline must be my coefficient of friction !
 
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