Mechanics Question Answer Checking

taylorswift

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May 9, 2021
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I have done this question, for a I got 30 and b I got 0 amd 2/3 but for part c I have found 2 answers, 1/13 or 0.754..., which (if any) is the correct answer? TIA


A package P of weight 20 N is moving up an inclined plane under the action of a horizontal force of magnitude 30 N, as shown in Figure 3. The force is acting in a vertical plane through a line of greatest slope of the plane. The coefficient of friction between P and the plane is μ.
The plane is inclined at angle α to the horizontal, where tan α = 5 / 12
Package P is modelled as a particle.
(a) Find the magnitude of the normal reaction of the plane on P.
(2) (4)
(5) (Total for Question 4 is 11 marks)
(b) Find the range of possible values of μ.
The horizontal force is now removed and P continues to slide up the plane until P comes to
instantaneous rest. Package P then slides back down the plane. Given that μ = 1/3 ,
(c) find the acceleration of P as it slides down the plane.
 
I have done this question, for a I got 30 and b I got 0 amd 2/3 but for part c I have found 2 answers, 1/13 or 0.754..., which (if any) is the correct answer? TIA


A package P of weight 20 N is moving up an inclined plane under the action of a horizontal force of magnitude 30 N, as shown in Figure 3. The force is acting in a vertical plane through a line of greatest slope of the plane. The coefficient of friction between P and the plane is μ.
The plane is inclined at angle α to the horizontal, where tan α = 5 / 12
Package P is modelled as a particle.
(a) Find the magnitude of the normal reaction of the plane on P.
(2) (4)
(5) (Total for Question 4 is 11 marks)
(b) Find the range of possible values of μ.
The horizontal force is now removed and P continues to slide up the plane until P comes to
instantaneous rest. Package P then slides back down the plane. Given that μ = 1/3 ,
(c) find the acceleration of P as it slides down the plane.
for part c I have found 2 answers, 1/13 or 0.754...,
How did you calculate those numbers?

Please share your work.
 
Remember the mass of the block is [MATH]\frac{20}{g}[/MATH]That should help you choose between your answers for (c).
 
I have redone the working. I think this is right. Thanks everyone
 

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