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Kaushik Ram Grade: 10
        


A worker wishes to pile a cone of sand on to a circular area in his yard. The radius of the circle is r; no sand is to spill on to the surrounding area. If μ is the static coefficient of friction between each layer of sand, show that the greatest volume of sand that can be stored in this manner is  1/3πμr3            

 



 


 






 




 

 


 






 


 





 












 



















 

















 















 













 











 









 







 





 



 


 

6 years ago

Answers : (2)

Aman Bansal
592 Points
										

 


 


N =Fgy = mgcosθ


 


f = Fgx = mg sinθ < fs max = µN=  µmgcos theta--> μ > tan theta




The surface of the cone has the greatest slope and the height of the cone is


 

maximum if :


 


 





 

 


 


 



 


μ=tan theta = h/r = rμ



Vcone = A*h /3 = piμs r3/3




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AMAN BANSAL

6 years ago
AKASH GOYAL AskiitiansExpert-IITD
419 Points
										

Dear Kaushik


See the pic for the solution


All the best.                                                           


AKASH GOYAL


AskiitiansExpert-IITD


 


Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.


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2383_23499_Photo-0154.jpg

6 years ago
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