solutions to 2001 4U HSC (1 Viewer)

[bally24]

hey guys i would love if any of you could give me the solution for q6 from the 2001 hsc im really struggling with it! its a mechanics q on banked tracks.
this is the link to the paper:

http://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2001exams/pdf_doc/mathemat_ext2_01.pdf

Thanks a lot!

 

[STx]

draw a diagram of all the forces for a start then resolve the horizontal and vertical components accordingly

 

[Riviet]

A good way to derive the expression in (ii) is multiply one of your equations by sina and the other by cosb, which allows you to eliminate Nsina.cosa and reach the required expression.

 

[bally24]

thanks thats helped a lot with i and ii, im having trouble with iii. do u let F=0 since u want there to be no friction and then solve that equation?

 

[ianc]

yes

the answer is 21 degrees (nearest degree)