Maths Mechanics M1 HELP!

[nehaoscar]

Please look at the question attached below.

For part one, you can find X by resolving horizontally so 40cos60=xcos30
My question is, why can you not get the correct answer by resolving vertically?

The body is in equilibrium, so shouldn't all (vertical and horizontal) components result to zero?
In this case, the vertical components do not result to zero... why not?
Please help

 

[Komail Sabba']

Which year is it?
Btw, horizontal components are not as you stated. They are -> 40Cos60 = XCos30, not XSin30

 

[nehaoscar]

Which year is it?
Btw, horizontal components are not as you stated. They are -> 40Cos60 = XCos30, not XSin30

Oh yes sorry, I've corrected that now
And the paper is from winter 2014.

 

[TheJDOG]

You cannot get the correct answer from resolving vertically because there's also the normal contact force R which you don't know

 

[TheJDOG]

I) R(->) resolve horizontally 40cos60= xcos30
X= 23.1 N

II) R(->) resolve horizontally xcos30= 40cos60 + 10
New X = 34.64 N
R(^) Resolve vertically 40sin60 + 34.64sin30 + R = 150 Weight is 150
R= 98.01
But f= uR
10 = u x 98.01
u = 0.102

 

[nehaoscar]

https://www.xtremepapers.com/community/threads/maths-mechanics-m1-help.40821/
Please help!