Is that "95" a typo for "45"? If not, where did you get it?
A mass of 20kg is suspended from a ceiling by two lengths of rope that make angles of 30^o and 45^o with the ceiling. Determine the tension in each of the ropes.
i drew the triangle and found out the other angles using triangle properties and ended up with
T1/sin45=T2/sin60=196N/sin95
T1=196(sin45)/sin95=139.1 N and T2=196N(sin60)/sin95=170.3N
the book shows the answers to be 143.48N and 175.73N and i can't figure out how i went wrong
it should actually be a 75, i made a typo i was working on a couple problems at once. i drew the trangle for the problem with the angles, and added 45 and 30 to get 75^o, its hard to exaplin without my diagram present, obviously, so i am just looking for a verification of the calculations as i cannot see what i did wrong
Edit: turns out I get the book answers when I set g = 9.8. For future reference it would be an immense help if you could tell us what the book uses for g as some use 9.8, some 9.81
First of all we need to know what value of your book uses. I am using
This is a problem with resolving the forces horizontally and vertically.
Also these are common angles and the values should be known
,
Vertically
Down:
Up:
If the object is in equilibrium the resultant force is 0 and so these two are equal
(eq1)
Horizontally
Left:
Right:
Since there is no horizontal movement these forces are equal
This is equal to (eq2)
--------------------------------------------
We now have two equations and two variables
(eq1)
(eq2)
Spoiler: