You are Here: Home >< Maths

# M1 Question. watch

Announcements
1. Bah. I forget how to do these.

1.) A particle of weight W newtons is attached at C to the ends of 2 light inextensible strings AC & BC. The other ends of the strings are attached to two fixed points A & B on a horizontal ceiling. The particle hangs in equilibrium with AC & BC inclined to the horizontal at 30º and 60º respectively as shown below. Given that the tension in AC is 50N, calculate,

a.) the tension in BC to 3 sig fig.

b.) the value of W.

Many thanks.
2. (Original post by Slice'N'Dice)
Bah. I forget how to do these.

1.) A particle of weight W newtons is attached at C to the ends of 2 light inextensible strings AC & BC. The other ends of the strings are attached to two fixed points A & B on a horizontal ceiling. The particle hangs in equilibrium with AC & BC inclined to the horizontal at 30º and 60º respectively as shown below. Given that the tension in AC is 50N, calculate,

a.) the tension in BC to 3 sig fig.

b.) the value of W.

Many thanks.
1)a
Resolve forces horizontally as W is unknown.
Tcos60 - 50cos30 = 0
T = (50cos30)/cos60 = 86.6N

1)b
Resolve forces vertically
50sin30 + 86.603sin60 = W
W = 100N

P.S Love the avatar!
3. Hehe

Thanks for the help WM. I was resolving the wrong way!

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: January 5, 2005
Today on TSR

10 instant mood-lifters

### University open days

• University of the Arts London
MA Performance Design and Practice Open Day Postgraduate
Thu, 24 Jan '19
• Brunel University London
Sat, 26 Jan '19
• SOAS University of London
Sat, 26 Jan '19
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams