M1 Question.

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.

Reply 1

Christophicus

18

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!

Reply 2

Slice'N'Dice

OP

2

Hehe

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

M1 Question.

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