a particle, A of weight W, is suspended by two strings AB and AC. AB is inclined at 30 degrees to the vertical and AC at an angle theta to the vertical.

Question

a particle, A of weight  W, is suspended by two strings AB and AC. AB is inclined at 30 degrees to the vertical and AC at an angle theta to the vertical.

The tensions in AB and AC are 40N and 60N respectively.

Calculate the values of w and the angle.

Henry · Answer

W = -(40*Cos30+60*Cos(theta)). -40*sin30 + 60*sin(theta) = 0. 60*sin(theta) = 40*sln30, sin(theta) = 2/3 * sin30 = 0.3333, theta = 19.5o W = -(40*Cos30+60*Cos19.5) = -91.2 N.