A uniform light beam XZ is Hinged at X and kept in equilibrium by the forces T and F as shown in the diagram above. if XO = 20cm and OY = 30cm, express T in terms of F
Attached Figure / Diagram
A
T =2√3/3
B
T= 2F
C
T = 5V3F/3
D
T = 5F
Verified Correct Answer: D.
Physical Principles & Numerical Solution
Resolve T vertically and take a moment about x
T sin30º x 20 = 50 x F
T x 0.5 x 20 = 50F
T x 10 = 50F
T = \(\frac{50F}{10}\) = 5F
Source: Myschool Past Questions Archive (Record #41736)