Question

A photo frame weighing 4.16 newtons is hanging by a wire making an angle with the horizontal. The tension experienced by both wires is 3 newtons. What angle is made by both wires with the horizontal?
A. 13.7º
B. 24.3º
C. 43.9º
D. 45.4º
E. 49.2º

Answer 1

C. 43.9 on plato, got 100% on the test :)

Answer 2

Answer: option C. 43.9°

Explanation:

Refer to the diagram. The tension in the two strings is equal T₁=T₂=T = 3 N

The strings support a frame weighing, W= 4.26 N

We will write the tension in the strings as the sum of their horizontal and vertical components.

The horizontal components balance each other and cancel out.

T₁ cos θ = T₂ cos θ  

On the other hand, The vertical component would support the weight of the frame.

2 T sin θ = W

2 × 3 N × sin θ = 4.16 N

sin θ = 0.693

⇒ θ = sin ⁻¹(0.693)  = 43.9°

Hence, the angle made by two wires with the horizontal is 43.9°.