corinltm
contestada

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. 13.7Âș
B. 24.3Âș
C. 43.9Âș
D. 45.4Âș
E. 49.2Âș

A photo frame weighing 416 newtons is hanging by a wire making an angle with the horizontal The tension experienced by both wires is 3 newtons What angle is mad class=

Respuesta :

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 ξ = T₂ cos ξ  

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

2 T sin Ξ = W

2 × 3 N × sin ξ = 4.16 N

sin Ξ = 0.693

⇒ Ξ = sin ⁻Âč(0.693)  = 43.9°

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

Ver imagen ariston

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

good job