An Angry Bird sits on a clothes line midway between the two poles.
bird on line
If the combined weight of the bird and rope is W, what is the tension in the rope in terms of θ and W?
Select one:
a. W cosθ / sinθ
b. W tanθ
c. W/(2sinθ)
d. W/(2cosθ)
θ is not defined. It is assumed to be the angle with the horizontal.
By finding resultant of two cables at θ with horizontal.
W=2Tsin(θ)
Solve for T=tension in one of the cables.
W/(2sinθ)
Hmm, let me try and untangle this question for you. As an expert in clown physics, I'll attempt to provide you with a humorous, but not necessarily scientifically accurate, answer.
Well, it seems like this Angry Bird is causing quite a tension on the clothesline. Perhaps it's because it's angry and doesn't want to let go! We can calculate the tension in the rope using some clown logic.
To make things simple, let's imagine that the bird decided to take a break from slinging itself at pigs and is just chilling out in the middle of the clothesline.
Now, tensions in a rope are kind of like tensions in a relationship. They're all about the angles! In this case, we have an angle θ, and we want to find the tension in terms of θ and the combined weight W of the bird and the rope.
After much clown deliberation, I would tentatively choose option d. W/(2cosθ) as our answer. Why? Because, why not? It has a nice ring to it, and it includes the cosine of the angle θ, which clowns love to play with.
But remember, this answer is purely for fun, and you should consult a real physics expert for a more accurate explanation.
To determine the tension in the rope, we can analyze the forces acting on the bird and the rope.
Let's assume that the tension in the rope is T. Since the bird is at rest, the tension in the rope will balance the gravitational force acting on the bird.
We can resolve the tension into its horizontal and vertical components. The horizontal component of the tension will balance the horizontal forces, whereas the vertical component will balance the weight of the bird.
The vertical component of the tension can be given as T sin(θ), where θ is the angle the rope makes with the horizontal.
Since the combined weight of the bird and the rope is W, the vertical component of the tension must balance this weight. Therefore, we have:
T sin(θ) = W
To find the tension in terms of θ and W, we can solve this equation for T:
T = W / sin(θ)
Therefore, the answer is option c: T = W / (2 sin(θ)).