_{y}= 2Tsin(30) -W = 0

Find the tension in the clothesline in terms of W.

Tutors, sign in to answer this question.

Marked as Best Answer

In this problem, the center of the clothesline is a point in equilibrium, i.e., the sum of all forces equals zero. There are two tension forces of the same magnitude T directed at 30° above the horizontal pointing left and right from the center, as well as the weight W pointing straight down. The vertical or y-component of either tension force is the opposite side in a right triangle whose hypotenuse is T and is therefore given by T sin(30). Then the sum of the forces in the vertical direction equals zero:

∑ F_{y} = 2Tsin(30) -W = 0

Since 2 sin(30) = 2 (1/2) = 1, we have

T-W=0, or T=W.

The tension in the clothesline equals the weight.

The weight is not given as a value. It is merely labeled as "W".

Antoine D. | Experienced and Motivated Science TutorExperienced and Motivated Science Tutor

do you mean 30 degree angles?

i am assuming the clothesline is shaped like a triangle. you divide the triangle in half with a line thru it and now you have 2 right triangles ( 30-60-90). there are two hypotenuses and their tension is found by W/sin30deg. Since there are two hypotenuses, it should be 2 times W/sin30deg; since the tension it supported by the two sides of the clothesline.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Philip W.

Dedicated, experienced and knowledgeable MATH and PHYSICS tutor

$12.50 per 15 min

View Profile >

Skyler H.

Specialized Techniques in Physics and Chemistry

$11.25 per 15 min

View Profile >

Joseph B.

Texas Certified Math and Science Teacher

$15 per 15 min

View Profile >

## Comments