CALCULUS

a man weighiing 7-kg lies in a hammock whose ropes make angles of 20 and 25 degrees with the horizontal. What is the tension in each rope?

  1. 👍
  2. 👎
  3. 👁
  1. the horizontal components are equal in magnitude or the guy would accelerate.
    A cos 20 = B cos 25
    .940 A = .906 B
    A = .964 B

    A sin 20 + B sin 25 = 7*9.8
    .964 B (.342) + B (.423) = 68.6

    I think you can solve for B and go back and get A

    1. 👍
    2. 👎
  2. Rofl, I think you're in my calculus class. I have the same question for homework too.

    I'm not sure if you're solving the problem using geometric or catersian vectors.

    It's always best to draw out the problem. . .

    Assuming you meant 70kg instead of 7kg. . .

    I'll do this problem using geometric vectors.

    You have a triangle with the following angles: 65, 45 and 70.

    70 corresponds with |T1| (Tension 1)
    65 corresponds with |T2| (Tension 2)
    45 corresponds with 686 N (9.8 x 70)

    Use sine law to solve for the tensions.

    |T1|/sin70 = 686/sin45
    |T1| = 911.6 N

    |T2|/sin65 = 686/sin45
    |T2| = 879.3 N

    Therefore, the tensions are 911.6 N and 879.3 N

    1. 👍
    2. 👎
  3. thx, i just have problems drawing the diagrams

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A) A 600 kg steel beam is supported by the two ropes shown in (Figure 1). Calculate the tension in the rope. Express your answer to two significant figures and include the appropriate units. B) The rope can support a maximum

  2. Math

    A 90 N boy is hanging on a rope that extends between two poles. Find the tension of the 2 ropes. The angles were 5 and 10 degrees

  3. Math/Physics

    A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoist weighs 340 N. The ropes, fastened at different heights, make angles of 50° and 38° with the horizontal. Find the tension in

  4. Physics

    An 800N billboard worker stands on a 4m scaffold weighing 500N and supported by vertical ropes at each end. How far would the worker stand from one of the supporting ropes to produce a tension of 550N in that rope?

  1. Math

    When two parallel lines are intersected by a transversal, which pair of angles are always supplementary? Select all that apply. A. corresponding angles B. vertical angles C. same-side interior angles D. alternate interior angles

  2. Math

    in a 6 side polygon, the first two angles are equal. , the third angle is twice the equal angles, two other angles are thrice the equal angles, while the last angles is a right angles, find the value of each angles

  3. Physics

    A 40.0kg child is in a swing that is attached to ropes 2.00m long. Find the gravitational potential energy associated with the child relative to the child's lowest position under the following conditions: a) When the ropes are

  4. Physics

    Bethany, who weighs 420N, lies in a hammock suspended by two ropes tied to two trees. The left rope makes an angle of 45 degrees with the ground, the right one makes an angle of 30 degrees. Find the tension of the left rope. Find

  1. vectors

    A man weighing 70 kg lies in a hammock whose ropes make angles of 20º and 25º with the horizontal. What is the tension in each rope? how do you get the following angles for the diagram? 70 corresponds with |T1| (Tension 1) 65

  2. Physics

    A father pulls his son, whose mass is 26.7 kg and who is sitting on a swing with ropes of length 3.27 m, backward until the ropes make an angle of 35.6° with respect to the vertical. He then releases his son from rest. What is

  3. Physics

    A man of mass 75 kg lies on a bed of 10,000 nails. The tip of each nail has an area of 1.0 square millimeter. What pressure does the man experience? [g=10 N/kg]

  4. Math

    A transversal intersects two lines. Which conditions would always make the two lines parallel? A) Vertical Angles are Congruent B) Alternate interior angles are congruent C) Corresponding angles are supplementary D) Same-side

You can view more similar questions or ask a new question.