Post a New Question

Physics

posted by .

A sign weighing 10N hangs from two ropes. Each rope is 45 degrees from the horizontal.
1. What is the tension in each rope?

  • Physics -

    Let T be the rope tension force in each. They are the same in each rope, due to symmetry.
    2 T cos45 = 10 N (vertical equilibrium)
    T = 10N * sqrt2 = 14.14 N

  • Physics -

    T1*sin(180-45) + T2*sin45 = -10*sin270.
    0.707T1 + 0.707T2 = 10.
    T1 = T2.
    0.707T1 + 0.707T1 = 10.
    1.414T1 = 10.
    T1 = 7.07 N. = T2.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Given a wooden sign that is held up by two ropes. One rope at a 37.0 degrees to the horizontal has a tension of 2.00N and the other at an angle of 153.5 degrees to the horizontal feels a tension of 1.785N. How much does the sign weight?
  2. Physics

    A ball weighing 50N is pulled back by a rope to an angle of 20 degrees (the rope that the ball hangs from). Find the tension in the pulling rope.
  3. physics

    A 800 kg steel beam is supported by two ropes. Each rope has a maximum sustained tension of 6600 N. One of the ropes is 20 degrees left of the horizontal(normal) while the other rope is 30 right of the horizontal(normal). What is the …
  4. physics

    The figure shows two 1.00kg blocks connected by a rope. A second rope hangs beneath the lower block. Both ropes have a mass of 250g . The entire assembly is accelerated upward at 3.00m/s2 by force F. What is F?
  5. physics

    A basket weighing 0.3kg is suspended from two ropes which are tied to a horizontal beam. The rope on the left is at an angle of 63° and the rope on the right is at an angle of 32° with respect to the beam. What mass of rocks could …
  6. PHYSICS

    a 100kg street light is supported equally by two ropes. one rope pulls up and to the right 40 degrees above the horizontal; the other pulls up and to the left 40 degrees . what is the tension of the rope?
  7. physics

    A 115-N sign is supported by two ropes. One rope pulls up and to the right 26.5° above the horizontal with a tension T1, and the other rope pulls up and to the left 48.5° above the horizontal with a tension T2, as shown in the figure. …
  8. Physics

    The ends of a rope are tied to two hooks on a ceiling. A set of books weighing 36.0 N is tied and hung on the rope so that the segments of the rope make angles of 35 degrees and 50 degrees respectively with the horizontal. Compute …
  9. science

    A 155-N sign is supported by two ropes. One rope pulls up and to the right 26.5° above the horizontal with a tension T1, and the other rope pulls up and to the left 49.5° above the horizontal with a tension T2, as shown in the figure. …
  10. ap physics

    a rope is strung between two cliffs. A mountain climber weighing 100 kg is halfway across the rope when the rope forms an angle of 45 degrees with the horizontal. The tension in the rope is closest to what value?

More Similar Questions

Post a New Question