# physics

A 54.0 kg person takes a nap in a (lightweight) backyard hammock. Both ropes supporting the hammock are at an angle of 16.9° above the horizontal. Find the tension in the ropes.

1. 👍 0
2. 👎 0
3. 👁 316
1. 2Tsin16.9=mg=0
2Tsin16.9=mg
T=mg/2sin16.9
T=54(9.8)/2sin16.9
T=529.2/sin16.9
T=529.2/.581
T=912

1. 👍 0
2. 👎 0
2. 2Tcos16.9=W,
but W=mg=54x9.8=529.2N,
T=W/2c0s16.9
T on each cord is to be 276.54N

1. 👍 0
2. 👎 0
3. both above wrong...!!!!

1. 👍 0
2. 👎 0
4. M*g = 54 * 9.8 = 529.2 N. = Wt. of the person.

Eq1: T1*Cos16.9 = -T2*Cos(180-16.9).
0.957T1 = 0.957T2.
T1 = T2.

Eq2: T1*sin16.9 + T2*sin(180-16.9) = -529.2[270o].
0.291T1 + 0.291T2 = 529.2.
Replace T1 with T2:
0.291T2 + 0.291T2 = 529.2
0.581T2 = 529.2
T2 = 910 N. = T1.

1. 👍 1
2. 👎 0

## Similar Questions

1. ### 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

2. ### 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

3. ### 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

4. ### Physics

A 50.0-kg person takes a nap in a backyard hammock. Both ropes supporting the hammock are at an angle of 15.0degrees above the horizontal. Find the tention of the ropes.

1. ### Trigonometry

Steve and Peggy want to rent a 40 ft x 20 ft tent for their backyard to host a barbecue. The base of the tent is supported 7 ft above the ground by poles and the roped stakes are used for support. The ropes make a 60 degree angle

2. ### PHYSICS

The three ropes in the figure are tied to a small, very light ring. Two of the ropes are anchored to walls at right angles, and the third rope pulls as shown, with T3 = 90 N and θ = 35°. What are T1 and T2, the magnitudes of the

3. ### Physics

Calculate the tension in the two ropes if the person is motionless. Person weighs 76kg and 15 degree angle rope one and 10 degree angle rope 2

4. ### Physics Prob.

A 22.0 kg child plays on a swing having support ropes that are 2.00 m long. A friend pulls her back until the ropes are 45.0 ∘ from the vertical and releases her from rest. What is the potential energy for the child just as she

1. ### Math

At the​ airport, Person A and Person B are walking at the same speed to catch their​ flight, but Person B decides to step onto the moving​ sidewalk, while Person A continues to walk on the stationary sidewalk. If the

2. ### math

A Drunk Person at the Theater There are 𝑛 people in line, indexed by 𝑖=1,…,𝑛, to enter a theater with 𝑛 seats one by one. However, the first person (𝑖=1) in the line is drunk. This person has lost her ticket and

3. ### area

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?

4. ### math

Steve and Peggy want to rent a 40 foot by 25 foot tent for their backyard to host a barbecue. The base of the tent is supported 7 feet above the ground by poles and then roped stakes are used for support. The ropes make a 60