The cable segment attached to the spring is at an angle of ? = 10.0 ? from the g

Question

The cable segment attached to the spring is at an angle of ?=10.0?from the ground. The spring has a spring constant of k=14.0 kN/m. The pulley is attached to the ceiling by rod BD that forms an angle ?=50.0?with the ceiling. The hanging mass causes a tension of 4270 Nin rod BD. What is the displacement of the spring?

Diagram: http://session.masteringengineering.com/problemAsset/1509781/17/MEng_SD_3-2_img1.jpg

The cable segment attached to the spring is at an angle of ?=10.0? from the ground. The spring has a spring constant of k=14.0 kN/m . The pulley is attached to the ceiling by rod BD that forms an angle ?=50.0? with the ceiling. The hanging mass causes a tension of 4270 N in rod BD. What is the displacement of the spring?

Explanation / Answer

m g = k x

==> x = m g/k = 4270/14000 = 0.305 m

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