A lightweight, rigid beam 10.0 m long is supported by a cable attached to a spring of force constant k = 7.10 kN/m as shown in the figure below. When no load is hung on the beam (Fg = 0), the length L is equal to 5.00 m.
A lightweight, rigid beam 10.0 m long is supported by a cable attached to a spring of force constant k = 7.10 kN/m as shown in the figure below. When no load is hung on the beam (Fg = 0), the length L is equal to 5.00 m.
(a) Find the angle ? in this situation.
°
(b) Now a load of Fg = 295 N is hung on the end of the beam. Temporarily ignore the extension of the spring and the change in the angle ?. Calculate the tension in the cable with this approximation.
N
(c) Use the answer to part (b) to calculate the spring elongation (ℓ) and a new value for the angle ?.
| ℓ = | m |
| ? = | ° |
(d) With the value of ? from part (c), find a second approximation for the tension in the cable.
N
(e) Use the answer to part (d) to calculate more precise values for the spring elongation (ℓ) and the angle ?.
| ℓ = | m |
| ? = | ° |
(f) To three-digit precision, what is the actual value of ? under load?
°
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