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is unstretched when 8 = 0°. Find the spring constant required for equilibrium at an angle 0 = 25° if mg = 50 kg, mp = 25 kg, and L = 1.5 m. Assume that the masses of the bars are negligible. The spring in Fig. A D. mp

is unstretched when 8 = 0°. Find the spring constant required for equilibrium at an angle 0 = 25° if mg = 50 kg, mp = 25 kg, and L = 1.5 m. Assume that the masses of the bars are negligible. The spring in Fig. A D. mp

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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is unstretched when 8 = 0°. Find the spring constant required for equilibrium at an angle 0 = 25° if mg = 50 kg, mp = 25 kg, and L = 1.5 m. Assume that the masses of the bars are negligible. The spring in Fig. A D. mp
Transcribed Image Text:is unstretched when 8 = 0°. Find the spring constant required for equilibrium at an angle 0 = 25° if mg = 50 kg, mp = 25 kg, and L = 1.5 m. Assume that the masses of the bars are negligible. The spring in Fig. A D. mp
Expert Solution
Step 1

Given Information

Weight of the uniform bar, W=30 lb

Length of the bar AB, L=3 ft

Spring is unstretched when, θ=0o

Draw free body of the system

Civil Engineering homework question answer, step 1, image 1

Step 2

The expression for unstretched length of the spring

Lu=Lcosθ

The expression for stretched length of the spring

s=Ls-Lus=L-Lcosθs=L1-cosθ

The expression for potential energy is given as

Ve=12ks2

Substitute the value in above expression

Ve=12kL1-cosθ2Ve=12kL21-cosθ2

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