Shown below is a wheel with radius R = .13m suspended off the ground. Attempts t

Question

Shown below is a wheel with radius R = .13m suspended off the ground. Attempts to turn the wheel clockwise are prevented by a rope which is tied to the ground and to a point on the wheel. This rope has a maximum tension of 500N and will break under any more tension. I’m going to try and break that rope and spin the wheel by using a spring that I’ve attached to the side of the wheel. The unstretched spring is .1 m long. After pulling the loose edge of the spring straight down .5m the rope breaks and the wheel begins to rotate. What was the spring constant of the spring?

Explanation / Answer

k= mg/x and if so the answer is k=500/(0.1+0.13+.06) cm

k= 1724.14 N/m

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