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

Let tension in the rope be 500N
And force due to spring = kx = k/2
Now applying torque balance on the system
k*.13/2 = 500*0.06
k = 461.538 N/m

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.