Question: designing a linear spring you have a big clothespin like...
Designing a Linear Spring:
You have a big clothespin like tool holding on to a cable, where the center of it is loaded with a mass m (5 kg) as shown in the diagram.
Design a linear spring (finding k, etc...) and determine the required force to be applied to each of the both arms of the tool to prevent the tool from slipping from the cable and falling. Choose an appropriate location for the linear spring in either of the spring locations shown in the diagram and explain why one was chosen over the other if there is a reason. Make sure to calculate the distance the spring should be placed away from the pivot point.
Remembering that the holding force (Fh) will be related to the normal force generated by the clamping force and the friction coefficient of the surface of each arm (assume friction coefficient μ is 1.05). And that the holding force must be equal to or larger than the weight of the load (or m*g). Show all equations and explanations needed to design the linear spring.