Final answer:
To solve for the unknown forces, use Newton's laws and the free-body diagram. Calculate the applied force using the tension in the wire and the angle. The calculated value should match or exceed the observed force.
Step-by-step explanation:
To solve for the unknown forces, we can use Newton's laws of motion and the free-body diagram of the system. From the information given, we can determine the applied force (Fapp) by using the equation Fapp = 2Tsinθ, where T is the tension in the wire and θ is the angle between the handle and the wire. The calculated value of Fapp should be equal to or greater than the observed force on the tooth.