Final answer:
The normal and shearing stresses on an object are determined by using the force applied, the deformation, the initial length, and the cross-sectional area. The shear stress is calculated with τ = F / A, while the shear strain is γ = Ax / Lo. Shear modulus is found through S = τ / γ using the provided data.
Step-by-step explanation:
To determine the normal and shearing stresses on an object, information such as the magnitude of the force applied (F), the original length before deformation (Lo), the shear deformation (Ax), and the cross-sectional area (A) is needed. Shear stress (τ) can be found using the equation τ = F / A, where F is the force applied parallel to the cross-sectional area A. The shear strain (γ) is the deformation per unit length, calculated as γ = Ax / Lo.
If we know the shear modulus (S) of the material, which is the ratio of shear stress to shear strain, we can find it using the formula S = τ / γ.
Given the provided values, F|| = 50.0 N, Ax = 15.0 cm, Lo = 180.0 cm, and A = 2700.0 cm², we can calculate the shear stress and shear modulus.
The normal stress, which is perpendicular to the cross-sectional area, is not calculable with the given data, as it requires different information such as the perpendicular force component.