Final answer:
Shear modulus is calculated using the force applied parallel to the cross-sectional area of the object, the initial length, and the displacement caused by the force. Using the provided equation and values, one can compute the shear modulus. The absolute value of shear requires the correct shear diagram of a beam.
Step-by-step explanation:
To determine the shear modulus, we use the given information and apply the equation:
S = ∅(F ∥ Lo) / (A ∥ ∅x)
In this case, we find the shear modulus by taking the tangential force (F∥) applied to the object, the initial length (Lo), the cross-sectional area (A), and the displacement caused by the force (∅x).
Using the given values, we have:
F∥ = 50.0 N
Lo = 180.0 cm
A = 2700.0 cm²
∅x = 15.0 cm
Substituting these values into the shear modulus equation gives us:
S = (50.0 N × 180.0 cm) / (2700.0 cm² × 15.0 cm)
The result will give the shear modulus in N/cm².
To find the absolute value of the shear, we need the correct shear diagram, which typically represents shear force as a function of position along the beam's length.