A 4 cm cube has its upper face displaced by 0.1 mm by a tangential force of 8 kN. Calculate the shear modulus of the cube.

Explanation

To calculate the shear modulus of the cube, we can follow these steps:

### Step 1: Identify the dimensions of the cube and convert units
The side length of the cube is given as 4 cm. We need to convert this to meters for standard SI units, but since we will be working with dyne and cm², we can keep it in cm.

### Step 2: Calculate the area of the face
The area \( A \) of the face of the cube over which the force is applied can be calculated using the formula:
\[
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