Find the shear strain that results if a force of magnitude 9.00×105 is applied to the top square face of the plate, parallel to the side, and a force of equal magnitude is applied in the opposite direction to the bottom face of the plate as shown .
Note that the shear modulus of steel in pascals is 7.50×1010 .
To find the shear strain, we need to use the formula:
Shear Strain = Shear Stress / Shear Modulus
First, let's find the shear stress. Since a force is applied on the top face of the plate and an equal force in the opposite direction is applied on the bottom face, the plate experiences a shear stress.
Shear Stress = Force / Area
The magnitude of the force is given as 9.00×105 N, and we know that the force is applied parallel to the side of the plate. This means that the force is applied over the surface area of the square face.
Area = Length × Width
Since it is not specified, we'll assume that the plate is a square with equal lengths on all sides.
Now we have all the information we need to calculate the shear strain.
Shear Stress = 9.00×105 N / (Length × Width)
The shear modulus is given as 7.50×1010 Pa.
Shear Strain = Shear Stress / Shear Modulus
Plug in the values into the equation and calculate the shear strain.