2.1. Solution

Try these first

1. 1.

   Define torque in your own words.

   Hint

   Think of it as the twist applied to a lever.

2. 2.

   What is the significance of the polar moment of inertia?

   Hint

   Focus on its role in determining structural integrity.

3. 3.

   What does torque cause in a cylindrical object?

   • Bending
   • Rotating
   • Stretching

   Hint

   Consider how you push or pull on a door handle.

4. 4.

   True or False: The shear modulus is constant for all materials.

   • True
   • False

   Hint

   Remember different materials behave differently under stress.

5. 5.

   A cylindrical rod with a length of 2m and a varying radius experiences a torque of 100Nm at one end. Calculate the angle of rotation at the free end, assuming the radius varies linearly from 0.1m to 0.05m.

   Hint

   Break the problem down into manageable parts: analyze the varying radius and find J accordingly.

6. 6.

   Given a composite shaft under torque with sections of different materials, how would you evaluate the overall twist experienced by the shaft?

   Hint

   Remember to account for clamping at both ends, leading to zero overall rotation.