1. **State the problem:** We are given an object at point A with potential energy (PE) of 360 J and kinetic energy (KE) of 0 J. We need to find the total mechanical energy (TE) at point A. 2. **Formula used:** Total mechanical energy is the sum of potential energy and kinetic energy: $$ TE = PE + KE $$ 3. **Apply the values:** Substitute the given values into the formula: $$ TE = 360 + 0 $$ 4. **Simplify:** $$ TE = 360 $$ 5. **Interpretation:** The total mechanical energy at point A is 360 J. This means all the energy is stored as potential energy at this point, with no kinetic energy. **Final answer:** $$ \boxed{360\text{ J}} $$