To analyze the statements provided in the question, we will evaluate each statement step by step.
### Step 1: Understanding Statement 1
**Statement 1**: "As a simple pendulum oscillates, its bob has a non-zero acceleration at the mean position which is directed towards the point of suspension."
- In a simple pendulum, the bob experiences gravitational force acting downwards. At any position other than the mean position, the bob has both tangential and radial components of acceleration.
- At the mean position (the lowest point), the angle θ is zero. The only component of acceleration acting on the bob is the radial acceleration, which is equal to the acceleration due to gravity (g).
- Therefore, at the mean position, the acceleration is directed towards the point of suspension (the pivot) and is non-zero.
**Conclusion for Statement 1**: True
### Step 2: Understanding Statement 2
**Statement 2**: "Speed of an object in SHM is maximum at the mean position."
- In simple harmonic motion (SHM), the total mechanical energy is conserved. At the extreme positions of the pendulum, all the energy is potential energy (maximum), and the kinetic energy is zero (speed is zero).
- At the mean position, the potential energy is at its minimum, and all the energy is converted into kinetic energy, which means the speed of the bob is at its maximum.
- Thus, the speed of the bob is maximum at the mean position.
**Conclusion for Statement 2**: True
### Step 3: Relationship between the Statements
- Both statements are true. However, Statement 1 describes the acceleration of the bob at the mean position, while Statement 2 describes the speed of the bob at the same position.
- The two statements are related in the context of the pendulum's motion but do not directly explain each other.
### Final Conclusion
- Both Statement 1 and Statement 2 are true, but Statement 2 is not a correct explanation for Statement 1.
### Answer
- **Option B**: Statement 1 is true, Statement 2 is true, but Statement 2 is not a correct explanation for Statement 1.
