Choose the correct statement

Options

A. A sphere can do pure rolling on smooth horizontal surface
B. A sphere can't do pure rolling on a fixed smooth wedge
C. Rolling friction can act parallel or antiparallel to the direction of motion
D. All of these

Answer

To solve the question, we need to analyze each of the statements provided and determine their correctness.

### Step 1: Analyze Statement 1
**Statement 1:** A sphere can do pure rolling on a smooth horizontal surface.

- **Explanation:** A sphere can indeed roll without slipping on a smooth horizontal surface. This is because the surface provides enough friction for the sphere to roll without sliding. Therefore, this statement is **correct**.

### Step 2: Analyze Statement 2
**Statement 2:** A sphere can't do pure rolling on a fixed smooth wedge.

- **Explanation:** When a sphere is placed on a fixed smooth wedge, it rolls down due to gravity. However, because the wedge is fixed and smooth, the sphere will exert a backward force as it rolls down, causing it to slip rather than roll without slipping. Thus, this statement is also **correct**.

### Step 3: Analyze Statement 3
**Statement 3:** Rolling friction can act parallel or anti-parallel to the direction of motion.

- **Explanation:** Rolling friction is the force that opposes the motion of a rolling object. It acts along the surface of contact and can indeed act either parallel or anti-parallel to the direction of motion depending on the circumstances (e.g., if the object is rolling uphill or downhill). Therefore, this statement is also **correct**.

### Step 4: Analyze Statement 4
**Statement 4:** All of the above are correct.

- **Explanation:** Since we have established that all three previous statements are correct, this statement is also **correct**.

### Conclusion
Based on the analysis of all statements, the correct answer is that **all of the statements are correct**.

### Final Answer:
**The correct statement is: All of the above are correct.**

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