The inward bending of a cyclist while turning is due to

Options

A. Get reaction force
B. Get suitable centripetal force
C. Minimise frictional force
D. All of these

Answer

To solve the question regarding the inward bending of a cyclist while turning, we can break down the explanation into clear steps:

### Step-by-Step Solution:

1. **Understanding the Scenario**:
- When a cyclist takes a turn, they lean inward. This is a common observation and is crucial for maintaining balance and control during the turn.

2. **Identifying Forces Acting on the Cyclist**:
- There are two main forces acting on the cyclist:
- The gravitational force (weight) acting downwards, which is \( mg \).
- The normal force (\( N \)) acting perpendicular to the surface.

3. **Analyzing the Angles**:
- When the cyclist bends inward, they do so at an angle \( \theta \) with respect to the vertical. This angle is crucial in determining how the forces are balanced.

4. **Resolving Forces**:
- The normal force can be resolved into two components:
- A vertical component: \( N \cos(\theta) \) which balances the weight of the cyclist (\( mg \)).
- A horizontal component: \( N \sin(\theta) \) which provides the necessary centripetal force required for the turn.

5. **Centripetal Force Requirement**:
- For the cyclist to maintain circular motion while turning, the horizontal component of the normal force must equal the required centripetal force, which is given by the formula:
\[ F_c = \frac{mv^2}{r} \]
- Here, \( m \) is the mass of the cyclist, \( v \) is the velocity, and \( r \) is the radius of the turn.

6. **Setting Up the Equation**:
- From the balance of forces, we can write:
\[ N \sin(\theta) = \frac{mv^2}{r} \]
- This equation shows that the inward bending (leaning) of the cyclist helps in generating the necessary centripetal force for the turn.

7. **Conclusion**:
- Therefore, the inward bending of a cyclist while turning is primarily due to the need to obtain the suitable centripetal force required for circular motion. Thus, the correct answer is option 2: "centripetal force".