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A cycle is fitted with small brakes and ...

A cycle is fitted with small brakes and another is fitted with very big brakes. The one which is more effective is

A

Small brakes

B

Big brakes

C

Both are equally effective

D

None

Text Solution

AI Generated Solution

The correct Answer is:
To determine which cycle is more effective in braking, we need to analyze the relationship between the size of the brakes and the braking force produced due to friction. ### Step-by-Step Solution: 1. **Understanding Braking Mechanism**: - Braking in a cycle is primarily achieved through friction between the brake pads and the wheel rim. The effectiveness of the brakes depends on the frictional force generated. 2. **Frictional Force**: - The frictional force \( F_f \) can be expressed as: \[ F_f = \mu \cdot N \] where \( \mu \) is the coefficient of friction and \( N \) is the normal force (the force exerted by the brake pads on the wheel). 3. **Effect of Brake Size**: - Larger brakes have a greater contact surface area with the wheel. This increased area allows for a larger normal force \( N \) when the brakes are applied, which in turn increases the frictional force \( F_f \). 4. **Conclusion on Effectiveness**: - Since larger brakes provide a greater contact area, they can generate a larger frictional force. Therefore, the cycle fitted with larger brakes will be more effective in stopping the cycle compared to the one with smaller brakes. 5. **Final Answer**: - The cycle with very big brakes is more effective.
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