Uniform Circular Motion: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Uniform Circular Motion. Understanding the underlying formula is key to arriving at the correct answer below:

When a cyclist takes a zig-zag path, the effective angle of inclination \( \alpha \) becomes smaller than the actual angle \( \theta \). This reduces the component of gravity along the slope \( mg \sin \alpha \) and increases the normal force \( mg \cos \alpha \). This makes it easier to ascend and helps prevent slipping. Both (A) and (R) are true and (R) is the correct explanation of (A).