Question

Figure P shows a profile of a bus with circular wheels on a flat road. The options below show profiles of 4 wheels and corresponding roads. If the ‘wheel’ always moves without slipping or sliding, which of the options will result in the bumpiest ride?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is D

To determine which option will result in the bumpiest ride, we need to consider the interaction between the wheels and the road surface. A bumpy ride occurs when there is high variability in the vertical displacement the wheel experiences as it rolls. Let's examine the potential conditions of each figure:

Analysis:

• Fig 1: Smooth profile with minimal variation leads to a gentle ride.
• Fig 2: Slightly uneven profile with some moderate variations causes mild bumps.
• Fig 3: Contains distinct variations with more pronounced undulations likely to cause noticeable bumps.
• Fig 4: Features jagged and extreme variations. The large, abrupt changes in elevation cause significant vertical displacement, leading to the bumpiest ride.

Based on this analysis, Fig 4 will result in the bumpiest ride due to its sharp and frequent transitions, maximizing the displacement as the wheel rolls over the surface.