Question

Shown below are tables of a new design. Which table(s) will not tilt, if given a small perturbation in any direction?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is C, D

To determine which tables will not tilt when subjected to a small perturbation in any direction, we need to assess the stability of each design. A stable table generally has the following characteristics: a low center of gravity, wide base, and even weight distribution.

First, consider the stability aspects:

• Wide Base: The base of the table should be broad enough to resist tipping.
• Low Center of Gravity: A lower center of gravity enhances stability.
• Even Weight Distribution: The weight needs to be distributed evenly across the table to prevent tilting from minor shifts.

Upon analyzing the designs:

Table	Characteristics	Stability
	High center of gravity, narrow legs	Unstable
	Moderately wide base, uneven weight distribution	Possibly Unstable
	Wide base, low center of gravity	Stable
	Wide base, even weight distribution	Stable

Based on these characteristics,

and

are the tables that will not tilt when given a small perturbation in any direction due to their stable design.