Machine Design MCQ Questions & Answers | Mechanical Engineering

The backlash for spur gears depends upon both module and pitch line velocity.

Backlash refers to the clearance or gap between mating gear teeth.

It is influenced by the module, which is the size of the gear teeth, and the pitch line velocity, which is the speed at which the gear teeth engage and disengage.

Therefore, both module and pitch line velocity play a role in determining the backlash in spur gears.

When comparing the deflection of two springs with different mean diameters, we use the formula:
$$\left( \frac{\text{Deflection of Spring B}}{\text{Deflection of Spring A}} \right) = \left( \frac{\text{Mean Diameter of Spring A}}{\text{Mean Diameter of Spring B}} \right)^3$$
Given that spring 'A' has a mean diameter of 50 mm and spring 'B' has a mean diameter of 25 mm:
$$\left( \frac{50}{25} \right)^3 = 2^3 = 8$$
This implies that the deflection of spring 'B' is one-eighth $$ \frac{1}{8} $$ of the deflection of spring 'A'.
Hence, the correct answer is:
Option A: One-eighth