Question

The types of constraints on the mechanical system consisting of a cylinder rolling (and possibly sliding) down an inclined plane of angle \( \alpha \) are:

• A. Scleronomic and holonomic
• B. Scleronomic and non-holonomic
• C. Rheonomic and non-holonomic
• D. Rheonomic and holonomic

Hint:

Scleronomic constraints do not depend explicitly on time, while non-holonomic constraints cannot be expressed solely in terms of coordinates and time.

Answer 1

The Correct Option is B

- A scleronomic constraint does not explicitly depend on time.
- A holonomic constraint can be expressed as an equation involving only coordinates and time.
For rolling motion:
\[ v = R\omega \] which is non-holonomic because it involves velocities, not just coordinates.