Question

When analyzing the acceleration of a point in a rotating link using the relative acceleration equation, which component is NOT directly considered?

सापेक्ष त्वरण समीकरण का उपयोग करके घूर्णन लिंक में किसी बिंदु के त्वरण का विश्लेषण करते समय, किस घटक पर सीधे विचार नहीं किया जाता है?

Coriolis acceleration

Tangential acceleration

Centripetal acceleration

Gravitational acceleration

Answer ( Option D)

Gravitational acceleration

Solution

Analyzing Acceleration in a Rotating Link:

When analyzing the acceleration of a point in a rotating link, it is essential to consider the different components of acceleration that contribute to the overall motion.
The relative acceleration equation is a fundamental tool used in this analysis, breaking down the acceleration into various components that act on the point in question.

&Key Points :-
Components of Acceleration:

The relative acceleration equation typically considers the following components:

Tangential Acceleration:

This component is due to the change in the magnitude of the velocity of the point.
It acts tangentially to the path of the point and is given by the product of the angular acceleration and the radius of rotation.

Centripetal (or Radial) Acceleration:

This component is due to the change in direction of the velocity of the point.
It acts radially inward towards the center of rotation and is given by the square of the angular velocity times the radius of rotation.

Coriolis Acceleration:

This component arises when a point moves in a rotating reference frame.
It acts perpendicular to the velocity of the point and the axis of rotation.
It is given by twice the product of the angular velocity and the relative velocity of the point in the rotating frame.

Gravitational Acceleration :

When analyzing the acceleration of a point in a rotating link using the relative acceleration equation, gravitational acceleration is NOT directly considered.
The relative acceleration equation focuses on the components of acceleration that arise due to the rotational motion and the relative motion of the point within the rotating link.
Gravitational acceleration, while acting on the point, is a constant acceleration that affects all points equally and is not specific to the rotational motion being analyzed.