For the point moving on a straight line which of following is true.a)H...
Acceleration:
- The object under motion can undergo a change in its speed. The measure of the rate of change in its speed along with direction with respect to time is called acceleration.
- The motion of the object can be linear or circular.
Linear acceleration:
- The acceleration involved in linear motion is called linear acceleration.
- Here the acceleration is only due to the change in speed and no acceleration due to change in direction, therefore no radial component of acceleration.
Circular acceleration:
- The acceleration involved in a circular motion is called angular acceleration.
- In a circular motion, the acceleration experienced by the body towards the centre is called the centripetal acceleration which can be resolved into two-component.
- A radial component and a tangential component depending upon the type of motion.
Radial acceleration (ar):
- The acceleration of the object along the radius, directed towards the centre is called radial acceleration.
Tangential acceleration (at):
- The tangential component is defined as the component of angular acceleration tangential to the circular path.
For the point moving on a straight line which of following is true.a)H...
Introduction
When a point moves on a straight line, it can have various components of acceleration. In this case, the correct answer is option 'A', which states that the point has no radial component of acceleration. Let's understand why this is true by discussing the different components of acceleration and their relevance to a point moving on a straight line.
Components of Acceleration
Acceleration is the rate of change of velocity. When a point moves on a straight line, its velocity can change due to two components of acceleration - tangential acceleration and radial acceleration.
1. Tangential Component of Acceleration: This component is parallel to the direction of motion of the point. It determines how fast the speed of the point is changing. If the point is moving with a constant speed, the tangential acceleration is zero.
2. Radial Component of Acceleration: This component is perpendicular to the direction of motion of the point. It determines how the direction of motion of the point is changing. If the point is moving on a straight line, there is no change in direction, and thus the radial acceleration is zero.
No Radial Component of Acceleration
Since the point is moving on a straight line, there is no change in direction. This means that the radial component of acceleration is zero. Therefore, option 'A' is correct, stating that the point has no radial component of acceleration.
Tangential Component of Acceleration
Although the correct answer is option 'A', it is important to note that the point can still have a tangential component of acceleration. This component determines how the speed of the point is changing. If the point is accelerating or decelerating along the straight line, there will be a non-zero tangential acceleration.
Conclusion
In summary, when a point moves on a straight line, it has no radial component of acceleration. This is because there is no change in the direction of motion. However, the point can still have a tangential component of acceleration if it is accelerating or decelerating along the straight line.
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