Is sum centrifugal force and centripetal force zero?

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SUMMARY

The discussion centers on the relationship between centrifugal and centripetal forces in rotating and reciprocating systems. It establishes that in a rotating frame of reference, centrifugal and centripetal forces can cancel each other, resulting in a net force of zero, allowing for constant angular velocity. In contrast, inertial forces, which arise in non-inertial frames, are crucial for analyzing motion and balancing machines. The conversation emphasizes the importance of frame selection in understanding the effects of these forces on mechanical systems.

PREREQUISITES
  • Understanding of centrifugal and centripetal forces
  • Knowledge of inertial and non-inertial frames of reference
  • Familiarity with basic principles of rotational dynamics
  • Concepts of machine balancing and vibration minimization
NEXT STEPS
  • Study the principles of rotational dynamics in detail
  • Learn about the effects of inertial forces in non-inertial frames
  • Explore methods for balancing reciprocating and rotating machinery
  • Investigate the mathematical models used for analyzing forces in different frames of reference
USEFUL FOR

Mechanical engineers, physics students, and professionals involved in machine design and vibration analysis will benefit from this discussion.

ajayguhan
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While balancing rotating mass we consider the inertia force (centrifugal force) is equal and opposite to centripetal force which causes the rotation.

if both force(applied external force on rotating mass) which causes the motion and force which resist motion (inertia force) are equal and opposite, won't they cancel each other and produce nil effect? if so how is the ball rotating with constant angular velocity

In case of reciprocating mass again we have inertia force which is the mass times the acceleration of reciprocating mass and opposite in direction. if the inertia force and motion causing applied force are equal and opposite, isn't the net force on the body is zero?if not why it is so? and why we consider:
1. inertial force equal and opposite to the external force applied
2. what is the real effect of inertia force on a body?
 
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Centrifugal does not exist in a non rotating frame of reference. So you can have centrifugal or centripetal force acting on the ball depending on which frame of reference you choose, rotating or not, but no both together.
 
drummin said:
Centrifugal does not exist in a non rotating frame of reference.
The inertial centrifugal force exists only in non rotating frames of reference.

drummin said:
So you can have centrifugal or centripetal force acting on the ball depending on which frame of reference you choose, rotating or not, but no both together.
In the rotating frame you have both of them acting.
 
ajayguhan said:
isn't the net force on the body is zero?
Yes, if you choose a rotating frame of reference, where the acceleration of the body is zero, then centripetal and centrifugal force must cancel.

ajayguhan said:
if so how is the ball rotating with constant angular velocity
In the rotating frame where they cancel, the ball is static.
 
okay then in case of reciprocating motion, should we consider inertia force only when we choose a reciprocating frame(non inertia frame)?

then what effect does the inertia force has on motions? and why do we consider them for balancing of machines and minimizing the vibration?
 
ajayguhan said:
okay then in case of reciprocating motion, should we consider inertia force only when we choose a reciprocating frame(non inertia frame)?

then what effect does the inertia force has on motions? and why do we consider them for balancing of machines and minimizing the vibration?
In physics "inertial forces" usually refers to forces that arise only in non-inertial frames. In engineering the term is sometimes used in quasi static analysis of accelerating parts. For a simple system like your ball, the math of these two approaches is indistinguishable.
 
A.T. said:
In physics "inertial forces" usually refers to forces that arise only in non-inertial frames. In engineering the term is sometimes used in quasi static analysis of accelerating parts. For a simple system like your ball, the math of these two approaches is indistinguishable.

we consider inertia force only when we deal with non inertial frame, if so while balancing a machine which has say reciprocating or rotating motion, do we balance it in non inertial frame?
 
ajayguhan said:
if so while balancing a machine which has say reciprocating or rotating motion, do we balance it in non inertial frame?
I don't know which frame of reference you use to analyze your machine. If you use a non-inertial frame, there will be inertial forces.
 

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