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Chapter 12: Problem 9

Does choosing a pivot point in an equilibrium problem mean that something is necessarily going to rotate about that point?

Short Answer

Expert verified
No, choosing a pivot point in an equilibrium problem does not mean that the system will necessarily rotate about that point. The pivot point in such problems is chosen for calculations convenience, but in an equilibrium state, there are no net forces or torques causing rotation about that point.

Step by step solution

01

Understanding the Concept of a Pivot Point

In physics, particularly when studying torques and rotational motion, a pivot point or fulcrum is the point or location in a lever system where the center of rotation is located. This point is crucial in determining the balance or imbalance of the system based on the forces applied to it.
02

Applying the Concept of a Pivot Point in Solving Equilibrium Problems

In solving equilibrium problems, a pivot point is often chosen to compute the torques. The selection of this point is mainly for calculation conveniences. The object will not necessarily rotate around this chosen point, especially if the object is in equilibrium, where there is no net torque and hence no rotation.
03

Conclusion

Choosing a pivot point in an equilibrium problem does not imply that the system will rotate about that point. In equilibrium, there are no net forces or torques causing rotation, and the chosen pivot point serves merely as an aid in calculations. Being able to select a convenient pivot point for calculating torques is a valuable skill in solving statics and dynamics problems, but it should not be confused with actual physical rotation of the system about that point.

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