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Relation between acceleration and deformation
Posted: Wed Dec 09, 2015 7:58 pm
by k4w54r
What will happen if I apply 10N force to a body's one end and 11N to it's others end (both forces acting in the same straight line)? Which force will accelerate the body and which force will deform the body? Why?
Re: Relation between acceleration and deformation
Posted: Tue Dec 29, 2015 8:08 pm
by SMMamun
It's always progressive for mutual discussion if we share our line of thought with the questions we pose. Otherwise, merely asking questions may fail to elicit sufficient interest among the forum members.
Now about your question, you did not specify the directions of the forces.
Anyway, both forces will contribute to deformation in the body, because either tension or compression will develop in the object in response to the applied 10N and 11N forces. The tension or compression will cause deformation, however small or imperceptible to our eyes it might be.
The net force, (11N + 10N) or (11N – 10N) depending on their directions of application, will cause acceleration of the body.
We generally calculate deformations for objects at rest, for which the net force is 0. However, uniformly moving or accelerating objects also undergo deformation. You can calculate total deformation for either a static or a dynamic object, by considering one force at a time, computing deformation due to that single force, and finally summing up all such deformations. However, geometry and structure of the object and directions of applied forces may complicate such calculations.