Equilibrium of a constant speed

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Homework Help Overview

The discussion revolves around the equilibrium of a model airplane moving in a circular path at constant speed. The airplane has a mass of 0.90 kg and operates in a horizontal plane, with forces such as lift and weight being considered. The problem involves analyzing the conditions under which the airplane can be considered in equilibrium while moving at two different speeds.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the concept of equilibrium in the context of centripetal force, questioning whether a net force of zero is necessary for equilibrium. There is also inquiry into the implications of having two different speeds and how that affects the equilibrium state of the airplane.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of equilibrium in relation to centripetal force. Some have provided calculations for centripetal force but have not reached a consensus on the implications for equilibrium.

Contextual Notes

There is a mention of two different speeds and how they relate to the equilibrium condition, which raises questions about the setup and assumptions of the problem. Participants are also considering the role of tension in the cable as a factor in the forces acting on the airplane.

layla2525
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Homework Statement



The model airplane in Figure 5.6 has a mass of 0.90 kg and moves at a constant speed on a circle that is parallel to the ground. The path of the airplane and its guideline lie in the same horizontal plane, because the weight of the plane is balanced by the lift generated by its wings. Length is 17 m. and speeds of 19 and 38.



The toy plane goes around in a circle that is parallel to the ground, at constant speed. Is the plane in equilibrium?


Homework Equations






The Attempt at a Solution



I know that having a net force of zero or centripetal force of zero allows to be at equilibrium.

The centripetal force is also directed toward the center of the circle and net force is the vector sum of all the force components that point along the radial direction.
 

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layla2525 said:

Homework Statement



The model airplane in Figure 5.6 has a mass of 0.90 kg and moves at a constant speed on a circle that is parallel to the ground. The path of the airplane and its guideline lie in the same horizontal plane, because the weight of the plane is balanced by the lift generated by its wings. Length is 17 m. and speeds of 19 and 38.



The toy plane goes around in a circle that is parallel to the ground, at constant speed. Is the plane in equilibrium?


Homework Equations






The Attempt at a Solution



I know that having a net force of zero or centripetal force of zero allows to be at equilibrium.

The centripetal force is also directed toward the center of the circle and net force is the vector sum of all the force components that point along the radial direction.
Is the centripetal force 0??
 
TO get the centripetal force I used to equation F=(mV)/r

and I got 100 and 201... So it is not in equilibrium ?
 
I don't know why you have 2 speeds...2 different cases? Anyway, if a net force is being applied to an object, can it be in equilibrium? BTW, the centripetal force is mv^2/r, the tension in the cable in this example.
 

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