Equilibrium of a constant speed

AI Thread Summary
The discussion centers on whether a model airplane moving in a horizontal circular path at constant speeds of 19 m/s and 38 m/s is in equilibrium. The airplane, with a mass of 0.90 kg, experiences a balance between its weight and the lift generated by its wings. It is clarified that for an object to be in equilibrium, the net force must be zero, which is not the case here due to the presence of centripetal force directed toward the center of the circle. Calculations for centripetal force yield values of 100 N and 201 N, indicating that the airplane is not in equilibrium. The tension in the cable provides the necessary centripetal force, confirming that the plane cannot be in equilibrium while in motion.
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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