Equilibrium of a constant speed

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SUMMARY

The discussion centers on the equilibrium of a model airplane with a mass of 0.90 kg moving in a horizontal circular path with a radius of 17 m at speeds of 19 m/s and 38 m/s. The airplane is in a state of dynamic equilibrium as the lift generated by its wings balances its weight. The centripetal force, calculated using the formula F = mv²/r, indicates that the airplane experiences a net force directed towards the center of the circle, confirming it is not in static equilibrium. The presence of two speeds suggests different scenarios for analyzing the forces acting on the airplane.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of centripetal force and its calculation
  • Familiarity with the concepts of equilibrium in physics
  • Basic grasp of circular motion dynamics
NEXT STEPS
  • Study the derivation and application of the centripetal force formula F = mv²/r
  • Explore the concept of dynamic equilibrium in circular motion
  • Investigate the effects of varying speeds on centripetal force
  • Learn about the role of tension in circular motion scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to explain concepts of equilibrium and forces in dynamic systems.

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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