Finding Force and Tension of Suspended Sphere

AI Thread Summary
To find the force of the horizontal breeze and the tension in the cord for a sphere suspended at a 35° angle, one must analyze the forces acting on the sphere. The problem involves breaking down the forces into horizontal and vertical components, considering that the sphere is in equilibrium. The net horizontal force is equal to the force of the wind, while the vertical forces balance the weight of the sphere and the tension in the cord. A free body diagram is recommended to visualize the forces involved. Understanding that the angle remains constant is crucial for solving both the push force and the tension in the cord.
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1. A sphere of mass 3.3*10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 35° with the vertical.
(a) Find the magnitude of that push.

(b) Find the tension in the cord.




Homework Equations



F=m*a

The Attempt at a Solution



I divided it into horizontal and vertical components, but was unable to really succeed from there.
 
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If the constant horizontal breeze is holding the ball steady at a certain angle, then what can you say about the net horizontal force acting on the ball? Can you then use components to find out the magnitude of the force of the wind?
 
I would recommend setting up a free body diagram for the sphere, representing all the forces in play.
The cord makes constant angle, constant being the key word for what's going on.
With this you should be able to solve for both F_p and F_T
 
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