# Finding Force and Tension of Suspended Sphere

• iamkristing
In summary, a sphere of mass 3.3*10-4 kg is suspended from a cord at a constant angle of 35° with the vertical due to a steady horizontal breeze. Using the equations F=m*a and components, the magnitude of the push and the tension in the cord can be solved for.
iamkristing
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.

F=m*a

## The Attempt at a Solution

I divided it into horizontal and vertical components, but was unable to really succeed from there.

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 $$F_T$$

## 1. How do you calculate the force and tension of a suspended sphere?

The force and tension of a suspended sphere can be calculated using the formula F = mg, where F is the force, m is the mass of the sphere, and g is the acceleration due to gravity. The tension can also be calculated using the formula T = F + ma, where T is the tension, F is the force, m is the mass, and a is the acceleration of the sphere.

## 2. What factors affect the force and tension of a suspended sphere?

The force and tension of a suspended sphere can be affected by several factors, including the mass of the sphere, the length of the string or cable used to suspend it, the acceleration due to gravity, and any external forces acting on the sphere.

## 3. How does the angle of the suspended sphere affect the force and tension?

The angle of the suspended sphere can affect the force and tension by changing the direction of the force and tension vectors. As the angle increases, the force and tension vector components also increase, resulting in a greater overall force and tension on the sphere.

## 4. What is the significance of finding the force and tension of a suspended sphere?

Finding the force and tension of a suspended sphere can help in understanding the equilibrium of the system and determining the stability of the sphere. It can also be used to calculate the maximum weight that the sphere can hold without breaking the string or cable.

## 5. Can the force and tension of a suspended sphere be negative?

No, the force and tension of a suspended sphere cannot be negative. These values are always positive, as they represent the magnitude of the force or tension acting on the sphere in the given direction.

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