Suspended Ball

Albeaver89 · Sep 20, 2012

1. The problem statement, all variables and given/known data
In the diagram below, the horizontal force, F, holds the ball steady. Given F = 9.5 N, and θ = 28°, calculate the mass of the ball. (I think I attached the picture, or well I hope I did)

2. Relevant equations
ƩF=ma

3. The attempt at a solution
So I know I have to find the angle between the two vectors, which is just 28°+90°=118°. Then I know the force from the tension must be equal to the horizontal force, I just can't seem to figure out the formula. I also think I need to find the hypotenuse, which is : 9.5 *Tan(118°)≈17.867 I think....

Well any help would be awesome, thanks for everything in advanced :)

azizlwl · Sep 20, 2012

The resultant of forces in any direction is equal to zero.
Take any reference of frame for easy calculation.
Vectors in opposite or same direction can be added or substracted directly.
A vector can be resolved or replaced with 2 component vectors.

Finally draw a vector or fbd diagram.

rl.bhat · Sep 20, 2012

Resolve the tension T in two vertical and horizontal components. Equate them to mg and F. From that find the required result.

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Suspended Ball

Albeaver89

Attached Files:

prob56a.gif

azizlwl

rl.bhat

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