What is the Force Exerted by a Ball Against a Wall Supported by a Thin Wire?

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To determine the force exerted by a ball against a wall supported by a thin wire, Newton's first law can be applied since the ball is not accelerating. The ball, weighing 42 kg and with a diameter of 32 cm, creates a scenario where the center of mass is 16 cm from the wall. A free body diagram is essential for visualizing the forces at play, particularly in forming a triangle with dimensions of 16 cm, 43.1 cm, and 46 cm. The geometry of the setup must be considered to accurately calculate the force. Understanding these principles will lead to the correct application of the necessary equations to solve the problem.
poorfish10
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Hi,
I am having trouble figuring out how to start this problem, I have a free body diagram, but I am not sure which equation to use to help me solve for this, please help!

A solid form 42 kg ball of diameter 32 cm is supported against a vertical frictionless wall using a thin 30cm wire of negligible mass, how hard does the ball push against the wall?

Thank you!
 
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poorfish10 said:
I am not sure which equation to use to help me solve for this, please help!
The ball is not accelerating so you can use Newton's first law (sum of the forces = 0).
 
yes, but the center of the ball (where the mass is to be assumed) is 16cm away from the wall. so you have a triangle that is a=16 b=43.1 c=46, don't you ave to take that into account?
 

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