What are the minimum force values needed to hold an object without it falling?

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To determine the minimum force values needed to hold a marble without it falling, a free body diagram is essential. The force of gravity acting on the marble is calculated as mg, and the required force of friction to prevent it from falling is mg divided by the coefficient of friction, which is 0.05. For a marble weighing 0.003 kg, this results in a frictional force of approximately 0.588 N. The discussion also touches on whether the frictional force would be evenly distributed between two contact points, raising questions about the nature of friction and its dependence on surface area. Overall, understanding these forces is crucial for solving the problem accurately.
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This is a problem I came up without of curiosity but can't solve.. The image shows a situation similar to a thumb an index finger grasping a marble. Probably obvious to figure out, but I can't, so I'll ask. What are the minimum force values F1 and F2 necessary to keep the marble from falling if mass is known?
 

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Start by drawing a correct free body diagram.:wink:
edit: Actually you still need a friction coefficient in order to solve it.
 
Found a link saying the coefficient of friction is .05

So if the mass is M, the force of gravity on it would be mg, the force of friction must equal this so it would require a force of mg/.05 so for a marble weight .003kg, it would be .588N
 
Force of friction is \mu N where N is the normal force. Since we also know that this needs to be \geq Mg you can solve :)
As a side note I've included two frictional forces since there's no reason to assume one side is preferable to another and I know from experience there is no net torque, however if friction is independent of surface area would the force be distributed between the two contact points? In other words would each frictional force be half what I've written? It seems like it should be but how could each side "know" that the other side had some frictional force? Then again I guess it might have to since the same argument must be wrong when applied to any single atom "knowing" about the friction on any other atom with a block sliding down an incline.
I'll change the value back but leave this here as kind of an interest thing I guess. :)
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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