Friction - minimum value of force for movement

AI Thread Summary
The discussion revolves around determining the minimum force required to initiate movement in a system involving two masses, M1 and M2, with given values of mass and static friction. The initial calculations suggest forces of 9N and 6N, but confusion arises regarding the forces acting on the wheels connected to the masses. It is clarified that the only forces acting on the wheels are vertical normal forces, with no horizontal forces due to their ability to rotate freely. The conversation shifts to another problem involving equilibrium in members AB and BC, where normal forces are being analyzed. The participants are encouraged to reconsider their approach by taking moments about a pin for accurate results.
voliseq
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Homework Statement



Determine the minimum value of the force F for which the systems start moving. Assume M1 = 1kg, M2 = 2kg, Us = 0.3.
Solution: F = 9; F = 6N

4dzes.jpg

My problem is that i don't know the forces acting on wheel.

Homework Equations





The Attempt at a Solution


M1 :
F - T = 0
M1g - N = 0
M2:
Fr - T = 0
M1g+M2g - N(from mass 1 and mass 2) = 0
 
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voliseq said:

Homework Statement



Determine the minimum value of the force F for which the systems start moving. Assume M1 = 1kg, M2 = 2kg, Us = 0.3.
Solution: F = 9; F = 6N

4dzes.jpg

My problem is that i don't know the forces acting on wheel.

Homework Equations



The Attempt at a Solution


M1 :
F - T = 0
M1g - N = 0
M2:
Fr - T = 0
M1g+M2g - N(from mass 1 and mass 2) = 0
Hello voliseq. Welcome to PF !

Which wheel (or wheels) ?
 
Hi Sammy, i mean those wheels attached to M1 (on first picture) and M2(on second picture).
 
voliseq said:
Hi Sammy, i mean those wheels attached to M1 (on first picture) and M2(on second picture).
The only forces acting on the wheels are normal (vertical) forces. The wheels are free to rotate, so the horizontal forces acting on them are zero.

Chet
 
Another problem

Thanks Chest it works, now i have got another problem to solve,
1. Here is the problem

f0d8p4.jpg


2. And here is my attempt at solution

2jb7fo1.jpg


I think something is wrong here as i can't get correct result
 
The members AB and BC need to be in equilibrium. In terms of P, what is the normal force exerted by the cylinder on AB? What is the normal force exerted by AB on the cylinder?

Chet
 
Chestermiller said:
The members AB and BC need to be in equilibrium. In terms of P, what is the normal force exerted by the cylinder on AB? What is the normal force exerted by AB on the cylinder?

Chet

N = Pcos30 ?
 
voliseq said:
N = Pcos30 ?
Please try again, taking moments about the pin.

Chet
 
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