Solve Equilibrium Problems with Frictionless Pivot & Find Upward Reaction Force

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The discussion focuses on solving equilibrium problems involving a uniform bar balanced on a frictionless pivot. The upward reaction force at the pivot is determined to be 2Fw, as the sum of all forces must equal zero in equilibrium. Additionally, the load hanging to the left of the pivot is also calculated to be 2Fw. To find the upward reaction force, one must consider the balance of forces acting on the bar. The conversation also touches on a separate question regarding a clay weight on a beam, confirming that the weight of the clay is 1.0 N when the system is in equilibrium.
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ive been trying to figure this stupid **** out the last 2 days and i can't get an answer..searched all over the internet..im sure its simple but i need to know how to do it..step by step..i already have the answers i just need to know how to get them..so please don't say do it this way n that's it..please word it and do step by step so i can understand..

fig. MC2 shows a uniform 100-cm long bar of weight F w, balanced in equilibrium on a frictionless pivot. [picture a long bar and it being balanced on the point, but the point is towards the beginning of the bar with a weight to the left of it, to keep it at equilibrium]
________________
(________________)
(w) ^

w=weight, ^= pivot

i know the weight of the bar acts 50 cm to the right of the pivot.

Q: what is the value of the upward reaction force on the bar at the pivot?
a. F w
b. 2F w
c. 3F w
d. 4F w

F w(weight)

Q2: what is the value of the load hanging at the left of pivot?
a. F w
b. 2F w
c. 3F w
d. 4F w

no clue how they got the numbers in front of the Fw

also..
how do i find an upward reaction force?

also..
different question: the motionless beam in the photo is 55 cm long and is supported at a frictionless pivot..if each of the 2 hanging objects on the left weighs 1.0N, how much does the clay way. ( a picture shows the 2 hanging objects on one side is heavier than the clay(which is high in the air).. i know the answer is 1.0 N but what's the equations

please help..i got instant messenger if better
 
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..Answer:Q: what is the value of the upward reaction force on the bar at the pivot?Answer: b. 2F wSince the bar is in equilibrium, the sum of all forces should be equal to 0. The bar is supported by two forces, the weight (Fw) of the bar and the upward reaction force (Fr). Therefore, Fw + Fr = 0. Since Fw = -Fr, Fr = 2Fw. Q2: what is the value of the load hanging at the left of pivot?Answer: b. 2F wSince the bar is in equilibrium, the sum of all forces should be equal to 0. The bar is supported by two forces, the weight (Fw) of the bar and the load (Fl) hanging on the left of the pivot. Therefore, Fw + Fl = 0. Since Fw = -Fl, Fl = 2Fw. how do i find an upward reaction force?To find the upward reaction force, you need to calculate the sum of all forces acting on the bar. Since the bar is in equilibrium, the sum of all forces should be equal to 0. The bar is supported by two forces, the weight (Fw) of the bar and the upward reaction force (Fr). Therefore, Fw + Fr = 0. Solving for Fr, we get Fr = -Fw. This means that the upward reaction force is equal in magnitude but opposite in direction to the weight of the bar. different question: the motionless beam in the photo is 55 cm long and is supported at a frictionless pivot..if each of the 2 hanging objects on the left weighs 1.0N, how much does the clay way. ( a picture shows the 2 hanging objects on one side is heavier than the clay(which is high in the air).. i know the answer is 1.0 N but what's the equationsTo find the weight of the clay, you need to calculate the sum of all forces acting on the clay. Since the beam is in equilibrium, the sum of all forces should be equal to 0. The beam is supported by three forces, the weight (Fc) of the clay, the load (Fl) hanging on the left
 
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