Force of Friction w/o Coefficient of Friction Given

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SUMMARY

The discussion focuses on calculating the force of friction acting on a block (M1) on a table, given the mass of the blocks (M1 = 4.78 kg, M2 = 3.26 kg) and the acceleration due to gravity (9.8 m/s²). The user initially calculated the acceleration as 4.202 m/s² using the formula A = (V2 - V1) / (T2 - T1). The tension force is derived from the equation T = M2(-A) + M2(9.8). To find the frictional force, the user needs to determine the net force acting on M1 and subtract the tension from it.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Familiarity with kinematic equations for motion
  • Knowledge of tension in a massless pulley system
  • Basic concepts of friction and its calculation
NEXT STEPS
  • Calculate the net force acting on M1 using F = ma
  • Determine the correct tension force using T = M2g - M2a
  • Apply the friction formula F_friction = F_net - T
  • Explore the effects of different masses on the frictional force
USEFUL FOR

Physics students, educators, and anyone interested in understanding dynamics involving friction and tension in pulley systems.

stehat
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I am having trouble determining what the force of friction of the box on a table described as below:

Two blocks are arranged at the ends of a massless string. M1 is on the table. M2 is attached to another side of the rope hanging off of the side of a table with a massless pulley (90 degrees from the table).

M1= 4.78KG
M2 = 3.26 KG

When M2 has fallen through .396m, its downward speed is 1.29 m/s. Acceleration of gravity is 9.8. What is the frictional force between M1 and the table?

My first step was to find the acceleration with I figured to be 4.202. (By taking the acceleration formula A=V2-V1/T2-T1. I figured the time in this formula by using the velocity formula and solved for T.

My next step was to figure out the tension force which I think is where I am getting confused on where to go. I want to find the Tension force and subtract that from the Net force to find the force of friction, but I am having difficulty determining the net force an now I am not so sure I am figuring out the tension force correctly.

I am calculating the Tension force by taking T=M2(-A)+M2(9.8). Can you please help me finish?
 
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welcome to pf!

hi stehat! welcome to pf! :smile:

(btw, always use a small "t" for time, so as not to confuse with tension :wink:)
stehat said:
My first step was to find the acceleration with I figured to be 4.202. (By taking the acceleration formula A=V2-V1/T2-T1. I figured the time in this formula by using the velocity formula and solved for T.

i don't follow this: what formula did you use? :confused:
I am calculating the Tension force by taking T=M2(-A)+M2(9.8).

yes, M2a = M2g - T …

now do a similar F = Ma equation for the other block :smile:
 

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