Find the placement for 4th mass

In summary, the problem involves balancing a meter stick with four identical masses, placed at 25 cm, 45 cm, 90 cm, and an unknown location. The equation m1r1+m2r2=m3r3=m4r4 is used to solve for the unknown location, with the assumption that the masses are identical. The value for m is unknown, but can be solved for if the equation is set up correctly.
  • #1
leighkla
1
0

Homework Statement


a meter stick is initially balanced on a fulcrum at its midpoint. you have four identical masses. three of them are placed at the following locations: 25 cm, 45 cm, and 90 cm. where should the fourth mass be placed in order to balance the meter stick?

Homework Equations


T=rxF ; m1r1+m2r2=m3r3=m4r4
each mass is identical but the problem does not give a mass.

The Attempt at a Solution

 
Last edited:
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  • #2
Please fill in the template. List any equations/principles you have been taught which you suspect are relevant and show your thinking so far.
 
  • #3
leighkla said:
each mass is identical but the problem does not give a mass.
Don't let that stop you. Just fill in the masses as an unknown m and trust that if there is no mistake in the question then m will disappear later.
leighkla said:
m1r1+m2r2=m3r3=m4r4
Is there a typo in there?
What values for r1, etc. should you plug in?
 

FAQ: Find the placement for 4th mass

What is the purpose of finding the placement for 4th mass?

The purpose of finding the placement for 4th mass is to determine the location of the fourth object in a system or experiment in order to accurately analyze and understand its impact or role within the system.

How is the placement for 4th mass calculated?

The placement for 4th mass is calculated using mathematical equations and principles, such as Newton's laws of motion, gravitational force, and vector analysis.

What factors can affect the placement of the 4th mass?

The placement of the 4th mass can be affected by various factors, such as the mass and velocity of the other objects in the system, external forces, and the shape or structure of the system.

Why is it important to accurately determine the placement of the 4th mass?

Accurately determining the placement of the 4th mass is crucial in understanding the behavior and interactions of the objects within a system. It can help predict future movements and outcomes, and aid in the development of scientific theories and models.

Are there any practical applications for finding the placement of 4th mass?

Yes, there are many practical applications for finding the placement of 4th mass, such as predicting the trajectories of objects in space, understanding the dynamics of celestial bodies, and designing efficient engineering systems.

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