Using Atwood's Machine to Measure Time Intervals

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In summary, the conversation discusses using an Atwood's machine as a timer to accurately measure a time interval of 10.0 seconds for a vertical fall of 1.30 meters. The formulas for acceleration and gravity are mentioned, and it is suggested to set the acceleration equal to a relationship between the masses of the Atwood's machine. However, it is uncertain if this is enough information to solve the problem.
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Using this site as a reference: http://hyperphysics.phy-astr.gsu.edu/hbase/atwd.html

Can somebody show me how to solve this:

Suppose you don't have a watch, or a timer, and you want to use an Atwood's machine as a timer to give an accurate time interval (for the vertical fall) of t = 10.0s. Suppose the vertical fall, y, is 1.30m. Determine values of M and m which would make t - 10s.

Some formulas

a = (2h)/t2
g= a x ((2M+m)/m)/m
 
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Find the acceleration using the formula you have.

Then set this acceleration = [tex]\frac{M-m}{M+m}*g[/tex] (taking M as the heavier mass and m as the lighter mass of the atwood machine).

this will only give a relationship between M and m. is there any more information for the problem?
 
  • #3
nope just that. I am guessing it might be sufficient just to have the relationship

i'm assuming g= 9.80
?
 

FAQ: Using Atwood's Machine to Measure Time Intervals

Atwood's Machine FAQ

Atwood's Machine FAQ

What is an Atwood's machine problem?

An Atwood's machine problem is a physics problem that involves two masses connected by a string or rope that passes over a pulley. The system is used to demonstrate the principles of mechanics and can be used to calculate the acceleration and tension of the system.

How do you solve an Atwood's machine problem?

To solve an Atwood's machine problem, you first need to draw a free body diagram of the system, labeling the forces acting on each mass. Then, you can use Newton's second law (F=ma) to write equations for the motion of each mass. Finally, you can solve for the unknown variables using algebra or calculus.

What are the assumptions made in an Atwood's machine problem?

The main assumptions made in an Atwood's machine problem are that the pulley is massless, the string is massless and inextensible, and there is no friction between the pulley and string. These assumptions allow for simplified calculations and ignore the effects of real-world factors.

Can an Atwood's machine problem be solved using conservation of energy?

Yes, an Atwood's machine problem can also be solved using the principle of conservation of energy. In this case, the potential energy of each mass is calculated at different points in the system and equated to the kinetic energy, allowing for the determination of the final velocities.

What are some real-life applications of Atwood's machine?

Atwood's machines are commonly used in elevators, cranes, and other lifting systems to demonstrate the principles of mechanics and provide a mechanical advantage. They are also used in laboratory experiments to study the effects of friction and other factors on the system.

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