How Do You Calculate the Frequency for a Mass to Orbit on a Frictionless Table?

AI Thread Summary
To calculate the frequency for a 1 kg mass to orbit on a frictionless table while keeping a 4 kg hanging mass at rest, start by applying Newton's second law to both masses. The centripetal acceleration of the 1 kg mass can be expressed as v^2/r, where r is the radius of the circular path (75 m). The tension in the cord must equal the weight of the hanging mass (4 kg), which provides the necessary force to maintain the circular motion. Use the relationship between velocity, radius, and period (v = 2πR/T) to find the frequency (f = 1/T). Understanding these principles will guide the calculation of the required frequency for the system to remain in equilibrium.
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Homework Statement


hi guys i need help solvign the following problem.

A mass 1kg on a frictionless table is attached to a hanging mass 4kg by a cord through a hole in the table. Find the frequency with which 1KG mass must move for 4kg to stay at rest, if the radius of the circle is 75m.



http://img32.imageshack.us/img32/9601/phyp.jpg

Homework Equations



m(v2/R

v = 2piR/T

T = 1/f

ac = 4pi * R/ T2

The Attempt at a Solution




Well i don't really know where to start as there is no angle given so i found the circumference first. which is 4.71 or 471 cm.

I think that is useless because i don't know what to do with it. I know i need to find ac first before i can find the frequency right?

So can someone give me a hit on the first step or where to start?

thanks.
 
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This is more of a force problem than a harmonic motion problem. Try writing out Newton's second law for both the 1 kg mass and the 4 kg mass. Remember that for an object moving in a circle at speed v, acceleration=v^2/r. Also note that the tension in any massless rope is constant throughout the rope.
 

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