Solving Circular Motion: Find Time & Position of Breaking String

AI Thread Summary
To determine when the string will break and the position of the mass at that moment, start by analyzing the given parameters: a 5kg mass, a string length of 1.3 meters, an initial velocity of 4m/s, and an angular acceleration of 0.8 rad/s². The maximum tension the string can withstand is 230N, which will be critical in calculating the breaking point. Use the equations for radial acceleration and the relationship between linear and angular velocity to find the time at which the tension exceeds the maximum limit. Additionally, consider the vertical spinning motion, as it affects the forces acting on the mass. Solving these equations will yield the time of string breakage and the corresponding position of the mass.
fenixxishot
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All right i have a big test on monday in physics and the only thing my proffesor gave to me to study was this and i really don't know where to begin

A boy spins a 5kg mass on a string of length 1.3 meters. He initially spins it with a constant linear velocity of 4m/s. At time=0 , it is at 3pi/4 radians, and he begins to give it a constant angular acceleration of a = .8rad/s/s. The maximum tension the string can withstand without breaking is 230N.

At what time will the string break? at what position will the mass be when this happens?

He does give a hint which to my closed mind does not help (w=v/r , a=w^2(r)

Ohh i think he said that is was spining vertically not horizontally
Thanks for you time
 
Physics news on Phys.org
Start by writing down the data, and the kinematic equations (radial acceleration) for circular motion in curvilinear coordinates. Now start by analyzing the case when t=0.
 

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