Angular velocity, linear acceleration?

silentshimmer
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A rod of mass M, length L, and uniform density and thickness swings around a frictionless pivot at one end of the rod; the other end is free. The rod is held at angle θ below the horizontal and then released with no initial angular velocity, ω0=0. Find the linear acceleration a of the rod's free end immediately after the rod is released.
 
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silentshimmer said:
A rod of mass M, length L, and uniform density and thickness swings around a frictionless pivot at one end of the rod; the other end is free. The rod is held at angle θ below the horizontal and then released with no initial angular velocity, ω0=0. Find the linear acceleration a of the rod's free end immediately after the rod is released.

Use torque to find the angular acceleration (gravity will act at the center of gravity of the object). Then use that to find the linear acceleration at the extremity.
 
what equations do i need?
 
silentshimmer said:
what equations do i need?

Well, you should look them up in your textbook. We can help people with assignments but they have to do most of the work and the first thing is to gather the necessary equations and take a stab at the problem.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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