Angular velocity, linear acceleration?

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To determine the linear acceleration of the free end of a swinging rod, one must first calculate the angular acceleration using torque, considering the gravitational force acting at the center of mass. The relevant equations include those for torque and angular motion, which can be found in standard physics textbooks. After establishing the angular acceleration, it can be converted to linear acceleration at the rod's extremity. Participants emphasize the importance of independently gathering equations and attempting the problem before seeking assistance. Engaging with the material is crucial for understanding the concepts involved.
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.
 

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