Inelastic collision of a projectile with a pendulum

AI Thread Summary
The discussion revolves around calculating the maximum speed of a projectile that can collide with a pendulum without breaking the wire. The scenario involves a 20 kg wooden ball hanging from a 2.0 m wire with a maximum tension of 400 N. Key concepts include the use of centrifugal force and conservation of energy to analyze the system. Participants express confusion regarding the angle of the pendulum and the conditions under which maximum tension occurs. The conversation emphasizes the need to determine the forces acting on the pendulum at various angles to solve the problem effectively.
mjolnir80
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Homework Statement


a 20 kg wood ball hangs from a 2.0 m long wire. the maximum tension the wire can withstand without breaking is 400 n. a 1.0 kg projectile traveling horizontally hit and embeds itself in a the wood ball. what is the largest speed this projectile can have without causing the cable to break

Homework Equations





The Attempt at a Solution


im kind of stumped with this one
some help would really be appreaciated :)
 
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hint - centrifugal force for the tension in the wire, conservation of energy for the speed
 
im having problems dealing with the angle of the pendulum as it spins
if we have the y-axis in the direction of centrifugal force the sum of the forces would be:
ma = 400N - mgCos(angle)
could i consider the ball when its at a 90 degree angle to get rid of that thing
and at what point in the rotation would the maximum tension occur at anyways?
 
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