Time period of a pendulum consisting of a rod and bob

AI Thread Summary
To find the time period of a pendulum consisting of a rod and a bob, it is essential to calculate the moment of inertia of the system and determine the center of mass. The moment of inertia is critical for solving the problem, as it directly influences the pendulum's dynamics. Participants in the discussion emphasize the need for relevant equations related to moment of inertia to proceed with the calculations. Understanding these concepts is fundamental to accurately determining the pendulum's time period. The discussion highlights the importance of these calculations in solving the pendulum's motion problem.
justwild
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Homework Statement


How should I find the time period of a pendulum which is made up of a rod of length l fitted with a bob of radius r at its one end and the other end being pivoted to the wall?



2. The attempt at a solution
Actually having problem with calculating the moment of inertia of the system, which I think is the very step to solution of the problem.
 
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justwild said:
Actually having problem with calculating the moment of inertia of the system, which I think is the very step to solution of the problem.
You'll need both the moment of inertia and the centre of mass. What equations do you have for moment of inertia that might be relevant?
 
Thread 'Collision of a bullet on a rod-string system: query'

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In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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Thread 'A cylinder connected to a hanged mass'

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Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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