Rod is toppling. Find reaction force as a function of theta

AI Thread Summary
The discussion focuses on calculating the reaction force of a rod toppling from a vertical position as a function of the angle theta. Participants express confusion about solving the problem, particularly regarding the application of rigid body motion and Lagrangian mechanics. The importance of understanding constraint forces and Lagrangian multipliers is highlighted as essential for deriving the equations of motion. There is a consensus that the problem relates to concepts covered in class, despite the difficulty experienced during the exam. Overall, the conversation emphasizes the need for a solid grasp of mechanics principles to tackle such problems effectively.
NucEngMajor
Messages
21
Reaction score
0

Homework Statement


Rod of length b and mass m topples from vertical position at theta = 0. Calculate the reaction force f as a function of theta. What is the minimal and maximal values of f for theta between 0 and pi

Homework Equations


Third law?[/B]

The Attempt at a Solution


I never really worked a problem such a this in mechanics. So I was shocked to see this on my exam. I would like to know what the solution is. I had no idea how to solve. I suppose this falls under rigid body motion, but all we worked in that topic were lagrangians...
 
Physics news on Phys.org
can the rod slip on the ground?
 
NucEngMajor said:
I suppose this falls under rigid body motion, but all we worked in that topic were lagrangians...
In general, exam questions are related to the material that's been presented. So you wrote a Lagrangian for this constrained system and found the equation of motion. Did you also learn that the constraint forces follow from the Lagrangian multipliers ?
 
Thread 'Collision of a bullet on a rod-string system: query'
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...
Thread 'A cylinder connected to a hanged mass'
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...
Back
Top