The discussion revolves around understanding the equation for torque in a system involving two blocks and a pulley. Participants are exploring the dynamics of the system, particularly how forces and torques interact.
Several participants have provided insights into applying Newton's second law to the blocks and the pulley, suggesting a combination of equations to solve for unknowns. There is ongoing exploration of the relationship between torque and linear acceleration, and how to incorporate the moment of inertia of the pulley into their equations.
Participants are navigating constraints related to the assumptions about tension in the ropes and the rotational inertia of the pulley, particularly in the context of different shapes (hollow vs. solid cylinders). There is a noted lack of consensus on the correct approach to integrate torque with Newton's laws.
You cannot assume that the tension in the ropes equals the weight of the blocks. If that were true, the masses would be in equilibrium, not accelerating.TBBTs said:
Not sure what you're doing here.TBBTs said:
Torque is only relevant for the pulley. The forces creating the torque on the pulley are the rope tensions on each side of the pulley.
For the two blocks, you'd use the usual form of Newton's 2nd law: ΣF = ma
To solve the second part, you'll need to replace the rotational inertia of the pulley with that of a hollow cylinder. Then you'd have to determine whether that causes the acceleration to increase, decrease, or remain the same. (Hint: How does the rotational inertia of a hollow cylinder compare to that of solid cylinder?)TBBTs said:
