Find Forces Over a Disk - 65 Characters

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Homework Help Overview

The problem involves a pulley system with a disk, where block A and block B have different masses. The objective is to find the speed of block B after it falls a certain distance and the time taken for this drop. The context includes concepts of rotational dynamics and forces acting on the system.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss using both energy methods and force analysis to solve the problem. The original poster expresses a desire to understand the force approach, particularly how to relate torque to the forces acting on the blocks. Others suggest considering energy conservation as an alternative method.

Discussion Status

The discussion is exploring different methods to approach the problem, with some participants providing guidance on using free body diagrams and Newton's laws. There is an acknowledgment of the need to understand both energy and force methods, but no consensus has been reached on a single approach.

Contextual Notes

Participants note the importance of understanding rotational dynamics and the moment of inertia for the disk, as well as the friction involved between block A and the surface. There is a mention of the original poster's lack of experience with rotational forces, which may influence their approach.

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Homework Statement



http://i.imgur.com/EhPmE.png

The pulley(disk) has a radius R and a mass m the rope does not slip over the pulley and the pulley spins on a frictionless axle. the coefficient of kinetic friction between block A and the surface is μk. the system is released from rest and block B descends. black A has mass 2m and block B has mass m

given [R m h μk]

find the speed of block B after falling distance h
the time to drop distance h

Homework Equations


τ = I α

Idisk = mR^2

α = a/R

The Attempt at a Solution



I can do the basic non rotational forces no problem. I don't have any experience messing with rotational force but have seen the torque = I alpha formula.

τ = mR^2 (a / R)
= mRa

i don't know how to relate this torque(assuming it's even right :p) back into x y forces in the form of tensions to tie the entire problem together. I am fairly comfortable with using energy but I need to be comfortable with using forces as well and this question is asking for time anyways, so it will likely make things easier in the long run... Thanks for any help.
 
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To find the speed, you don't need to think about the forces, just the energy. What is the energy of a disk spinning about it's axis?
 
1/2 I omega^2

I want to do it by forces for the sake of knowing how. need to know how to solve both ways for tests.
 
Moment of inertia of a disk is mr^2/2.
For the force method, draw free body diagrams of each block and the pulley, and use Newton's 2nd law on each. For the pulley, its the 2nd law of rotational motion.
 

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