Angular Acceleration Using Work and Energy Principalsby mm391 Tags: acceleration, angular, energy, principals, work 

#1
May2312, 08:56 AM

P: 61

1. The problem statement, all variables and given/known data
The chain of a workshop crane is 50 m long and has a mass of 3 kg/m. It is partially wound on a drum and the effective radius from the axis of the drum to the chain centre line is 0.2 m. The drum itself, including shaft and gear wheel has a mass of 100 kg and has a radius of gyration of 0.15 m. A steel block with a mass of 500 kg is to be lifted from a point 20 m below the level of the axis of the drum. If a torque of 1.3 kNm is applied to the drum, what will be the initial vertical acceleration of the steel block? 2. Relevant equations P.E = mgh K.E = 1/2mv^2 I = mK^2 Torque = radius * Force Work Done = F*distance F=mass* acceleration 3. The attempt at a solution 



#2
May2412, 07:42 AM

P: 61

I have just found out it is meant to be using angular and linear momentum but I a m still stuck:
Sum of moments = angular momentum Momentum = Inertia*angular velocity + mass*velocity*radius 



#3
May2512, 12:23 PM

P: 1,195

Sum of moments is not angular momentum. Sum of moments is the moment of inertia multiplied by the angular acceleration.




#4
May2512, 03:34 PM

P: 61

Angular Acceleration Using Work and Energy Principals
I solved it many thanks for your help.



Register to reply 
Related Discussions  
Angular acceleration and velocities  verification of work  Introductory Physics Homework  1  
Work and Energy  angular force with friction  Introductory Physics Homework  0  
Can you check my work for this problem dealing with Angular Acceleration and Rotation  Introductory Physics Homework  3  
Work and Energy Theorem change in acceleration  Introductory Physics Homework  7  
Rotational motion angular energy+angular acceleration  Introductory Physics Homework  4 