Linear and Rotational Motion Question (really struggling)

AI Thread Summary
A 60kg load is being accelerated vertically from 3 to 6 m/s over a distance of 6 meters, with a friction resistance of 50N. The pulling force in the rope must account for both the load's weight and the friction, leading to the equation F = Mg - Ma, where the mass and acceleration are considered. The work done is calculated using the total force multiplied by the distance, resulting in a value of 1671.6J. For average power, the formula requires the work done divided by the time taken, but the user is struggling to substitute the correct values. Clarification on systematic approaches to find acceleration and total force is needed for further progress.
Dan_fitz91HNC
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Linear and Rotational Motion


A load of mass 60kg is hoisted vertically by means of a light rope running over a pulley and is accelerated from 3 to 6m/s while traveling through a distance of 6 meter. If the resistance due to friction is 50N determine

A) The pulling force in the rope
B) The work done
C) Average power required to accelerate this load



So far all i have is
F=Mg-Ma=M(g-a)
Do i need to include my 50N friction resistance?

i have F=60(9.81-6)= 228.6N

For my work done i have
Work done=ForcexDistance?

Which i work out to be W.D.=(228.6+50)x6=1671.6W

For average power i have
Average power=W/t
and intera torque =Ia
However i don't know whaere to substitute in the values

Im really stuuggling with this question and its importan for me to get correct if i want to progress onto the next course. Any hints will be much appreciated.
Thankyou
 
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Hi Dan_fitz91HNC! Welcome to PF :smile:
Dan_fitz91HNC said:
… So far all i have is
F=Mg-Ma=M(g-a)
Do i need to include my 50N friction resistance?

i have F=60(9.81-6)= 228.6N

(where did the 6 come from? :confused:)

Sorry, but you need to be more systematic. :redface:

First, find the acceleration, using one of the standard constant acceleration formulas.

Then you can use F = ma (and yes, you have to include all the forces in F). :wink:

What do you get? :smile:
 
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