Calculating Linear and Angular Motion in a Drum and Cable System

[Ebony]

Hi, I'm studying a hnc in mechanical engineering.
One of the maths problems I have been given involves a drum and cable. It states the diameter(0.8m), mass (3kg), initial velocity (0m/s), time to descend (0.5secs) and distance traveled (0.25m)

I need to find:
A)final linear velocity of the load
B) linear acceleration of the load
C) final angular velocity of the drum
D) angular acceleration of the drum
E) tension force of the cable
F) torque applied to the drum.

So far, I've got linear and normal velocity and acceleration wrapped around my head. I did a problem similar to this last year with a mass on either side of the pulley, but I'm struggling on how to change that to only having one mass to calculate.

Am I right in thinking V= u+at
V= 0+(2×0.5)
V=1m/s

A=2s/t(squared)- 2u/t
A= 2m/s (squared)?

Like I said, I'm just a little confused as to whether I'm using the correct formulas to find the basics before I start doing the rest of the question.

Thanks in advance for any guidance! :)

 

[haruspex]

Am I right in thinking V= u+at
V= 0+(2×0.5)
V=1m/s

A=2s/t(squared)- 2u/t
A= 2m/s (squared)?

Looks fine.

 

[CWatters]

I did a problem similar to this last year with a mass on either side of the pulley, but I'm struggling on how to change that to only having one mass to calculate.

Hint. This problem is actually easier than last years due to the amount of information provided about how it moves.

 

[KCarrington]

Hi, I'm studying a hnc in mechanical engineering.
One of the maths problems I have been given involves a drum and cable. It states the diameter(0.8m), mass (3kg), initial velocity (0m/s), time to descend (0.5secs) and distance traveled (0.25m)

I need to find:
A)final linear velocity of the load
B) linear acceleration of the load
C) final angular velocity of the drum
D) angular acceleration of the drum
E) tension force of the cable
F) torque applied to the drum.

So far, I've got linear and normal velocity and acceleration wrapped around my head. I did a problem similar to this last year with a mass on either side of the pulley, but I'm struggling on how to change that to only having one mass to calculate.

Am I right in thinking V= u+at
V= 0+(2×0.5)
V=1m/s

A=2s/t(squared)- 2u/t
A= 2m/s (squared)?

Like I said, I'm just a little confused as to whether I'm using the correct formulas to find the basics before I start doing the rest of the question.

Thanks in advance for any guidance! :) View attachment 232243

Hi ebony did you manage to complete this..I have the same question and don't know where to begin the response you are asking about I assume is the answer to part a and b...

 

[Hharl]

Hi,

I am just wondering if somebody can help me with this question also. I have been given it, but the time to descend is unknown. I have the other values, with the distance travelled, mass, initial velocity of 0m/s, and the drum diameter. It says to assume constant acceleration, but I am unsure where to start.

Thank you in advance!

 

[PeroK]

Hi,

I am just wondering if somebody can help me with this question also. I have been given it, but the time to descend is unknown. I have the other values, with the distance travelled, mass, initial velocity of 0m/s, and the drum diameter. It says to assume constant acceleration, but I am unsure where to start.

Thank you in advance!

It might be best to start a new thread. In any case, you need to show us your own best attempt. See the homework guidelines:

https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.686781/

 

[dumdiddydumdum]

Hi,

I am just wondering if somebody can help me with this question also. I have been given it, but the time to descend is unknown. I have the other values, with the distance travelled, mass, initial velocity of 0m/s, and the drum diameter. It says to assume constant acceleration, but I am unsure where to start.

Thank you in advance!

Hello, i had the same problem and it turns out at the end of the paper there is a table with related values in so have a look at the end of the paper and see if you have the same table.

i.e. My assignment says "A" secs and all I have is Mass, diameter of the drum and initial velocity.
The table at the end of the paper states value for a is 1.96.

My lecturer said the purpose of this was in previous years all students have been given different values to prevent them from copying each other directly. This year we all have the same values he just hasn't done away with the table.