- #1
mcintyre_ie
- 66
- 0
I’d appreciate some help with the following question:
The diagram shows a light inextensible string
having one end fixed at O , passing under
a movable pulley A of mass 8 kg and
then over a fixed light pulley B.
The other end of the string is attached to
a light pulley C, of negligible mass.
Over pulley C , a second light inextensible
string is passed having particles of mass 2 and
4 kg respectively, attached. All pulleys are smooth.
(i) Show in a diagram the forces acting on each pulley when the system is released from rest.
(ii) Find the acceleration of
pulley A
pulley C
each particle.
Heres a link to the work I've done so far which i think i have correct (Ive spent about an hour working on my equations, but theyre not making much sense).
Work So Far
The correct answers are:
(ii)
Pulley A - g/11
Pulley C - 2g/11
Particles - g/11 and 5g/11
Im unsure if my accelerations are correct - would i be right in saying that for every 1m Pulley A falls, pulley C rises two metres, along with both particles? So that would mean pulley C has twice the acceleration of Pulley A? And both particles move with the acceleration f +/- 2a?
Thanks in advance for any help.
The diagram shows a light inextensible string
having one end fixed at O , passing under
a movable pulley A of mass 8 kg and
then over a fixed light pulley B.
The other end of the string is attached to
a light pulley C, of negligible mass.
Over pulley C , a second light inextensible
string is passed having particles of mass 2 and
4 kg respectively, attached. All pulleys are smooth.
(i) Show in a diagram the forces acting on each pulley when the system is released from rest.
(ii) Find the acceleration of
pulley A
pulley C
each particle.
Heres a link to the work I've done so far which i think i have correct (Ive spent about an hour working on my equations, but theyre not making much sense).
Work So Far
The correct answers are:
(ii)
Pulley A - g/11
Pulley C - 2g/11
Particles - g/11 and 5g/11
Im unsure if my accelerations are correct - would i be right in saying that for every 1m Pulley A falls, pulley C rises two metres, along with both particles? So that would mean pulley C has twice the acceleration of Pulley A? And both particles move with the acceleration f +/- 2a?
Thanks in advance for any help.