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April 23, 2014

April 23, 2014

Posted by **Priyanka** on Sunday, March 25, 2012 at 2:18am.

(a) Find its speed after it has fallen through a distance of 0.90 m?

(b) What is the tension in the rope?

(c) What is the acceleration of the bucket?

m/s^2

Sorry but I have no idea how to do this, so please help! Thank you.

- Physics -
**Damon**, Sunday, March 25, 2012 at 7:38amIs the cylinder solid and what is its radius? We need to know its moment of inertia if we are to find its angular acceleration and therefore the tension in the line.

- Physics -
**bobpursley**, Sunday, March 25, 2012 at 7:39amyou have a tension on the rope, twirling a cylinder. THe tension produces torque, which moves the cylinder.and , it is the cylinder which retards the bucket mass.

bucketweight*radius=MomentInertia*angularacceeration.

moment of inertia for a cylinder. Look it up.

so folve for angular acceleartion from the above.

final speed?

speed=wf*r=I*angacceleration

tension? mg-m(angularacc*r)

acceleration?

m*r*angacceleration

- Physics -
**Damon**, Sunday, March 25, 2012 at 7:45amAssume you can calculate I

alpha = angular acceleration

T r = I alpha

alpha = T r/I

a = alpha r = T r^2/I

so

T = a I/r^2

then the mass

m a = mg-T

m a = m g - (I/r^2)a

a [ m+(I/r^2)] = m g

a = m g /[ m+(I/r^2)]

- Physics -
**Priyanka**, Sunday, March 25, 2012 at 2:06pmSorry, but this is still confusing there is no radius given besides the info I have provided earlier!

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