Can someone please help with these two related questions, I have formula but am so lost: A solid, frictionless cylinder reel of mass M = 2.77 kg and radius R = 0.385 m is used to draw water from a well. A bucket of mass m = 2.15 kg is attached to a cord that is wrapped around the cylinder.

(a) Find the tension T in the cord and acceleration a of the bucket.
T = ____________N
a = ___________m/s2

ma = −mg + T
−TR = 1/2MR2α
T= −1/2MRα = −1/2Ma

b. If the bucket starts from rest at the top of the well and falls for 2.99 s before hitting the water, how far does it fall?

Question

Can someone please help with these two related questions, I have formula but am so lost: A solid, frictionless cylinder reel of mass M = 2.77 kg and radius R = 0.385 m is used to draw water from a well. A bucket of mass m = 2.15 kg is attached to a cord that is wrapped around the cylinder.


(a) Find the tension T in the cord and acceleration a of the bucket. 
T = 	 ____________N 
a = 	 ___________m/s2
	
	

ma = −mg + T
−TR = 1/2MR2α
T= −1/2MRα = −1/2Ma

b. If the bucket starts from rest at the top of the well and falls for 2.99 s before hitting the water, how far does it fall?

anonymous · Answer

Formula for b= Δy = v0t + 1/2at2

And 

A hollow cylinder of mass 0.104 kg and radius 3.50 cm has a string wrapped several times around it, as shown in Figure d. A string is attached to a rigid support and the cylinder allowed to drop from rest. 
(a) Find the acceleration of the cylinder.
aCylinder =  _____________m/s2

(b) Find the speed of the cylinder when a meter of string has unwound off of it.
v|Cylinder| =__________  m/s