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?