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hime
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Homework Statement
A block with mass 2 kg is hanging from a string that goes over a solid disk pulley with mass mdisk = 2 kg and radius Rdisk = 0.3 m with tension T1=11.34N between them. The other end of the string is attached to a massless axel through the center of an sphere on a flat horizontal surface that rolls without slipping and has mass msphere = 3 kg and radius Rs = 0.2m with tension T2=14.04 N. The system is released from rest with acceleration of the system a= 2.7m/s.
What is the magnitude of the final angular speed of the sphere after the mass has fallen the 1 m?
Homework Equations
Let w=omega, and *a be the angular accleration
w^2=wi^2+2(*a)(Theta2-theta1)
w=v/R
*a=a/R
The Attempt at a Solution
v=sqrt(2a(xf-xi))=sqrt(2*2.7*1)=2.32m/s
w=v/Rsphere=2.32/.2=11.169rad/s*s
Did I do it right?