A hollow cylindrical shell of radius R has mass M. It is completely filled with ice having mass m. It is placed on a horizontal floor connected to a spring (force constant k) as shown. When it is disturbed it performs oscillations without slipping on the floor. (a) Find time period of oscillation assuming that the ice is tightly pressed against the inner surface of the cylinder. (b) If the ice melts into non viscous water, find the time period of oscillations. (Neglect any volume change due to melting of ice)

A hollow cylindrical shell of radius R has mass M. It is completely fi

1.	A hollow cylindrical shell of radius R has mass M. It is completely filled with ice having mass m. It is placed on a horizontal floor connected to a spring (force constant k) as shown. When it is disturbed it performs oscillations without slipping on the floor. (a) Find time period of oscillation assuming that the ice is tightly pressed against the inner surface of the cylinder. (b) If the ice melts into non viscous water, find the time period of oscillations. (Neglect any volume change due to melting of ice)
Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :(a) 2pi <a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>((4M+3m)/(<a href="https://interviewquestions.tuteehub.com/tag/2k-300402" style="font-weight:bold;" target="_blank" title="Click to know more about 2K">2K</a>));` <br/> (<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>) ` 2pi sqrt((2M +m)/(K))`</body></html>