A string is wrapped several times on a cylinder of mass M and radius R. The cylinder is pivoted about its axis of symmetry. A block of mass m tied to the string rests on a support positioned so that the string has shown. Now, the block is released Just before the string gets taut, kinetic energy of the system is E_(0). Just after taut kinetic energy of the system, velocity of m and angular velocity of cylinder are E_(1),V_(1) and omega_(1) respectively. Then,

A string is wrapped several times on a cylinder of mass M and radius R

1.	A string is wrapped several times on a cylinder of mass M and radius R. The cylinder is pivoted about its axis of symmetry. A block of mass m tied to the string rests on a support positioned so that the string has shown. Now, the block is released Just before the string gets taut, kinetic energy of the system is E_(0). Just after taut kinetic energy of the system, velocity of m and angular velocity of cylinder are E_(1),V_(1) and omega_(1) respectively. Then,
Answer» `E_(0)=" mgh"` `E_(1)=(E_(0))/(1+(M)/(2M))` `V_(1)=(SQRT(2"gh"))/(1+(M)/(2m))` `omega_(1)=(sqrt(2"gh"))/(R(1+(M)/(2m)))` ANSWER :A::B::C::D