a carpet of mass m,made of an inextensible material,is rolled along its length in the form of a cylinder of radius R and kept on a rough floor.if the carpet is unrolled,without sliding,to a radius R/4 ,then decrease in P.E. is

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Q. A carpet of mass M, made of an extensible material is rolled along its length in the form of a cylinder of radius R and kept on a rough floor. If the carpet is unrolled, without sliding to a radius R/2, the decrease in potential energy is

Q. A carpet of mass

m

made of inextensible material is rolled along its length in the form of a cylinder of radius

r

and kept on a rough floor. The decrease in the potential energy of the system, when the carpet is unrolled to a radius

\frac{r}{2}

without sliding is (

g =

acceleration due to gravity)

A carpet of mass $M$ made of inextensible material is rolled along its length in the form of a cylinder of radius $R$ and is kept on a rough floor. The carpet starts unrolling without sliding on the floor when a negligibly small push is given to it. Loss in potential energy due to unrolling radius changes from $R$ to $\frac{R}{2}$ is

Q. A carpet of mass

M

made of inextensible material is rolled along its length in the form of a cylinder of radius

R

and kept along a rough floor. The carpet starts unrolling without sliding on the floor when a negligibly small push is given to it. The horizontal velocity of the axis of the cylindrical part of the carpet, when its radius is reduced to

\frac{R}{2}

is :

A carpet of mass $M$ is rolled along its length in the form of a cylinder of radius $R$ and kept on a rough floor. The decrease in potential energy, if the carpet is unrolled without sliding to a radius $\frac{R}{2}$ is equal to

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