A floor-mat of mass M made up of extensi...

A floor-mat of mass M made up of extensible material, is rolled along its length so as to form a cylinder of radius R and kept on a rough horizontal surface. If the mat is now unrolled, without sliding, to a radius `(R )/(2)`, the decrease in potential energy is

`1/2MgR`

`7/8MgR`

`5/8MgR`

`3/4 MgR`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PRACTICE PAPERS
NCERT FINGERTIPS|Exercise Practice Paper 2|50 Videos
PHYSICAL WORLD
NCERT FINGERTIPS|Exercise Assertion And Reason|10 Videos
SYSTEM OF PARTICLES AND ROTATIONAL MOTIONS
NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

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 graph floor. The carpet. Starts unrolling without sliding on the floor when a negligible small push is given to it. Calculate the horizontal velcoity of the axis of the cylindrical part of the carpet when its radius reduces to R//2 .

A carpet of mass M is rolled along its length so as to from a cylinder of radius R and is kept on a rough floor. When a negligibly small push is given to the cylindrical carpet, it stars unrolling itself without sliding on the floor. Calculate horizontal velocity of cylindrical part of the carpet when its radius reduces to R//2 .

A solid cylinder of mass M and radius R rolls without slipping on a flat horizontal surface. Its moment of inertia about the line of contact is ?

A solid homogeneous sphere of mass M and radius R is moving on a rough horizontal surface partly rolling and partly sliding. During this kind of motion of the sphere

A solid sphere of mass m and radius R rolls without slipping on a horizontal surface such that v_(c.m.)=v_(0) .

A rigid body of radius R and radius of gyration k rolls without slipping along a horizontal plane. Then, the ratio of its rotational energy to total energy is

A loop of mass M and radius R is rolling on a smooth horizontal surface with speed 'v'. It's total kinetic energy is

NCERT FINGERTIPS-PRACTICE PAPERS-Practice Paper 3

A block of mass m=2kg is resting on a rough inclined plane of inclinat...
Text Solution
|
The density of a solid ball is to be determined in an experiment. The ...
Text Solution
|
A floor-mat of mass M made up of extensible material, is rolled along ...
Text Solution
|
A liquid of density rho0 is filled in a wide tank to a height h. A sol...
Text Solution
|
A cyclic process ABCA is shown in the V-T diagram process on the P-V
Text Solution
|
Two pendulums differ in lengths by 22m. They oscillate at the same pla...
Text Solution
|
A body of mass 30 kg starts running rest along a ciruclar path of radi...
Text Solution
|
A long glass tube is held vertically in water . A tuning fork is struc...
Text Solution
|
A particle executes linear simple harmonic motion with an amplitude of...
Text Solution
|
A body of mass m thrown horizontally with velocity v, from the top of ...
Text Solution
|
The Poisson's ratio of a material is 0.4. If a force is applied to a w...
Text Solution
|
A particle is acted upon by a force of constant magnitude which is alw...
Text Solution
|
The maximum velocity of a particle executing simple harmonic motion is...
Text Solution
|
A particle moves in x-y plane according to the equations x= 4t^2+ 5t+ ...
Text Solution
|
Two stars of masses m(1) and m(2) distance r apart, revolve about thei...
Text Solution
|
Two projectiles A and B thrown with speeds in the ratio 1 : sqrt(2) ac...
Text Solution
|
A body executes simple harmonic motion. At a displacement x, its poten...
Text Solution
|
The pressure on the top surface of an aeroplane wing is 0.8xx 10^5 Pa ...
Text Solution
|
If pressure of CO(2) (real gas ) in a container is given by P = (RT)/...
Text Solution
|
A body is thrown up with a velocity 100ms^(-1). It travels 5 m in the ...
Text Solution
|