A uniform solid sphere of mass M and rad...

A uniform solid sphere of mass M and radius R is lying on a rough horizonal plane. A constant force `F=4Mg` acts vertically downwards at point P such that the line OP makes an angle of `60^(@)` with the horizontal as shown in the figure. The minimum value of the coefficient of friction `mu` so that sphere performs pure rolling, is

`(3)/(7)`

`(4)/(7)`

`(2)/(7)`

`(2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

NTA JEE MOCK TEST 78
NTA MOCK TESTS|Exercise PHYSICS|25 Videos
NTA JEE MOCK TEST 80
NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is

A solid cylinder of mass 8 kg and radius 50 cm is rolling down a plane inclined at an angle of 30^@ with the horizontal. The minimum value of coefficient of friction so that cylinder does not slip while rolling down the plane.

A block of mass m lying on a rough horizontal plane is acted upon by a horizontal force P and another force Q inclined at an angle theta to the vertical. The minimum value of coefficient of friction of friction between the block and the surface for which the block will remain in equilibrium is

A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination theta . The coefficient of friction between the cylinder and incline is mu . Then.

A sphere of mass m and radius R is kept on a rough horizontal floor. Constant force Facts at the top point of sphere along tangent. If there is sufficient friction on the floor to support pure rolling then calculate acceleration of sphere.

A sphere of mass m and radius r is placed on a rough plank of mass M . The system is placed on a smooth horizontal surface. A constant force F is applied on the plank such that the sphere rolls purely on the plank. Find the acceleration of the sphere.

A solid sphere of mass 10 kg is placed on a rough surface having coefficient of friction mu = 0.1 . A constant force F = 7 N is applied along a line passing through the centre of the sphere as shown in the figure. The value of frictional force on the sphere is. .

A solid spere of mass M and radius R is kept on rough surface the velocities of air (density p) around the sphere are as shown in figure Assuming R to be small and M =(4pirhoR^(2))/g kg what is the minimum value of coefficient of friction so that the sphere starts pure rolling? (Assume force due to pressure difference is acting on centre of mass of the sphere)

NTA MOCK TESTS-NTA JEE MOCK TEST 79-PHYSICS

If a body at 27^(@)C emits 0.3 watt of heat then at 627^(@)C, it will ...
Text Solution
|
One mole of a certain ideal gas obtains an amount of heat Q=1.60kJ whe...
Text Solution
|
A rectangular loop of metallic wire is of length a and breadth b and c...
Text Solution
|
Consider a collection of a large number of particles each with speed v...
Text Solution
|
A ball of mass 0.2 kg is thrown vertically upwards by applying a force...
Text Solution
|
A .^(32)P radionuclide with half - life T = 14.3 days is produced in a...
Text Solution
|
A simple pendulum is taken to 64 km above the earth's surface. Its new...
Text Solution
|
When a piece of metal is illuminated by monochromatic light of wavelen...
Text Solution
|
A large tank filled with water to a height h is to be emptied through ...
Text Solution
|
A symmetric double convex lens is cut in two equal parts by a plane co...
Text Solution
|
A uniform solid sphere of mass M and radius R is lying on a rough hori...
Text Solution
|
A silicon specimen is made into a P-type semiconductor by dopping, on ...
Text Solution
|
A lead bullet of mass 10 g travelling at 300 m//s strikes against a bl...
Text Solution
|
If Surface tension (S), Moment of Inertia (I) and Planck’s constant (...
Text Solution
|
Two identical piano wires have a fundamental frequency of 600 cycle pe...
Text Solution
|
A stone of mass 1 kg tied to a light inextensible string of lenth L=(...
Text Solution
|
For resistances are connected by an ideal battery of emf 15 V, the cir...
Text Solution
|
A non-conducting ring of radius R having uniformly distributed charge ...
Text Solution
|
In YDSE arrangement as shown in figure, fringes are seen on screen usi...
Text Solution
|
A disc of radius 0.1 m rolls without sliding on a horizontal surface w...
Text Solution
|