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 41
NTA MOCK TESTS|Exercise PHYSICS|25 Videos
NTA JEE MOCK TEST 43
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 42-PHYSICS

A stationary object is released from a point P a distance 3R from the ...
Text Solution
|
A point source of heat of power P is placed at the centre of a thin sp...
Text Solution
|
A vertical closed cylinder is separated into two parts by a frictionle...
Text Solution
|
Consider a toroid of circular cross - section of radius b, major radiu...
Text Solution
|
A convex lens forms an image of an object on a screen. The height of t...
Text Solution
|
A ball is projected with a speed of 2ms^(-1) with respect to a trolley...
Text Solution
|
A cube of mass m is placed on top of a wedge of mass 2m, as shown in f...
Text Solution
|
The radius of germanium (Ge) nuclide is measured to be twice the radiu...
Text Solution
|
The rediation emitted when an electron jumps from n = 3 to n = 2 orbi...
Text Solution
|
A biconvex lens of focal length f(1)=10cm is placed 40 cm in front of ...
Text Solution
|
A uniform solid sphere of mass M and radius R is lying on a rough hori...
Text Solution
|
A black body at 200 K is found to emit maximum energy at a wavelength ...
Text Solution
|
A sperical body of mass m and radius r is allowed to fall in a medium ...
Text Solution
|
Two slits S(1) and S(2) illuminated by a white light source give a whi...
Text Solution
|
When a train approaches a stationary observer, the apparent frequency ...
Text Solution
|
Separation energy of a hydrogen like ion from its third excited state ...
Text Solution
|
A small sphere is given vertical velocity of magnitude v0=5ms^-1 and i...
Text Solution
|
Figure shows a particle mass m = 100g attaches with four identical spr...
Text Solution
|
Consider three rods of length L(1), L(2) and L(3) espectively joined i...
Text Solution
|
In the circuit of CE amplifier, a silicon transistor is used. The valu...
Text Solution
|