Find the minimum height of the obstacle ...

Find the minimum height of the obstacle so, that the sphere can stay in equilibrium.

`R/(1+costheta)`

`R/(1+sintheta)`

`R(1-sintheta)`

`R(1-costheta)`

Text Solution

Verified by Experts

The correct Answer is:

The sphere is on the verge of toppling when a line a action of weight passes through the edge.
`costheta=(R-h)/Rimplies h=R-Rcostheta`

Topper's Solved these Questions

RIGID BODY DYNAMICS 1
CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|9 Videos
RIGID BODY DYNAMICS 1
CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|28 Videos
RIGID BODY DYNAMICS 1
CENGAGE PHYSICS ENGLISH|Exercise Subjective|13 Videos
PROPERTIES OF SOLIDS AND FLUIDS
CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|2 Videos
RIGID BODY DYNAMICS 2
CENGAGE PHYSICS ENGLISH|Exercise Interger|2 Videos

Similar Questions

Explore conceptually related problems

On an inclined plane, two conducting rails are fixed along the line of greatest slope. A conducting rod AB is placed on the radils so that it is horizontal. A vertically upward uniform magnetic field is present in the region. A current i flows through AB from B to A. The mass of AB is m and the coefficient of friction between the rod and rails is mu . Find the minimum and maximum value of B, so that the rod can stay in equilibrium. Assume that mu lt tan theta

A closed right circular cylinder has volume 539/2 cubic units. Find the radius and the height of the cylinder so that the total surface area is minimum.

A sphere of mass 20 kg is suspended by a metal wire of unstretched length 4 m and diameter 1 mm. When in equilibrium there is a clear gap of 2 mm between the sphere and the floor. The sphere is gently pushed aside so that the wire makes an angle theta with the vertical and is released. Find the maximum value of theta so that the sphere does not rub the floor. young's modulus of the metal of the wire is 2.0xx10^11 Nm^-2 . Make appropriate approximation.

The minimum number of non coplanar forces that can keep a particle in equilibrium is

Find the minimum height of a mirror where one can see his full image.

A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water ?

The minimum number of unequal forces in a plane that can keep a particle in equilibrium is

A sphere of mass M rolls without slipping on the inclined plane of inclination theta . What should be the minimum coefficient of friction, so that the sphere rolls down without slipping ?

A block is released from rest at the top of an inclined plane which later curves into a circular track of radius r as shown in figure. Find the minimum height h from where it should be released so that it is able to complete the circle.

What should be minimum length of tube so that third resonancee can also be heard .

CENGAGE PHYSICS ENGLISH-RIGID BODY DYNAMICS 1-Single Correct

A square plate of mass M and edge L is shown in the figure. The moment...
Text Solution
|
The figure shows a uniform rod lying along the X-axis. The locus of al...
Text Solution
|
Find the minimum height of the obstacle so, that the sphere can stay i...
Text Solution
|
A sphere is placed rotating with its centre initially at rest in a cor...
Text Solution
|
In the figure shown, the instantaneous speed of end A of the rod is v ...
Text Solution
|
A uniform rod of mass m and length l is fixed from Point A, which is a...
Text Solution
|
In the pully system shown, if radii of the bigger and smaller pulley a...
Text Solution
|
A planar object made up of a uniform square plate and four semicircula...
Text Solution
|
An equilateral prism of mass m rests on a rough horizontal surface wit...
Text Solution
|
A uniform disc of radius R lies in x-y plane with its centre at origin...
Text Solution
|
A rectangular block of mass M and height a is resting on a smooth leve...
Text Solution
|
A uniform rod of mass 15 kg is held stationary at 37 degree with the h...
Text Solution
|
Figure shown two pulley arrangments for lifting a mass m . In case-1, ...
Text Solution
|
Two uniform boards, tied together with the help of a string, are balan...
Text Solution
|
A slender rod of mass m and length L is pivoted about a horizontal axi...
Text Solution
|
Two painters are working from a wooden hoard 5 m long suspended from t...
Text Solution
|
In Fig. a massive rod AB is held in horizontal position by two massles...
Text Solution
|
A rod of length L is held vertically on a smooth horizontal surface. T...
Text Solution
|
A uniform bar AB of mass m and a ball of the same mass are released fr...
Text Solution
|
Find force F required to keep the system in equilibrium. The dimension...
Text Solution
|