A semicircular lamina of mass m and radi...

A semicircular lamina of mass `m` and radius `'r'` and centre `C`. Its center of mass is at a distance `'x'` from `C`. Its moment of inertia about an axis through its center of mass and perpendicular to its plane is:

`1/2mr^(2)`

`1/4mr^(2)`

`1/2mr^(2)+mx^(2)`

`1/2mr^(2)-mx^(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

RIGID BODY MOTION
ANURAG MISHRA|Exercise MCQ_TYPE|41 Videos
RIGID BODY MOTION
ANURAG MISHRA|Exercise COMPREHENSION_TYPE|29 Videos
RIGID BODY MOTION
ANURAG MISHRA|Exercise MATCH THE COLUMN|12 Videos
IMPULSE AND MOMENTUM
ANURAG MISHRA|Exercise matching|3 Videos
UNIT AND DIMENSIONS
ANURAG MISHRA|Exercise Matching Type Problem|4 Videos

Similar Questions

Explore conceptually related problems

A disc of mass m and radius R has a concentric hole of radius r . Its moment of inertia about an axis through its center and perpendicular to its plane is

A thin ring has mass 0.25 kg and radius 0.5 m. Its moment of inertia about an axis passing through its centre and perpendicular to its plane is ………… .

A thin disc of mass M and radius R has mass per unit area sigma( r) =kx^(2) where r is the distance from its centre. Its moment of inertia about an axis going through its centre of mass and perpendicular to its plane is:

Moment of inertia of a uniform quarter disc of radius R and mass M about an axis through its centre of mass and perpendicular to its plane is :

A disc of radius R has a concentric hole of radius R /2 and its mass is M. Its moment of inertia about an axis through its centre and perpendicular to its plane, is

A solid cylinder has mass M radius R and length / its moment of inertia about an axis passing through its centre and perpendicular to its own axis is

A uniform disc of mass 5 kg has a radius of 0.5 m. Its moment of inertia about an axis passing through a point on its circumference and perpendicular to its plane is

ANURAG MISHRA-RIGID BODY MOTION-SCQ_TYPE

A translational velocity v(0) is imparted in a horizontal direction to...
Text Solution
|
A sphere of mass m is given some angular velocity about a horizontal a...
Text Solution
|
A semicircular lamina of mass m and radius 'r' and centre C. Its cente...
Text Solution
|
A disc of mass m0 rotates freely about a fixed horizontal axis through...
Text Solution
|
A plank P is placed on a solid cylinder S, which rolls on a horizontal...
Text Solution
|
A thin wire of length L and uniform linear mass density rho is bent in...
Text Solution
|
A round uniform body of radius R, mass M and moment of inertia 'I' rol...
Text Solution
|
A thin rod of mass m and length l is hinged at the lower end to a leve...
Text Solution
|
A cubical block of side L rests on a rough horizonta surface with coef...
Text Solution
|
One quarter sector is cut from a uniform circular disc of radius R. Th...
Text Solution
|
A cylinder rolls up an inclined plane, reaches some height, and then r...
Text Solution
|
A circular platform is free to rotate in a horizontal plane about a ve...
Text Solution
|
Consider a body, shown in figure, consisting of two identical balls, e...
Text Solution
|
A particle undergoes uniform circular motion. About which point on the...
Text Solution
|
A disc is rolling (without slipping) on a horizontal surface. C is its...
Text Solution
|
A child is standing with folded hands at the center of a platform rota...
Text Solution
|
A particle moves in a circular path with decreasing speed . Choose the...
Text Solution
|
From a circular disc of radius R and mass 9 M , a small disc of radius...
Text Solution
|
A 'T' shaped object with dimensions shown in the figure, is lying on a...
Text Solution
|
A thin circular ring of mass m and radius R is rotating about its axis...
Text Solution
|