Home
Class 11
PHYSICS
Four solid spheres each of diameter sqar...

Four solid spheres each of diameter `sqart5`cm and mass 0.5 kg are placed with their centers at the corners of a square of side 4cm. The moment is `Nxx10^(-4)kg - m^2` , then N is .

Text Solution

Verified by Experts

The correct Answer is:
9

`I=(2/5MR^(2))2+(2/5MR^(2)+Mx^(2))2`
`(2/5MR^(2))2+(2/5MR^(2))=(Mx^(2))2`
`=4(2/5MR^(2))+2Mx^(2)=8/5MR^(2)+2mx^(2)`
`=[8/5xx0.5xx(sqrt(5)/2)^(2)+2xx(0.5)xx84xx2)]10^-4`
`=[5/5+8]xx10^(-4)=9xx10^(-4)=Nx10^(-4)`
So, `N=9`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Linked Comprehension|28 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|2 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Interger|2 Videos

Similar Questions

Explore conceptually related problems

Four solid sphereas each of diameter sqrt(5) cm and mass 0.5 kg are placed with their centres at the corners of a square of side 4 cm . The moment of inertia of the system about the diagonal of the square is N xx 10^(-4) kg-m^(2) , the N is -

Four spheres, each of diameter 2a and mass M are placed with their centres on the four corners of a square of side b . Calculate one side of the square taken as the axis.

Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then moment of inertia of the system about an axis about one of the sides of the square is :-

Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners of a square of side 'b'. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is :

Four spheres each of mass M and diameter 2r , are placed with their centers on the four corners of a square of side a( gt 2r) . The moment of inertia of the system about one side of the square is

Four spheres,each of mass "m" and radius "r" ,are placed with their centres on the four corners of a square of side "b" .The moment of inertia of the system about any side of the square is

Four bodies of masses 2, 3, 5 and 8 kg are placed at the four corners of a square of side 2 m. The position of CM will be -

For spheres each of mass M and radius R are placed with their centers on the four corners A,B,C and D of a square of side b. The spheres A and B are hollow and C and D are solids. The moment of inertia of the system about side AD of square is