Centre Of Mass Of Uniform Semi Circular ...

Centre Of Mass Of Uniform Semi Circular Ring

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Find the coordinates of centre of mass of a uniform semicircular closed wire frame with respect to the origin which is at its centre. Radius of the circular portion is R

`((4R)/(3pi),0)`

`((2R)/(pi+2),0)`

`((2R)/(pi),0)`

`(R/(pi+2),0)`

A particle of mass m is placed on centre of curvature of a fixed, uniform semi-circular ring of radius R and mass M as shown in figure. Calculate: (a) interaction force between the ring and the particle and (b) work required to displace the particle from centre of curvature to infinity.

`(a) F=(2GM)/(piR^(2)), (b) (GM)/R`

`(a) F=(2GMm)/(pi^(2)R) , (b) (GMm)/(R^(2))`

`(a) F=-(2GMm)/(piR^(2)) (b) -(GMm)/R`

`(a) F=(2GMm)/(piR^(2)) (b) (GMm)/R`

The moment of inertia of a uniform semi - circular disc about an axis passing through its centre of mass and perpendicular to its plane is ( Mass of this disc is M and radius is R ) .

`(MR^2)/2-M((2R)/pi)^2`

`(MR^2)/2-M((4R)/pi)^2`

`(MR^2)/2+M((4R)/(3pi))^2`

`(MR^2)/2+M((2R)/(pi))^2`

Centre Of Mass Of Uniform Semi Circular Ring

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Find the coordinates of centre of mass of a uniform semicircular closed wire frame with respect to the origin which is at its centre. Radius of the circular portion is R

A particle of mass m is placed on centre of curvature of a fixed, uniform semi-circular ring of radius R and mass M as shown in figure. Calculate: (a) interaction force between the ring and the particle and (b) work required to displace the particle from centre of curvature to infinity.

The moment of inertia of a uniform semi - circular disc about an axis passing through its centre of mass and perpendicular to its plane is ( Mass of this disc is M and radius is R ) .

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