A straight rod of length $L$ has one of its ends at the origin and the other at $x = L$. If the mass per unit length of the rod is given by $Ax$ (where $A$ is a constant), then where is its mass centre from origin ?
A straight rod of length $L$ has one of its ends at the origin and the other at $x = L$. If the mass per unit length of the rod is given by $Ax$ (where $A$ is a constant), then where is its mass centre from origin ?
- A
$L/3$
- B
$L/2$
- C
$2\, L/3$
- D
$3\, L/4$
Similar Questions
When a uniform solid sphere and a disc of the same mass and of the same radius rolls down a rough inclined plane from rest to the same distance, then the ratio of the time taken by them is
When a uniform solid sphere and a disc of the same mass and of the same radius rolls down a rough inclined plane from rest to the same distance, then the ratio of the time taken by them is
What is the moment of inhertia of a solid sphere of radius $R$ and density $\rho $ about its diameter ?
What is the moment of inhertia of a solid sphere of radius $R$ and density $\rho $ about its diameter ?
If the density of material of a circular plate and a square plate as shown is same, the centre of mass of the composite system will be
If the density of material of a circular plate and a square plate as shown is same, the centre of mass of the composite system will be
A particle of mass $= 5\ units$ is moving with a uniform speed $V = 3 \sqrt 2\ units$ in the $XOY$ Plane along the line $Y = X+4 $ . The magnitude of the angular momentum of the particle about the origin is ...... $unit.$
A particle of mass $= 5\ units$ is moving with a uniform speed $V = 3 \sqrt 2\ units$ in the $XOY$ Plane along the line $Y = X+4 $ . The magnitude of the angular momentum of the particle about the origin is ...... $unit.$
A mass $‘m’$ is supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R$. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?
A mass $‘m’$ is supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R$. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?