A thin rod AB of length a has variable mass per unit length `rho_(0) (1 + (x)/(a))` where x is the distance measured from A and `rho_(0)` is a constant.
Find the mass M of the rod.

A thin rod AB of length a has variable mass per unit length P_(0) (1 + (x)/(a)) where x is the distance measured from A and rho_(0) is a constant. Find the position of centre of mass of the rod.

A thin rod AB of length a has variable mass per unit length rho_(0) (1 + (x)/(a)) where x is the distance measured from A and rho_(0) is a constant. Find moment of inertia of the rod about an axis passing through A and perpendicular to AB.

A thin rod AB of length a has variable mass per unit length rho_(0) (1 + (x)/(a)) where x is the distance measured from A and rho_(0) is a constant. Rod is freely pivoted at A and is hanging in equilibrium when it is struck by a horizontal impulse of magnitude P at the point B. Find the angular velocity with which the rod begins to rotate.

A uniform thin rod AB of length L has linear mass density mu(x) = a + (bx)/(L) , where x is measured from A. If the CM of the rod lies at a distance of ((7)/(12)L) from A, then a and b are related as :_

A uniform thin rod AB of length L has linear mass density mu(x) = a + (bx)/(L) , where x is measured from A. If the CM of the rod lies at a distance of ((7)/(12)L) from A, then a and b are related as :_

A uniform thin rod AB of length L has linear mass density mu(x) = a + (bx)/(L) , where x is measured from A. If the CM of the rod lies at a distance of ((7)/(12)L) from A, then a and b are related as :_