Moments

A non-uniform rod AB of length 5 m and mass 8 kg hangs horizontally from two vertical strings attached at A and B. The tension in the string at A is 31.36 N and the tension at B is 47.04 N. (a) Find the distance of the centre of mass of the rod from A. (b) A particle of mass m kg is attached at A so that the two tensions become equal. Find m. (c) Instead, a particle of mass 2 kg is attached to the rod. The string at B breaks if its tension exceeds 60 N. Find the range of distances from A at which the particle can be placed without the string at B breaking.