A uniform rod PQ of mass mkg and length 4a , the end P of the rod is hinged to a point on the vertical wall. A particle of mass mis attached to the rod at Q. One end of a light inextensible string is attached to the rod at R, where PR = 3a, and S is vertically above P. The rod rests horizontally in equilibrium on a vertical plane perpendicular to the wall and the tensi on in the string is T. 2a 3a (a) Show that 7 = mg V13 The particle of mass m at Q is removed from the rod and replaced by a particle of mass M which is attached to the rod at Q. The string breaks if the tension ex ceeds 2mg V13. Given that the string does not break (b) Show that M sm

A uniform rod PQ of mass mkg and length 4a , the end P of the rod is hinged to a point on the vertical wall. A particle of mass mis attached to the rod at Q. One end of a light inextensible string is attached to the rod at R, where PR = 3a, and S is vertically above P. The rod rests horizontally in equilibrium on a vertical plane perpendicular to the wall and the tensi on in the string is T. 2a 3a (a) Show that 7 = mg V13 The particle of mass m at Q is removed from the rod and replaced by a particle of mass M which is attached to the rod at Q. The string breaks if the tension ex ceeds 2mg V13. Given that the string does not break (b) Show that M sm