Calculate the coordinates of the centre of mass of the stand.
A small object of mass 5 kg is fixed to the rod AB at a distance of 40 cm from A .
Show that the coordinates of the centre of mass of the stand with the object are ( 22,68 ).
The stand is tilted about the edge PQ until it is on the point of toppling. The angle through which the stand is tilted is called 'the angle of tilt'. This procedure is repeated about the edges QR and RS.
Making your method clear, determine which edge requires the smallest angle of tilt for the stand to topple.
The small object is removed. A light string is attached to the stand at A and pulled at an angle of \(50 ^ { \circ }\) to the downward vertical in the plane \(\mathrm { O } x y\) in an attempt to tip the stand about the edge RS.
Assuming that the stand does not slide, find the tension in the string when the stand is about to turn about the edge RS.