A uniform horizontal signboard long weighs and is hinged to a wall at one end

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A uniform horizontal signboard

2.0\,\text{m}

long weighs

150\,\text{N}

and is hinged to a wall at one end. The other end is supported by a cable that makes an angle of

30^{\circ}

above the board. If the maximum allowable tension in the cable is

200\,\text{N}

, determine the minimum distance from the hinge at which the cable can be attached along the board so that the board remains horizontal.