A uniform cube of slide a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the face at a point directly above the centre of the face, at a height 3a/4 above the base. What is the minimum value of F for which the cube begins to topple about an edge ?

A uniform cube of slide a and mass m rests on a rough horizontal table

1.	A uniform cube of slide a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the face at a point directly above the centre of the face, at a height 3a/4 above the base. What is the minimum value of F for which the cube begins to topple about an edge ?
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :In the limiting cse normal <a href="https://interviewquestions.tuteehub.com/tag/reaction-22747" style="font-weight:bold;" target="_blank" title="Click to know more about REACTION">REACTION</a> will <a href="https://interviewquestions.tuteehub.com/tag/pass-1148402" style="font-weight:bold;" target="_blank" title="Click to know more about PASS">PASS</a> through O. The cube will <a href="https://interviewquestions.tuteehub.com/tag/topple-3224023" style="font-weight:bold;" target="_blank" title="Click to know more about TOPPLE">TOPPLE</a> about O if torque of F ecceeds the torque of <a href="https://interviewquestions.tuteehub.com/tag/mg-1095425" style="font-weight:bold;" target="_blank" title="Click to know more about MG">MG</a>.<br/><img src="https://doubtnut-static.s.llnwi.net/static/physics_images/AKS_DOC_OBJ_PHY_XI_V01_B_C07_SLV_032_S01.png" width="80%"/><br/>`rArr F((3a)/(4))gt mg((a)/(2)), rArr F gt (2)/(3)mg`<br/>So, the minimum value of F is `(2)/(3)mg`.</body></html>