A person of mass M-72kg is standing part way up a ladder leaning against a frictionless...

 

Transcribed Image Text:

A person of mass M-72kg is standing part way up a ladder leaning against a frictionless wall. The ladder can be either be kept in place by a frictional force F acting on the bottom of the ladder, or by a torque T applied to the top end of the ladder (at the point where the ladder touches the wall). The total length of the ladder is a=2.6m, whereas the distance of the person from the bottom of the ladder is b-1.2m. At rest, the ladder forms an angle =12degrees with the vertical wall, as indicated in the figure. Neglect the mass of the ladder in your calculations. Mg Using the principle of virtual work, determine the moment M that needs to be applied at the top of the ladder to keep the system in equilibrium (assume F=0) and express your answer in Nm. A person of mass M-72kg is standing part way up a ladder leaning against a frictionless wall. The ladder can be either be kept in place by a frictional force F acting on the bottom of the ladder, or by a torque T applied to the top end of the ladder (at the point where the ladder touches the wall). The total length of the ladder is a=2.6m, whereas the distance of the person from the bottom of the ladder is b-1.2m. At rest, the ladder forms an angle =12degrees with the vertical wall, as indicated in the figure. Neglect the mass of the ladder in your calculations. Mg Using the principle of virtual work, determine the moment M that needs to be applied at the top of the ladder to keep the system in equilibrium (assume F=0) and express your answer in Nm.