Question

6. A ladder of length 2d=4m rests against a frictionless wall as shown. A weight of W is attached at point C. Determine the internal forces at cross-sections aa and bb, the mid points of AC and CB in terms of W.

Answer 1

drawing stetch of a ladder rests First D against a Friction ess wall s shown belous or 3 taddet at equilibrium positian 2 m It is seen that coe Pficien oF Friction betweer there 's no crictional orce orce on tbe other hand at he end as shawn acting at end B. on fiaure C) on next page there ss siction betwcen ladder end horion ta surface e tw ori on tal sdr face The ladder s at uilibri equilibri um PoSition which is due to Fricti ona) Sorce The forces actinglad der are s houbn

0 ormal force From vertical wal 1 Force from the normal veaction friction betwe en lad der s wal ) fri The forces acting an ladder are )Wesaht W attac ladder 2),N-, The γertical wall (being smooth) exerts ched on the normal reaclion force at end A he (adder メら a osition due to rictio between laddet horizonta/ surface. The hor-qonta wall exerts force F on ladd uhich is the resolved soto two camponents (i) Frict: rri, c ti ơn ol force -route to direction of ladder movement. İİ) FNごNormal re ac tion exe rted by horizon tal wal) on ladder As ladder ss in equ-ilibrium「rest], these three forces showld meet at ogle point o

ag e Resolvioa the mentioned forces along the ladder axis Forces acting at b-b section of lad det F b kad der an eqilibriu a. n Now Force at section a-a 95

Along Ta douo ward direction lad det 0 Along ladder 、but Vertical derechi