Question

the foot of a ladder rests against a wall and its top is held by a rope tie.. the ladder weighs 100n and center of gravity is 0.40m length from the foot. a 150 n child hungs from a rung that is 0.20 of length from the top. determine the tension in the tie rope and the components of forces on the foot of the ladder

Answer 1

Completing Question : Length of ladder 1m 
Angle made by ladder with the vertical is (theta) .

Final Answer : 
160 \tan( \theta) \: units160tan(θ)units 
Horizontal Component of force acting on the foot of ladder : = Tension of rope 
Vertical Component : 250N 
Steps and Understanding :
1) System is in Equilibrium, 
So Net Torque about any point is 0 .

2) Let that point be Foot of ladder. 
There are forced which are giving torque to ladder. 
Tension 
Force applied by Child
Gravitational force. 

3) We will make out ne+ torque 0 to find the value of Tension. 

For Calculation see pic.