Frictional force acting on the ladder, Mechanical Engineering

Frictional force acting on the ladder:

A uniform ladder having length 13m and weighing 250N is placed against smooth vertical wall with its lower end 5m from wall. The coefficient of friction between ladder and floor is 0.3. Show that ladder will remain in equilibrium in the position. What is frictional force acting on the ladder at the point of contact between the ladder and the floor?

Sol.: Since the ladder is placed against a smooth vertical wall, hence there will be no friction at point of contact between the ladder and wall. Resolving all the force vertically and horizontally.

1539_Frictional force acting on the ladder.png

∑H = 0, Fr  - R2  = 0                   ...(i)

∑V = 0, R1  - 250                       ...(ii)

From the geometry of the figure, BC = 12m

By taking moment about point B,

R1  × 5 - Fr  × 12 - 250 × 2.5 = 0

Fr = 52N                                        .......ANS

For equilibrium of ladder, Maximum force of the friction available at point of contact between the ladder and floor = µR

= 0.3 × 250  = 75N                    .......ANS                     

Thus we see that amount of force of friction available at point of contact (75N) is more than force of friction required for the equilibrium (52N).  Thus, the ladder will remain in equilibrium in the position.

 

Posted Date: 10/18/2012 2:42:55 AM | Location : United States







Related Discussions:- Frictional force acting on the ladder, Assignment Help, Ask Question on Frictional force acting on the ladder, Get Answer, Expert's Help, Frictional force acting on the ladder Discussions

Write discussion on Frictional force acting on the ladder
Your posts are moderated
Related Questions
Q. What is Pipe Rack? Separation between pipe racks and process equipment provides access for operations, maintenance and to reduce involvement from adjacent fires. Process equ

what is soundness of casting.

Q. Define spot welding electrodes • To conduct the welding current to the work pieces. • To transmit to the work pieces in the weld area the amount of force needed to pro

Homogeneous and isotropic material: A homogeneous material implies that elastic properties like modulus of elasticity and Poisson's ratio of material are same everywhere in

Planning A New Airport: Elements of Airport Planning The elements of planning for a new airport are : (a)        Demand Forecast (b)       Site Selection (c)

Construction Activities for plant Construction activities, such as shoring and bracing of excavations, lifting and rigging activities and scaffolding need to be considered as p

What are the reasons of attribution of raft foundations by rigid method? The overdesign of raft foundations by rigid method can be attributed to three major reasons: a. Ther

State the types of foundations We saw the different types of foundations commonly adopted for specific situation. In actual practice the situations are not very simple both in

Calculate the magnitude of maximum bending moment: The shear force diagram for the overhanging beam is illustrated in Figure. Draw the loading diagram & bending moment diagram