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
CO 2 Gas Supply The CO 2 shielding gas is supplied cylinders at high pressure (140 kg / cm 2 ). Therefore pressure regulator and flow meter are connected to reduce the pressu

Drynes s Fraction of Steam: Dryness fraction of steam is factor which used to specify the quality of steam. It can be defined as the ratio of weight of dry steam W d s pr

Discover ratio of the torsional strengths: A hollow shaft of inner diameter is 1/2 × the outer diameter & a solid shaft of diameter is the external diameter of the hollow shaf

Contents of Cast Iron: Cast Iron or CI is prepared form melting pig iron in cupola furnace or in electric furnace. This furnace offers better quality. CI contains various

Give the working and consideration of a diaphragm spring single plate clutch in disengaged position. Discuss in detail the constructional features of a clutch plate. Explain the

Chisel: Chisels are used in the combination of hammer to remove metals. A set of chisels is shown in Figure. Figure: Chisel

What do you mean by Heat Transfer ? Compare (i) Work done with Heat Transfer (ii) Thermodynamics with Heat Transfer. State whether Heat Transfer is a path function or state functio

Illustrate how the Rankine cycle efficiency is improved by the following : a. Lowering the condenser pressure. b. Increasing the pressure of steam. c. Superheating the ste

Determine the elongation of plate: Q: A steel bar AB which is having uniform thickness 2 cm, tapers from 1.5 cm to 7.5 cm uniformly in a length of 50 cm. From 1 st principle

Wrought Aluminium Alloys Extrusion ingots and sheets are cast through semi-continuous direct chill method. The sheet ingots are scalped in which about 12 millimeter of ingot s