Ladder slip, Mechanical Engineering

Assignment Help:

ladder slip:

A uniform ladder having length of 7m rests against vertical wall with which it makes an angle of 45º, coefficient of friction between ladder and wall is 0.4 and that between ladder and the floor is 0.5. If a man having weight is one half of that of ladder, ascends it, how high will it be when ladder slips?

 

1148_ladder slip.png

Sol.: Let,

X = Distance between A and man, when ladder is at point of slipping.

W = Weight of ladder

Weight of man = W/2 = 0.5W

Fr1 = 0.5R                                ...(i)

Fr2 = 0.4R                                ...(ii)

Resolving forces vertically

R1  + Fr2  - W - 0.5W = 0

R1  + 0.4R2 = 1.5W                       ...(iii)

Resolving forces Horizontally

R2  - Fr1 = 0; R2  = 0.5R1                                   ...(iv)

By solving equation (iii) and (iv), we get

R2 = 0.625W, Fr2  = 0.25W

Now taking moment about the point A,

W × 3.5cos45° + 0.5W × xcos45° - R2  × 7sin45° - Fr2  × 7cos45°

By putting the value of R2  and Fr2, we get

X = 5.25m                                                    .......ANS


Related Discussions:- Ladder slip

Motion on the inclined plane when the surface is smooth, Motion on the incl...

Motion on the inclined plane when the surface is smooth: Sol:  WHEN THE SURFACE SMOOTH   The Figure given shows a body having weight W, sliding down on a smooth in

Derivation, how to find the equation for deflection of a cantilever beam su...

how to find the equation for deflection of a cantilever beam subjected to udl in terms of Airy''''s stress function

I-Section, An unsymmetrical I-Section as shown in figure below. If maximum ...

An unsymmetrical I-Section as shown in figure below. If maximum bending stress is not extend more than 40MPa in the section than find out the moment which it can bear

Determine the cutting ratio, Write the velocity relationship in orthogonal ...

Write the velocity relationship in orthogonal cutting. A bar of 75 mm dia. is reduced to 73 mm by a cutting tool while cutting orthogonally. If the mean length of cut chip is 73.5

Determine the rf on the scale, Determine the RF on the scale: A length...

Determine the RF on the scale: A length of 3 km on the ground is presented via 6 cm length on a map. Determine the RF on the scale on that it has been drawn.  RF = Length o

Resolve a force system in to single force, Resolve a force system in to sin...

Resolve a force system in to single force: Resolve a force system in to single force and a couple systems. Also explain the Equivalent force couple system. Or 'A

Superheated steam - thermodynamics, Superheate d Steam: When the dry ...

Superheate d Steam: When the dry saturated steam is heated further at constant pressure, the temperature of it rises up above the saturation temperature. This rise in tempera

Drum peel strength, what is the dimensions of drum peel strength testing fi...

what is the dimensions of drum peel strength testing fixtures

Mounting systems for the welding head-boom mounted type, Mounting Systems ...

Mounting Systems For The  Welding Head-Boom mounted type These are the most versatile type of welding systems. Normally the boom is supported by means of a column. The welding

Isothermal transformation, Isothermal Transformation: Austenite is no...

Isothermal Transformation: Austenite is not normally converted in martensite instantly but the procedure continues for some time. Various steels take various time for full tr

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd