Determine the maximum value of the coefficient of friction, Mechanical Engineering

Assignment Help:

Determine the maximum value of the coefficient of friction:

A force of 200 N inclined at 60o to the horizontal is applied to the block A weighing 400 N. find out whether block A moves if the coefficient of friction is 0.5. If not, then determine the maximum value of the coefficient of friction while it is just on the point of moving.

 Solution

There is a chance of movement of block A towards right. Thus, the direction of frictional force FA will be towards left.

N A  = W - P sin 60o

= 400 - 200 sin 60o = 226.795 N

 FA ( max )  = μ N A

= 0.5 × 226.795

= 113.398 N

This is the limiting static friction that shall be developed between the surfaces of contact. As the horizontal component P (i.e. 200 cos 60o = 100 N) is less than 113.398 N, the block A shall not move if the coefficient of friction is 0.5.

But, if the limiting static friction is less than the horizontal component of P, then the block A will move.

∴ FA  ≤ 100 N

∴ FA ( max )  = 100

∴ μ . N A = 100

∴          μ ( max ) = 100 / NA

=          100 /226.795

=        0.4409 N

Thus, if the coefficient of friction is 0.4409 or less, then the block A shall move under the given conditions.


Related Discussions:- Determine the maximum value of the coefficient of friction

Management of financial requirements , Management of Financial Requirements...

Management of Financial Requirements:  To start an own workshop or any business you need monetary support. You need to ensure availability of the required money including working

Evaluate thickness of leaves, A semi-elliptical laminated vehicle spring to...

A semi-elliptical laminated vehicle spring to took a load of 6000 N is to consist of seven leaves 65 mm wide, two of the leaves extending the full length of the spring. The spring

Co2 welding-power source, CO2 WELDING-Power Source Normally, a power so...

CO2 WELDING-Power Source Normally, a power source with constant potential characteristics is used for CO 2 welding as it has the ability to self regulate the welding arc. The

Overbridges - fly-overs and underpasses, Overbridges, Fly-Overs And Underpa...

Overbridges, Fly-Overs And Underpasses: Railway Over-bridges Railway Over-bridges (ROB) are structures constructed to enable the road traffic to go over the railway t

Find out deflection under the load, Find out Deflection under the load: ...

Find out Deflection under the load: A beam of span 4 m is subject to a point load of 20 kN at 1 m from the left support and a Udl of 10 kN/m over a length of 2 m from the righ

Bending equation, State and define the bending equation and mention it''s u...

State and define the bending equation and mention it''s units and derive it

Cam profile, sketch and discuss the uses and application of the following t...

sketch and discuss the uses and application of the following types of cam follower;knife edge,roller and flat ended.

Calculate power factor of the heating element, A single phase series resist...

A single phase series resistive-inductive heating element draws a measured current of 15A when connected to a 225V single phase 50 Hz AC supply. Tests have shown that a minimum

Plate clutch lifter bolts for even tightening, Plate clutch lifter bolts fo...

Plate clutch lifter bolts for even tightening : Reset clutch assembly using plate lifter clutch alignment tool.

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