Smallest value of constant horizontal force, Mechanical Engineering

Assignment Help:

Smallest value of constant horizontal force:

A particle containing a mass of 8 kg starts from rest and attains a speed of 1.5 m/sec in a horizontal distance of 10 m. imagine a coefficient of friction of 0.2 and uniformly accelerated motion, what is the smallest value of any constant horizontal force P which can be needed to get this motion.

Solution

To find out acceleration of the body we have, initial velocity = 0, final velocity = 1.5 m/sec and distance travelled, s = 10 m.

∴ v 2  = vo 2  + 2as

∴ a = v2- v02 /2s

= 1.52/2 × 10

= 0.1125 m / sec2

Inertia force

Fi = - m a = (-) 8 × 0.1125

    = (-) 0.9 N

Considering equilibrium of the forces, we obtain :

∑ Fx  = 0            ∴ P = F + Fi

∑ Fy  = 0  ∴ N = = 8 × 9.81 = 78.48 N

And F = 0.20 × N = 15.70 N

 Substituting these values in Eq. (1) above, we have

P = 15.70 + 0.9

= 16.60 N


Related Discussions:- Smallest value of constant horizontal force

Car body, which car body are the most hard when crash never unbroken part. ...

which car body are the most hard when crash never unbroken part. can you explain this answer obviously sir

Joule''s law and enthalpy - thermodynamics, Joule's Law and Enthalpy - Ther...

Joule's Law and Enthalpy - Thermodynamics: Joule ' s Law Joules law experiment is based on the constant volume process, and it state that I.E. of perfect gas is a fun

3 Games in Supply Chain, I have three assignment in Supply Chain Engineerin...

I have three assignment in Supply Chain Engineering. It is a Games assignment in: 1- Beer Game 2000 words. 2- Risk Pooling Game, Object of this game is to rewrite properly correct

Determine the joint rotations, The rigidly jointed frame shown in Figure ha...

The rigidly jointed frame shown in Figure has bending stiffnesses such that EI AB = 1000kNm 2 and EI BC = EICD = 1600kNm 2 . (i) Determine the joint rotations at B and C.

Example of equilibrium - mechanics, Example of Equilibrium: Express i...

Example of Equilibrium: Express in terms of θ, β and W the force T necessary to hold weight in equilibrium as shown in the figure given below. Also derive an expression f

What do you understand by carburization, Q. What do you understand by Carbu...

Q. What do you understand by Carburization? Carburization is initiated by the adsorption of carbon in contact with the surface of the metal and may progress by diffusion along

Cylinder head de-carburising and valve lapping, Cylinder Head De-carburisin...

Cylinder Head De-carburising and Valve Lapping: Cylinder head mounts on the top of the engine cylinder, the inner side of the cylinder head is always in direct contact of combusti

Names of machine involed in making sewing machine table, please tell me nam...

please tell me names of machine involed in making sewing machine table with their work involved...

Safe access and location of buildings in plant design, The following items ...

The following items should be considered regarding the safe access and location of buildings: • The fire fighting pump house is usually located in a non-hazardous OSBL location

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