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

What do you understand by binders, Q. What do you understand by Binders? ...

Q. What do you understand by Binders? Binders used in a foundry are : Inorganic and organic binders. Organic binders used for core making and will be discussed later. Clay b

Find the weight percent of austenite present in the steel, Find the weight ...

Find the weight percent of austenite present in the steel: A 0.4% C hypoeutectoid plain carbon steel is slowly cooled from 1540 o C to (i) slightly above 723 o C and (ii) s

Tropical geometric information of solids, Tropical geometric information of...

Tropical geometric information of solids A face is surrounded by a set of vertices. Using the right-handed rule, the ordering of these vertices for describing a particular face

Insulation and heat tracing, • insulation thickness • heat tracing type (gl...

• insulation thickness • heat tracing type (glycol, electric, steam): • controlled or self-limiting • traps • identification • requirements limits

Explain about active fire protection, Q. Explain about Active Fire Protecti...

Q. Explain about Active Fire Protection? Active Fire Protection - A fire fighting system that is normally dormant and is activated automatically upon detection of a fire hazard

Qualifications of welding procedures, Q. Qualifications of Welding Procedur...

Q. Qualifications of Welding Procedures? The Fabricator shall prepare and submit for review by Welding Procedure Specifications (WPS) and Procedure Qualification Records (PQR),

Storage and handling of hazardous substances, Stores for hazardous substanc...

Stores for hazardous substances shall be segregated from, and located at a safe distance from accommodation spaces and control room. Indoor storage areas require access from an ope

Piercing press tool, computer aided design of piercing press tool

computer aided design of piercing press tool

Materials, what is the meaning of 6061 and why its called as 6061?

what is the meaning of 6061 and why its called as 6061?

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