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

Thermal, diference between thermal and thermodynamic equallibrim

diference between thermal and thermodynamic equallibrim

THERMAL, HOW HEAT TRANSFER TAKES PLACE

HOW HEAT TRANSFER TAKES PLACE

Define the plastic materials-polymers processing methods, Plastic Materials...

Plastic Materials/Polymers processing methods. Under this category are included the various methods for processing plastic material/polymers for example, shape casting, the

Atmospheric pressure and gauge pressure - thermodynamics, Atmospheri c Pr...

Atmospheri c Pressure (P atm ): It is pressure exerted by atmospheric air on any surface. It can be measured by a barometer. The standard values of it are; 1 P atm = 760

Computation for the magnitude, A horizontal line ABCD measuring 9m is acted...

A horizontal line ABCD measuring 9m is acted upon by forces of magnitude 400, 600, 400 and 200 N at points A, B, C, D respectively with downward direction. These point are so locat

Process planning, we have to design crane we did already with calculation r...

we have to design crane we did already with calculation remaining is process planning

Loads analysis, Complete the following problem from the text by Megson.  No...

Complete the following problem from the text by Megson.  Note that since the answers are given, it is essential that you show and justify all work to receive full credit.  Required

3d design software, Which software is worth in learning for upcoming techno...

Which software is worth in learning for upcoming technologies in mechanical field?

Stone slab culverts with abutments, Stone Slab Culverts with Abutments and ...

Stone Slab Culverts with Abutments and Piers: Where good quality stone slabs are available like granite slabs, they can be used for superstructure of culverts, with suitable

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