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

Cooling period of furnace pipe, We shutdown our furnace and always encounte...

We shutdown our furnace and always encountered crack on our piping at the weld joints. I investigated that upon shutdown the furnace cracking, our maintenance immediately remove th

What is holiday detection, Q. What is Holiday Detection? Each length of...

Q. What is Holiday Detection? Each length of coated pipe shall be checked for holidays with a high quality, heavy duty, full wave rectified non pulsating direct current detecto

Isolated system - thermodynamics, Isolated System: In an Isolated syst...

Isolated System: In an Isolated system, neither energy nor masses are permitted to cross the boundary. The system has constant mass and energy. No such system exists physicall

Molecular structure, Molecular Structure The polymers have three disti...

Molecular Structure The polymers have three distinct arrangements of molecular chain, hence resulting in three structures. In amorphous structure the molecular chain are ar

Fluids, show a schematic circuit diagram of a electric hydraulic gear pump...

show a schematic circuit diagram of a electric hydraulic gear pump with adjustable with one direction flow and explain the operation

Airport pavement, Airport Pavement: Airport pavements can be: (a) ...

Airport Pavement: Airport pavements can be: (a)        Flexible, and (b)       Rigid (cement concrete). Since cement concrete pavements have transverse and longitudi

Thermodynamics, Show that the entropy maximum principle encountered in the ...

Show that the entropy maximum principle encountered in the study of isolated system is equivalent to the statement that the nonflow exergy of an isolated system is destined to decr

Determine the shear stresses, A composite shaft consists of copper rod of 3...

A composite shaft consists of copper rod of 30mm diameter enclosed in a steel tube of external diameter 50mm and 10 mm thick. The shaft is needed to transmit a shaft is required to

Your job is to design the connecting rod, Introduction You are now worki...

Introduction You are now working as a FEA engineer for a Computer Aided Engineering (CAE) consultancy company called Dantech. This morning, your manager assigned you a new contr

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