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

Calculate the motor efficiency, A 4- pole DC motor is known to have an arma...

A 4- pole DC motor is known to have an armature resistance of 0.5 Ω, and is operated as a separately excited motor. (a)  When the motor is connected to a 250V DC supply with no

Vibration, On the Moodle site just below the assignment you will find data ...

On the Moodle site just below the assignment you will find data from a slow sine sweep test conducted on a car on a "four-post" road simulator for the frequency range 0 to 20 Hz in

Replace the two parallel forces by single force, Replace the two parallel f...

Replace the two parallel forces by single force: Replace the two parallel forces acting on the control lever by a single equivalent force R.   Sol.: Since single equ

Pultrusion, Pultrusion Structure sections of long length are generated...

Pultrusion Structure sections of long length are generated by putting the fibres via resin bath and heated dies of exact shapes. Unidirectional fibres along with high volume f

Cad - requirements for standard interface, Requirements for Standard Interf...

Requirements for Standard Interface  The interface must be capable of handling all kinds of manufacturing data. There should be no information loss when data is transf

Mechanical data for line designation tables, Q. Mechanical Data for Line De...

Q. Mechanical Data for Line Designation Tables? Line Designation Tables (LDT's) are initially generated by the Piping designers. Design conditions are inputed by the Process di

Show the vessel supports, Q. Show the Vessel Supports? Approved materia...

Q. Show the Vessel Supports? Approved materials and allowable stresses, shall be used for vessels and their supports. For structural shape support members in compression, wh

What do you mean by compression moulding, Q. What do you mean by Compressio...

Q. What do you mean by Compression moulding? In compression molding, a material normally in power or perform shape , is loaded directly into the hot die cavity, pressure from

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