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 is subsetting, What is Subsetting Subsetting : Vendors selected an...

What is Subsetting Subsetting : Vendors selected and implemented only portions of the whole of IGES, thus making exchange between two systems impossible without  prior agreemen

Mechanics materials , 1) Factor of Safety is calculated by using which of t...

1) Factor of Safety is calculated by using which of the following set of values? [Select the one best answer from the choices given below.] Answer a. Yield Stress and Allowable St

Principle of energy conversion, Q.   Describe the principle of energy conve...

Q.   Describe the principle of energy conversion. Show that the reaction of coupling magnetic field on the electrical or mechanical system is essential for the electro - mechanical

Power transmission system of vehicles, (a) Mention the needs to be satisfie...

(a) Mention the needs to be satisfied by power transmission system of vehicles. (b) What is an overdrive? Explain its principle of operation and advantages.

Natural polymers, Natural Polymers Rubber is individual natural polyme...

Natural Polymers Rubber is individual natural polymer and was illustrated earlier. Specific trees exude thick liquid that solidified in brittle material termed as rosin. Shell

Show space considerations for plant, Q. Show Space Considerations for plant...

Q. Show Space Considerations for plant? There are particular spacing constraints which need particular care and attention when optimizing the layout area utilization in both ne

Diode-fundamentals of electricity , Diode: It allows the current to flow ...

Diode: It allows the current to flow in one direction only and offers infinite resistance in other direction. It rectifies the alternating current that is why we call it rectifie

What is a turboprop engine, The grouping of the words turbine and propeller...

The grouping of the words turbine and propeller in techno jargon will give you the word "turboprop". A turboprop engine is a turbojet (gas turbine) engine, which powers the propell

Corrosion resistance of the nickel-based alloys, Q. Corrosion resistance of...

Q. Corrosion resistance of the nickel-based alloys? The corrosion resistance of the nickel-based alloys can also be significantly affected by other variables such as velocity a

Driveshaft seals, DRIVESHAFT SEALS Packed gland Sealed by several lay...

DRIVESHAFT SEALS Packed gland Sealed by several layers of asbestos or cotton yarn     Sometimes used two boxes with intervening space separated by steam Problems:     T

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