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

Idle circuit of motorcycle, Idle Circuit : During Idling while the th...

Idle Circuit : During Idling while the throttle valve is almost closed the vacuum is very high at Venturi area and no air-fuel mixture is drawn through the main circuit, as t

Introduction to general safety and service tips , INTRODUCTION: Safety is ...

INTRODUCTION: Safety is very important which is often neglected at our workplaces. Small precautions if carried out regularly can ensure safe, hygienic and clean environment at ou

Clutch-free pedal play -factors in clutch design , Clutch-free Pedal Play :...

Clutch-free Pedal Play : To reduce effective clamping load on the carbon thrust bearing and wear thereof, sufficient clutch free pedal play must be provided in the clutch.

Can you use motor oil in a hydraulic system, Hydraulic fluid has to pass a ...

Hydraulic fluid has to pass a dissimilar set of standards than motor oil. Motor oil has tackifiers, lower sulfur content, and other ingredients that could solve harmful to the seal

Determine the elongation of plate, Determine the elongation of plate: ...

Determine the elongation of plate: Q: A steel bar AB which is having uniform thickness 2 cm, tapers from 1.5 cm to 7.5 cm uniformly in a length of 50 cm. From 1 st principle

Point and path function - thermodynamics, Point and Path Function - Thermod...

Point and Path Function - Thermodynamics: Poin t Function A point function is single valued function which always possesses a single - value is all states. For instance

What are the principles of location of drilling jig, a) Define the degree o...

a) Define the degree of freedom of a work piece in space. What are the basic principles of location of drilling jig.

Find out the forces in members, Find out the forces in members: A brac...

Find out the forces in members: A braced support ABC is loaded as illustrated. Find out the forces in members AB, BC, BD and AD by the method of joints. Check out the results

Determine the brake mean effective pressure, A 4 cylinder petrol engine ope...

A 4 cylinder petrol engine operates on the 4-stroke cycle. The bore of each cylinder is 70mm and stroke 100mm. The clearance volume per cylinder is 60cm3. At a speed of 4000rpm, th

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