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

Explain cutting speed-material removal rate & machining time, Determine- cu...

Determine- cutting speed, Material removal rate and Machining time. A 150 mm long 12.7 mm diameter stainless steel rod is being turned to 12.19 mm diameter on a centre lathe.

Write down the maintenance schedule spark plug replacement, Write down the ...

Write down the maintenance schedule for the following : (a) Spark plug replacement. (b) Engine oil change/ top up period. (c) Steering head bearing.

Open coiled helical spring, Open coiled helical spring: In an open coi...

Open coiled helical spring: In an open coiled helical spring along with α = 38 o , if the inclination of the coil is ignored, determine the percentage by which the axial exten

Show the geometric similarity, Q. Show the Geometric Similarity? When m...

Q. Show the Geometric Similarity? When model is required to provide an aid merely for visualisation, scaler reproduction of form is sufficient which is termed Geometric Similar

Newton law of motion - second law, Newton law of motion: Secon d Law...

Newton law of motion: Secon d Law The rate of change of momentum is proportional to external force applied on the body and take place, in the same direction in which the

Induction heating, Induction Heating: Alternating current throughout i...

Induction Heating: Alternating current throughout induction coil adjacent the part to be treated induces eddy current via the part that is so heated. The benefit of such heati

Spot welding of different metals-stainless steel, Spot welding of different...

Spot welding of different metals-Stainless steel Stainless steel is having lower thermal conductivity compared to mild steel. Therefore, it requires less heat input. But, stain

Power sources-inverter type power sources, INVERTER TYPE POWER SOURCES Fo...

INVERTER TYPE POWER SOURCES For site welding and repair applications, a need was felt for long time to have light weight arc welding power source. Even though, a petrol driven ro

Calculate the compression ratio - maximum pressure of engine, (a) Derive an...

(a) Derive an expression for the otto cycle to determine the Mean Effective Pressure and efficiency. (b)The two engines are to perform on diesel and otto cycle with the followin

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