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

Conversion of pressure reading into kpa, Conve r t following reading of p...

Conve r t following reading of pressure to kPa, supposing that the barometer reads 760mm Hg. (1) 90cm Hg gauge (2) 40cm Hg vacuum (3) 1.2m H 2 O gauge Sol: Given

GOVERNORS, Explain Wilson HArtnell Governor

Explain Wilson HArtnell Governor

Bond, What is bond and the types..

What is bond and the types..

What are the types of material used for making spanners?, (a) What are the ...

(a) What are the types of material used for making spanners? What are the uses of spanners? (b) Write down the uses of following tools and make neat sketches of the same : (i

Method of section, Method of section: Define the method of section? H...

Method of section: Define the method of section? How can you solve the problems with the help of method of section? Sol.: This method is powerful method for determining

Cycle of operation of four-stroke spark ignition engine, With neat diagram ...

With neat diagram illustrate the cycle of operation of four-stroke spark ignition engine. In what respects four-stroke cycle CI engine differ from that of SI engine ?

Frequency of sound, derive an expression for the fundamental frequency of ...

derive an expression for the fundamental frequency of sound obtainable from a tube given diameter open at one end

Electro slag welding, ELECTRO SLAG WELDING   This process is similar...

ELECTRO SLAG WELDING   This process is similar to the electro gas welding process designed for making butt welding in the vertical position in one single pass and the plate

Explain about hardness testing, Q. Explain about Hardness testing? When...

Q. Explain about Hardness testing? When indicated on equipment or vessel data sheets, hardness testing shall be performed as follows: a) Perform hardness tests at or near 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