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

Locomotive boilers, advantages and disadvantages of locomotive boilers

advantages and disadvantages of locomotive boilers

Determine the best possible angle to reduce aerodynamic drag, This is to de...

This is to determine the best possible angle to reduce aerodynamic drag. Mesh is to use tetrahedron of 0.5m wide.  I need the mesh generation and solver control on ansys 11.0. I al

Wilson hartnell governor, how to design and fabricate wilson hartnell gover...

how to design and fabricate wilson hartnell governor?

Determine the increase in pressure in vessel, Determine the increase in pre...

Determine the increase in pressure in vessel: A thin spherical vessel of diameter 750 mm & wall thickness 8 mm is filled through water at atmospheric pressure. Determine the i

First law of thermodynamics, common formula for first law of thermodynamics...

common formula for first law of thermodynamics #Minimum 100 words accepted#

Static Force Analysis, Link O4C of a 4-bar mechanism is subjected to a torq...

Link O4C of a 4-bar mechanism is subjected to a torque T4=1Nm[ccw]. The link BC is subjected to a force Q=45N @900 downwards. Determine the torque T2 on link O2B and the reactions

Explain the objectives of value engineering, OBJECTIVES OF VE: 1. To esta...

OBJECTIVES OF VE: 1. To establishing the monitoring value of the function of the product or services. 2. To identifying unnecessary cost or hidden cost in a product or services.

Calculate the natural frequency, (a) A circular cylinder of mass M and radi...

(a) A circular cylinder of mass M and radius R connected by a spring of stiffness ‘K'. It is free to roll on horizontal surface without slipping. Calculate the natural frequency.

#tTORQUE, HOW TO CALCULATE OUTPUT TORQUE OF HELICAL GEAR BOX

HOW TO CALCULATE OUTPUT TORQUE OF HELICAL GEAR BOX

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