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

Define teh gas welding, Gas welding is a method of joining two metal piece...

Gas welding is a method of joining two metal pieces (similar or dissimilar) together by melting and fusing their edges at the joint. It involves applying intense concentrated flam

Scissors crossing, Scissors Crossing: A scissors crossing consists of...

Scissors Crossing: A scissors crossing consists of two crossovers overlapping each other. It is shown in Figure. Figure: Scissors Crossover Triangles

Determine tension in horizontal rope , Determine tension in horizontal rope...

Determine tension in horizontal rope: Q:  A 500N cylinder, 1 m in diameter is loaded between cross pieces AE and BD that make an angle of 60º with each other and are pinn

Reduce system to a single force and couple, Reduce system to a single force...

Reduce system to a single force and couple: Q: A system of parallel forces is acting on rigid bar as shown in the figure given below. Reduce this system to  a single force

Engine keeps on running after ignition is switched off, If Engine Keeps on ...

If Engine Keeps on Running after Ignition is Switched Off Causes of Problem Remedy Pre-ignition due to very hot spark plug used

Design ventilation systems for plant, Q. Design Ventilation Systems for pla...

Q. Design Ventilation Systems for plant? While some natural ventilation may sometimes be used, a pressurized HVAC (heating, ventilation and air-conditioning) system is more typ

Sewage treatment, Q. Sewage Treatment? Unless located in a metropolitan...

Q. Sewage Treatment? Unless located in a metropolitan area, it is common for plants to have sewage treatment facilities for disposal of sewage and grey water generated in the p

Explain fundamental of metal casting, Q. Explain Fundamental of metal casti...

Q. Explain Fundamental of metal casting? (1)Melting the material (2)Allowing the molten metal to cool and solidify in the mould "A plane where the castings are made is ca

Determine the spring force, A double shoe brake as shown in the figure is c...

A double shoe brake as shown in the figure is capable of absorbing a torque of 1400 N-m. The diameter of the brake drum is 350mm and the angle of contact of each shoe is 100°. If t

Magnetic alloy steels, Magnetic Alloy Steels: These steels are divide...

Magnetic Alloy Steels: These steels are divided into two sets. Such which retain their magnetism and that which do not. The steels which retain their magnetism are termed as

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