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

Illustrate the term directional solidification, Describe some special kind ...

Describe some special kind of patterns and indicate the production circumstances in which each would be need. Illustrate the term Directional solidification as applied in castin

The goods market and the is curve, Goods Market and the IS Curve The IS...

Goods Market and the IS Curve The IS curve shows the combinations of interest rates and levels of output such that planned spending equals income. In order to derive the IS cur

Dislocation, Diff. B/w edge and screw dislocation

Diff. B/w edge and screw dislocation

Design of the plc ladder and profibus - asi network, 1 Prepare an updated s...

1 Prepare an updated sketch of the electro-hydraulic system shown in Figure showing the actuators in their start position appropriate to your allocated actuator sequence. 2 By u

Thermal Systems Analysis and Design, Create Visual Basic function ffactor(R...

Create Visual Basic function ffactor(Re, rr) that calculates the Darcy-Weisbach friction factor in a pipe or duct, where Re is the Reynolds No. and rr is the relative roughness, us

Determine the maximum stress in the beam, For the beam shown below, we need...

For the beam shown below, we need to determine: (i) The support reactions R L and R R                                                                            (ii) The s

Feces collection, Feces Collection: Small aliquots of feces are freque...

Feces Collection: Small aliquots of feces are frequently analyzed to detect the presence of "hidden" blood, so called occult blood, which is recognized as one of the most ef

Explain the zeroth law of thermodynamics, (a) Describe and explain the Zero...

(a) Describe and explain the Zeroth law of thermodynamics. Why it is so called ? What is understand by fixed points of a thermometric scale ? (b) In what respects are the work a

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