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

Control cables and rubber parts, Control Cables: Never bend or distort con...

Control Cables: Never bend or distort control cables. This will lead to stiff operation and premature cable failure. Rubber Parts: Beware of parts containing O-rings or oil s

Turnning fixtures, What are the forces coming on workpiece during turning a...

What are the forces coming on workpiece during turning and how workpiece should be clamp?

Service and maintenance procedures, Service and Maintenance Procedures, you...

Service and Maintenance Procedures, you have studied detailed procedure of motorcycle service and maintenance and points to be remembered while servicing. In the next course, you s

Determine the speeds of gears, In a sun and planet type gear, the annular g...

In a sun and planet type gear, the annular gear (D) has 100 internal teeth, the sun gear (A) has 50 external teeth and a planet gear (B) has 25 external teeth. The gear (B) meshes

Describe cope and drag pattern, Cope and drag pattern These are similar...

Cope and drag pattern These are similar to split patterns. In addition to splitting the pattern, the cope and drag halves of the patterns along with the gating and risering sys

Steam turbine, calculation of stage wise specific steam consumption and pow...

calculation of stage wise specific steam consumption and power output

Information dissemination, Information Dissemination The purpose of re...

Information Dissemination The purpose of record keeping is best served if information is timely disseminated. The employees are required to be informed on all health issues co

Find the velocity and acceleration of the slider, Question: The disk 3 ...

Question: The disk 3 shown in the figure rotates at a constant angular velocity ω 3 = 2.0 rad/s. A slider in a slot in the disk causes rod 2 to rotate.  When the slider is

Find the stress developed in copper and steel, A steel rod of 20 mm diamete...

A steel rod of 20 mm diameter passes centrally through a copper tube of 50 mm external diameter and 40 mm internal diameter. The tube is closed at each end by rigid plates of negli

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