Compute the displacement of the particle, Mechanical Engineering

Assignment Help:

Compute the displacement of the particle:

The acceleration time diagram for particle is as specified below .Computed velocity of the particle at several time intervals, plot velocity time diagram and computed the displacement of the particle at several intervals. Suppose initial velocity v0 = 0 and initial displacement s0 = 5.30 cm.

Solution

We have

dv/ dt  = a,   or          dv = a dt

929_Compute the displacement of the particle.png

∴ v1  - v0  = Area of (a - t ) diagram between t = 0 and t =1 seconds

∴ v1  = v0  + 10 × 1                 v0  = 0

= 10 cm / sec

Likewise,

∴ v2  - v0  = Area of (a - t ) diagram between t = 0 and t = 2 seconds

= v0  + 10 × 2

= 20 cm / sec

And         v3  = 30 cm / sec

We have ds/ dt  = v, or ds = v dt

202_Compute the displacement of the particle1.png

or s1  - s0  = Area of (v - t ) diagram among t = 0 and t =1 seconds

∴ s1 = s0 + (½) × 1 × 10

= 5.30 + 5.0

= 10.30 cm .

s2  - s0  = Area of (v - t ) diagram among t = 0 and t = 2 seconds

         = 5.3 + (½) × 20 × 2

= 25.3 cm .

s3  - s0  = Area of (v - t ) diagram among t = 0 and t = 3 seconds

s3  = 5.3 + (½) × 30 × 3 = 50.3 cm .


Related Discussions:- Compute the displacement of the particle

GOVERNORS, Explain Wilson HArtnell Governor

Explain Wilson HArtnell Governor

Need for electron beam welding(ebw) process, NEED FOR ELECTRON BEAM WELDING...

NEED FOR ELECTRON BEAM WELDING(EBW) PROCESS   The major advantage resulting from the use of a vacuum environment with a working pressure of from 10 -5 to 10 -3 mbar is esp

Explain internal broaching - types of broaching, Explain Internal Broaching...

Explain Internal Broaching - Types of Broaching Internal broaching operation is adopted for producing internal surface such as holes, keyways and teeth of an internal gear for

General factors behind accidents , GENERAL FACTORS BEHIND ACCIDENT:  Follow...

GENERAL FACTORS BEHIND ACCIDENT:  Following are the factors, which may cause accidents in workshop, so we should take care of these factors: Insufficient light and ventilati

Determine the isentropic flow through the nozzle, Determine the isentropic ...

Determine the isentropic flow through the nozzle: In an isentropic flow through the nozzle, air flows at rate of 600Kg/hr. At inlet to the nozzle, the pressure is 2Mpa and te

Communication protocols applicable in holonic manufacturing , Communication...

Communication Protocols Applicable in Holonic Manufacturing System Communication amongst agents plays an essential role in the Holonic manufacturing system. Exchange of informa

Gage factor and transverse sensitivity of the gage, A biaxial rosette is sh...

A biaxial rosette is shown at right. Derive equations to correct for transverse sensitivity effects for the case in which the two strain gage elements exhibit different gage factor

Necessity of cooling system , Necessity of Cooling System To preve...

Necessity of Cooling System To prevent the engine from excessive heating. To avoid the piston seizure due to thermal expansion. To prevent burning of lubricant a

Mechanics, assumptions made in parallelogram law of forces

assumptions made in parallelogram law of forces

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