Determine the velocity and acceleration of a particle, Mechanical Engineering

Assignment Help:

Determine the velocity and acceleration of a particle:

The motion of a particle is determined by the equation s = t 4  - 3 t 3  + 2 t 2  - 8 , where s is in metres and t in seconds. Determine the velocity & acceleration when t = 2 seconds.

Solution

We have

           s = t 4 - 3 t 3 + 2 t 2 - 8

        ∴ v = ds/dt = 4 t 3 - 9 t 2 + 4 t dt

and

 a = dv/ dt = 12 t 2 - 18 t + 4

∴ at t = 2, v2  = 4 × 23  - 9 × 22 + 4 × 2

= 32 - 36 + 8

= 4 m / sec2

a2  = 12 × 22  - 18 × 2 + 4

= 48 - 36 + 4

= 16 m / sec 2


Related Discussions:- Determine the velocity and acceleration of a particle

Maximum shear stress and angle of twist, Maximum shear stress and angle of ...

Maximum shear stress and angle of twist: Torques are applied on the shaft as illustrated in Figure. Discover in which portion of the shaft, maximum shear stress & angle of twi

Portable gas cylinders - handling of hazardous, Q. Portable Gas Cylinders -...

Q. Portable Gas Cylinders - Handling of Hazardous? Portable Gas Cylinders Portable gas cylinders are vulnerable to fire exposure when located in process areas. Depending on l

Explain several materials used for cutting tools, What are the factors resp...

What are the factors responsible for the development of newer tool materials. Explain several materials used for cutting tools. List four kinds of tool wear.

Show the vessel supports, Q. Show the Vessel Supports? Approved materia...

Q. Show the Vessel Supports? Approved materials and allowable stresses, shall be used for vessels and their supports. For structural shape support members in compression, wh

Mounting systems for the welding head-boom mounted type, Mounting Systems ...

Mounting Systems For The  Welding Head-Boom mounted type These are the most versatile type of welding systems. Normally the boom is supported by means of a column. The welding

Copper-beryllium alloys, Copper-Beryllium Alloys Copper-beryllium allo...

Copper-Beryllium Alloys Copper-beryllium alloys comprise between 0.6 to 2% Be and 0.2 to 2.5% Cobalt. Such alloys can be precipitation hardened and cold worked to improve a te

Tungsten inclusions, Tungsten Inclusions Tungsten inclusion is a disconti...

Tungsten Inclusions Tungsten inclusion is a discontinuity found only in TIG welding. Particles of tungsten from the electrode can be embedded in a weld when improper welding proc

Processes , example on operation sheet?

example on operation sheet?

Design analysis drafting machine, hello,my name is mustapha from iran I wa...

hello,my name is mustapha from iran I want design piston engine (structure design cranckshaft ,rod,bearing,...)

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