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

What could be the characteristics of tool materials, (a) What could be the ...

(a) What could be the characteristics of tool materials. (b) Describe several tool materials with their composition.

Net angle of twist at the free end - steel shaft, Net angle of twist at the...

Net angle of twist at the free end - steel shaft:  The stepped steel shaft illustrated in Figure is subjected to a torque (T) at the free end and a torque (2T) in the opposite

Scope of materials used in caustic service, Q. Show the scope of materials ...

Q. Show the scope of materials used in caustic service? This Engineering Practice presents metallic materials of construction commonly used in caustic service. The term 'Caust

Explain working of nozzles, Q. Explain working of Nozzles? Nozzles supp...

Q. Explain working of Nozzles? Nozzles supporting agitators, pumps, or other mechanical equipment, shall be suitably reinforced to withstand the mechanical loadings, specified

FEED WATER PUMP, #what is the ratio between thirst pr. and discharge pr.? ....

#what is the ratio between thirst pr. and discharge pr.? ..

Flange assembly, The assembly techniques of bolted connections and bolts an...

The assembly techniques of bolted connections and bolts and gaskets material selection are closely interrelated. Consequently, they must be treated as an integrated problem.

Determine the residual plastic strain in the members, As part of the fitti...

As part of the fitting of the mooring lines to a wave energy device, the pin-jointed structure shown in Figure Q is to be subjected to a small degree of plastic deformation by appl

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