Determine the velocity and acceleration of a particle, Mechanical Engineering

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

Posted Date: 1/29/2013 1:39:01 AM | Location : United States







Related Discussions:- Determine the velocity and acceleration of a particle, Assignment Help, Ask Question on Determine the velocity and acceleration of a particle, Get Answer, Expert's Help, Determine the velocity and acceleration of a particle Discussions

Write discussion on Determine the velocity and acceleration of a particle
Your posts are moderated
Related Questions
What us the duff between direct stress and bending stress

Concurrent force system: It state that if force acting at a point on a rigid body, it can be considered to act at any other point on its line of action, given this point is ri


Stea m Turbine: INTRODUCTIO N:   Steam turbine is chief mover in which rotary motion can be obtained by a gradual change of momentum of steam. The force exerted on blade is

Evaluate the reactions at hinge and roller support: Q: A Force P = 5000N is applied at centre C of beam AB of length 5m as shown in figure given below. Find the reactio


Determine a real root of the equation xlog10 x = 1.2 by regula-falsi method correct to four decimal places.


F AC T OR S AFFECTING THE SELECTION OF BOILER: -     Working Pressure and amount of steam needed. -     Floor area required. -     Operating and Maintenance Required

What are square footings? SQUARE FOOTINGS This type of footing, also termed an isolated spread footing is probably the most common, simplest and most economical of the vario