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
#question.what are process of annealing? .

Preliminary stress analysis work will start early in the detail engineering phase after completion of equipment layout and piping study drawings. The piping required to be analyzed

Operating characteristics of the valve is nonlinear (Fig.), a cascade controller established to reduce the effect of this. Both controllers are proportional controllers. TC has

explain of pascal law

Metallurgical Compatibility The two facets of property as above could be made analogous crudely to an athlete's wholesome strength, which includes both his physical fitness an


Problems on Structural Design of Combined Footings a. Two columns 50 cm x 50 cm in size support service loads of 1200kN and 800kN.The centre to centre spacing between columns

Q. Identification of Pressure Welds? Pressure welds shall be identified as follows: a. Generally each weld shall be stamped adjacent to the weld with the welder's identity c

what is the velocity and acceleration when connecting rod and crank are mutually perpendicular?

Find out the modulus of elasticity: A unidirectional FRP is produced with fibre volume ratio of 60%. The density of fibre is 1480 kg/m 3 and that of matrix is 1200 kg/m 3 . C