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

Carbon fibers, 3. The tensile modulus of elasticity of a unidirectional car...

3. The tensile modulus of elasticity of a unidirectional carbon-fiber-reinforced-plastic composite material that contains 64 percent by volume of carbon fibers and is stresssed und

#, parameters in designing a presure vessels

parameters in designing a presure vessels

Define the process of otto cycle, Define the process of Otto cycle The...

Define the process of Otto cycle The Otto cycle is the ideal air standard cycle for petrol and gas engine. It having of four processes. Process 1 to 2 is isentropic comp

Confined space standard, Confined Space Standard Various examples of ...

Confined Space Standard Various examples of workplace exist in industrial practice where spaces are characterized by several restrictions. Such spaces are identified as: manh

#mechanics of materials, What is maximum shear stress in mechanics of mater...

What is maximum shear stress in mechanics of materials ? Derivation for maximum and minimum shear stress seperately.

Need of alternate conceptual system design, What do you mean by Management ...

What do you mean by Management Information System (MIS)? What are its advantages ? Also give the qualities of an ideal MIS. What is the basic need of alternate conceptual system

High carbon tool steels, High Carbon Tool Steels Tools are implements...

High Carbon Tool Steels Tools are implements such are employed to shape, cut or deform other materials. They are largely made in steel, although other alloys have also been i

Calculate the actual mechanical output, Question: A 4- pole DC motor is...

Question: A 4- pole DC motor is operated as a separately excited motor.  When the motor is externally driven at 1800 rpm with rated field current and zero armature current,

Centre of gravity and centroid, Q.   Explain the terms centre of gravity an...

Q.   Explain the terms centre of gravity and centroid. Sol. : A point can be found out in a body through which resultant of all such parallel forces acts. This point through

Kinematics and dynamics of Machines, Please help me with this question if y...

Please help me with this question if you are 100 % sure that you will assure me a perfect grade. Please let me know as soon as possible. I need the solution within 18 hours from no

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