Compute the displacement of the particle, Mechanical Engineering

Assignment Help:

Compute the displacement of the particle:

The acceleration time diagram for particle is as specified below .Computed velocity of the particle at several time intervals, plot velocity time diagram and computed the displacement of the particle at several intervals. Suppose initial velocity v0 = 0 and initial displacement s0 = 5.30 cm.

Solution

We have

dv/ dt  = a,   or          dv = a dt

929_Compute the displacement of the particle.png

∴ v1  - v0  = Area of (a - t ) diagram between t = 0 and t =1 seconds

∴ v1  = v0  + 10 × 1                 v0  = 0

= 10 cm / sec

Likewise,

∴ v2  - v0  = Area of (a - t ) diagram between t = 0 and t = 2 seconds

= v0  + 10 × 2

= 20 cm / sec

And         v3  = 30 cm / sec

We have ds/ dt  = v, or ds = v dt

202_Compute the displacement of the particle1.png

or s1  - s0  = Area of (v - t ) diagram among t = 0 and t =1 seconds

∴ s1 = s0 + (½) × 1 × 10

= 5.30 + 5.0

= 10.30 cm .

s2  - s0  = Area of (v - t ) diagram among t = 0 and t = 2 seconds

         = 5.3 + (½) × 20 × 2

= 25.3 cm .

s3  - s0  = Area of (v - t ) diagram among t = 0 and t = 3 seconds

s3  = 5.3 + (½) × 30 × 3 = 50.3 cm .


Related Discussions:- Compute the displacement of the particle

Explain concepty of worktable in radial drilling machine, Explain concepty ...

Explain concepty of Worktable in radial drilling machine The worktable is supported on an arm mounted to the column. The worktable can be adjusted vertically to accommodate dis

Discuss relative demerits and merits of belt, Discuss relative demerits and...

Discuss relative demerits and merits of belt, rope and chain drive for transmission of power and find the condition for transmitting the maximum power in a flat belt drive.

Fluid mechanics, A cart is moving along a track at a constant velocity of 5...

A cart is moving along a track at a constant velocity of 5 m/s as shown. Water (? = 1000 kg/m3) issues from a nozzle at 10 m/s and is deflected through 180° by a vane on the cart.

Difference between components and resolved parts, D i f fe r enc e be...

D i f fe r enc e between components and resolved parts: 1. When the force is resolved into two parts along the two mutually perpendicular directions, the parts along th

Design wellheads and wellpads, Q. Design Wellheads and Wellpads? Hydroc...

Q. Design Wellheads and Wellpads? Hydrocarbon-producing wellheads and wellpads shall be located in open, well ventilated areas with as much segregation from other critical equi

Calculate the component of this vector, (a) Describe a vector and scalar ? ...

(a) Describe a vector and scalar ? (b) What is meant by line of action of vector ? (c) What are displacement vectors and position vector ? (d) Calculate the component of t

Velocity acquired by block - system released from rest, Velocity acquired b...

Velocity acquired by block - system released from rest: T wo blocks shown in the figure given below, have masses A = 20N and B = 10N and the coefficient of friction between

Local stresses - vessel rigging analysis, Q. Local Stresses? Local stre...

Q. Local Stresses? Local stresses in the vessel shell/head/skirt/base rings from the lifting attachments (such as lugs, trunnions, etc.), shall be determined for the imposed lo

Heat treatment of stainless steels, Heat Treatment of Stainless Steels: ...

Heat Treatment of Stainless Steels: Stainless steels, as other steels, react to heat treatments over broad range. They are subjected to one or more of the given heat treatmen

THERMODYNAMICS, COMPRESSOR MOSTLY USED FOR SUPERHEATING OF IC ENGINES IS CA...

COMPRESSOR MOSTLY USED FOR SUPERHEATING OF IC ENGINES IS CALLED ----------COMPRESSORS

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