Find distance through which the body will penetrates, Mechanical Engineering

Assignment Help:

Find distance through which the body will penetrates:

A body having mass 25kg falls on the ground from height of 19.6m. The body penetrates into ground. Find distance through which the body will penetrates into ground, if resistance by the ground to penetrate is constant and equal to 4998N. Take g = 9.8m/sec2.

Sol : Given:

m = 25Kg, h = 19.6m, s = ?, Fr  = 4998N, g = 9.8m/sec2

Let us consider the motion of the body from height of 19.6m to the ground surface,

Initial velocity = u = 0,

Let final velocity of body when it reaches to the ground = v, Using equation, v2  = u2  + 2gh

v2 = (0)2  + 2 X 9.8 X 19.6

v = 19.6m/sec                                                                                                                            ...(i)

When body is penetrating in to the ground, resistance to penetration is acting in the upward direction. (Resistance is acting in the opposite direction of motion of body.) But weight of  body is acting in downward direction.

Weight of the body = mg = 25 X 9.8 = 245N                                                                                         ...(ii)

Upward resistance to penetrate = 4998N

Net force acting in upward direction = F

F = Fr  - mg = 4998 - 245 = 4753N                                                                                                    ...(iii)

By using F = ma, 4753 = 25 X a

a=190.12m/sec2                                                                                                                       ...(iv)

Now, calculation for distance to penetrate

Consider motion of the body from the ground to the point of penetration in to ground. Let distance of penetration = s,

Final velocity = v,

Initial velocity = u = 19.6m/sec, Retardation a = 190.12m/sec2

By using relation, v2  = u2  - 2as

(0)2 = (19.6)2  - 2 X 190.12 X S

S = 1.01m             .......ANS

 


Related Discussions:- Find distance through which the body will penetrates

#title.kaplan turbine., #q(b) Illustrate governing mechanism of Kaplan turb...

#q(b) Illustrate governing mechanism of Kaplan turbine.uestion..

Bolter - thermodynamics, Bolter: ( k E 2  - kE 1) = 0, ( pE 2  - pE...

Bolter: ( k E 2  - kE 1) = 0, ( pE 2  - pE 1) = 0, w 1-2  = 0 Now,   q 1-2 = w 1-2  ( h 2  - h 1 ) + ( kE 2  - kE 1 ) + ( pE 2  - pE 1 ) q 1-2 =

Dual cycle of heat engine.., how to calculate the mean effective pressure o...

how to calculate the mean effective pressure of a dual cycle

Calculate drilling speed and machining time, Calculate Drilling Speed and M...

Calculate Drilling Speed and Machining Time Calculate the drilling speed if a 50 mm dia hole of 60 mm depth is to be drilled in a M.S. component. The feed rate is 0.2652 and M

Relation between stress and strain, Relation between stress and strain: ...

Relation between stress and strain: The relation between stress and strain is generally shown by plotting a stress-strain (σ -e) diagram. Stress can be plotted on ordinate (ve

Design requirements, A steel member supported by a tie bar has a load of 15...

A steel member supported by a tie bar has a load of 15 000 lbs on it. If the force on the steel member of 1.2 in 2 cross section is 14,180 lbs and the force on the tie bar of diam

Compute the total drag force on the plate , A uniform air stream with veloc...

A uniform air stream with velocity U = 10m/s flows over a flat plate of length 10 meters in the first meter the boundary layer is laminar but beyond this point boundary layer is fu

Construction and working of locomotive boiler, CONSTRUCTIO N and WORKING: ...

CONSTRUCTIO N and WORKING: The boiler barrel is cylindrical shell and consists of large number of flue tubes. The barrel comprise of a rectangular fire box at one end and a

Explain interpoles or commutating poles, Interpoles or commutating poles ...

Interpoles or commutating poles Interpoles are ?xed to the frame in among main poles. They are used for sparkless commutation, i.e, to improve commutation.

Derive the expression of torque in closely excited system., Q.   Derive the...

Q.   Derive the expression of torque developed in closely excited magnetic system. Clearly explain then assumption made.   Sol. Double - Excited System   A doubly - ex

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