+91-705-589-3577
FlagBACK
Flag Mechanics> [lz give this question answer...............
question mark

[lz give this question answer.........................................................................................................attach in file

Akshat , 7 Years ago
Grade 12th pass
anser 1 Answers
venkat
For the second  partice to go ahead of first particle, it should meet the first particle ovetake it.
Again the first paticle should overtake the second particle. This will happen only when the distances travelled by both the particles is same at two instants of time.
\thereforeSfirst=Ssecond
Initial velocity of the first body u1=0
Initial velocity of the second body u2=u [u>2]
Acceleration of the first body is a
If the second particle moves for t seconds, then the first particle must have travelled for (t+1/a)seconds.Here we have to calculate the time interval between the two point if times where the two particles meet.
Hence,
[a(t+1/a)2]/2 = ut+0
After solving we get a quadratic equation in terms of ‘t’.
a2t2+(2a-2au)t+1=0
The difference between the roots of the quadrtic equation is our answer.
i.e.,  if t1 and t2 are roots of the above equation then,
\left |t1-t2\left | = \sqrt{\Delta }/a
where \Delta=discriminant of the quadrtic equation and
          a=coefficient of x2 in the quadratic equation.
\left |t1-t2\left | =\sqrt{}4a2(1-u)2-4a2
       =[2(\sqrt{}u2-2u)]/a
 
\left |t1-t2\left |= 2(\sqrt{u(u-2)})/a   (3) is our answer
Please approve my answer if it helped you.
Last Activity: 7 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on mechanics

question mark

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

mechanics
1 Answer Available

Last Activity: 6 Months ago

question mark

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.


11

21

31

41

mechanics
1 Answer Available

Last Activity: 6 Months ago

question mark
A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass
mechanics
2 Answers Available

Last Activity: 3 Years ago

question mark
An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring
constant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by the
damping constant b = 0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) By what percentage does the amplitude of the oscillation decrease in each cycle? 
mechanics
1 Answer Available

Last Activity: 3 Years ago

question mark
If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0
mechanics
1 Answer Available

Last Activity: 3 Years ago