2019-03-01_Physics_Times

Introduction

Method -

Method -

Method-

In oscillations chapter we come across problems

related to meeting of two blocks that are executing

SHM along a straight line and meeting of two

pendulums that are in SHM. When it comes to

spring block system some of those problems can

be solved by the following methods.

Dividing one full oscillation into four parts

and solving by simple kinematics.

Assuming the oscillating block as a rotating bodies

in uniform circular motion and by considering

relative circular motion one can solve it.

In this article we have discussed another method
of finding time of meeting

Expressing the equation of motions in both sine

functions or cos functions and when the bodies

meet we apply conditions

sin sin 

     n ( 1)n

or

cos cos 

     2 n

Where n is a positive integer.

Both method-1 and method-2 are not well defined

methods and solving complex problems is almost

impossible. Method-3 is an elegant method and

can be used to solve even very complex problems.

1. Two paraticles 1 and 2 have same time periods (equal
   to T) and same amplitudes. The two particles start
   their motion at the positions shown. Find the
   minimum time at which they meet each other.

Sol: Method-

The equations of the two particles are given as

1

1.

Sol: Method-

x A t sin

2 sin( )

2

x A t



 

When the two particles meet each other

S S A 1   2

S A t 1  sin

S A A t 2 sin( 2 )



  

By: ESWAR REDDY ALLA (Bangalore)

B. MADHU (Bangalore)

ESWAR REDDY ALLA ALLA

B. MADHU