Thanks a lot. Can you please guide me to a rigorous proof of the concept of superposition? The result doesn't seem readily apparent to me. Also that is the significance of the system being linear?
(d2x1)/dt2=-ω12x1
(d2x2)/dt2=-ω22x2
Isn't the property of addition of the SHM's based on the addition of forces? If ω is same we can directly add the displacements.(taking -ω2 common from the two equations) But how will i prove that the addition of SHM's in case of different ωs will result in...
Homework Statement
A particle is subjected to two simple harmonic motions given by
x1=2[sin(100πt)]
x2=2[sin(120πt+{π/3})] where x is in centimetre and time is in seconds.
Find the displacement of the particle at t=1/80
Homework Equations
The Attempt at a Solution
The...
The carbon you referred to has 2 double bonds,1 on either side. To make 2 double bonds carbon requires 2 p orbitals...
This is similar to the case of the triple bond..
Homework Statement
Find the nth term and sum to n terms of the series 12,23,60,169,494..
Homework Equations
The Attempt at a Solution
well each term is the triple of the previous term minus some constant.
23=10*3-7
60=23*3-9
..
..
This way i am able to write the nth term as...
Homework Statement
A person driving a car suddenly sees a wall .At that instant velocity of the car is v. Coefficient of static and kinetic friction is μ. The mass of the car is M. To avoid the driver should ....(acc. due to gravity=g)
a)apply breaks
b)turn (the car shouldn't slip while...
I wasnt having any actual problem in solving questions it was just that i wanted to check whether or not i could derive relations by using different x-y directions, but the new general equations turned out to be useless.
from here i have got the relations
1)N=M.g.cosθ+M.a.sinθ
2) a.cosθ=g.sinθ
Edit:i have forgotten to consider the normal force from underneath , i'm going to re-write the equations
Edit: nevermind these equations are totally useless