Recent content by tjr39

Homework Statement The sine wave sin(t) will only drive the harmonic oscillator y'' + \omega ^2 y into resonance when \omega = 1 . For what values of \omega will the half- and full-wave rectified sine waves drive the harmonic oscillator into resonance. Homework Equations The...

Homework Statement Consider the following three solid object all made of the same material; 1) Cube of edge length r 2) Sphere of radius r 3) Hemisphere of radius r All object are maintained at a temperature 350K in an envorinment at temperature 300K. Rank the objects according to the...

First you should change the rotational speed into usefull units ie radians or degrees per second Second, you need to use the angular displacement and the rotational speed to find the time it took for the bullet to pass from first to second piece of paper. Third you will need to use this...

The force on a charged particle in a Magnetic Field B is given by F = q(v X B). The force required to accelerate a particle of velocity v in a circular motion is related to the radius of the circular path and the mass of the particle by F=(m*v^2)/r Omega can also be expressed as v/r. By...

Cool thanks I got it now.

Homework Statement Prove by induction that the n^{th} derivative of f(x)=\sqrt{1-x} is f^{(n)}(x)=-\frac{(2n)!}{4^{n}n!(2n-1)}(1-x)^{\frac{1}{2}-n} for all n geater or equal to 1 Homework Equations The Attempt at a Solution To start I showed that it is true for n=1...

What would the average Math and/or Physics Teacher with a Bachelor of Science (double major in Math and Phys with a post grad diploma in secondary school teaching) start out earning in UK?? USA?? Canada?? Australia??

Break it down into two smaller and easier problems. And draw yourself a diagram! Solve using Pythagoras a² + b² = c²

If F=ma and F=-kx Then ma=-kx (by equating the forces.) Which can be also written as ma+kx=0 or a+\frac{k}{m}x=0 Now if x is displacement, differentiating once with respect to time will give you velocity of the spring and then differentiating again with respect to time will give...

[SOLVED] Lightly damped spring system Q Homework Statement Consider a lightly damped mass-on-a-spring vibrational system. How should motion be initiated so that the amplitude of the spring is given by; \Psi(t)=Ce^{-\frac{\lambda}{2}t}Cos(\omega_{r}t+\pi) Homework...

Homework Statement Given an RC circuit which has a Capacitor (C=6\times 10^{-6} F) and a resistor (R=5 \Omega) conected in series to an a.c. voltage source of the form v=V_{0} e^{j\omega t} with a V_{0}=1 Volt. Frequency f=10kHz a)What is the phase of the current with respect to the applied...