A particle of mass m1 and velocity u1 collides with a particle of mass m2 at rest. The two particles stick together. What fraction of the original kinetic energy is lost in the collision?
Conservation of momentum law
The Attempt at a Solution...
A cannon in a fort overlooking the ocean fires a shell of mass M at an elevation angle, theta and muzzle velocity, v0. At the highest point, the shell explodes into two fragments (masses m1 + m2 = M), with an additional energy E, traveling in the original horizontal...
Consider F(t) = sin(wt) when 0 < t < pi/w and 0 when pi/w < t < 2pi/w. Where w is the frequency and t is the time. Find the Fourier Series
F(t) = sum of (ck e^ikt)
See attached doc with math type; its a lot more readable.
A pendulum is suspended from the cusp of a cycloid cut in a rigid support. The path described by the pendulum bob is cycloidal and given by
x = a(phi – sin(phi)) y = a(cos(phi) – 1)
where the length of the pendulum is l = 4a, and where phi is the angle of rotation...
Hi, got my HW back from prof. There were a few problems... I want to understand these before the test.
Show that r(t) = (at^2)/2 + vt + r lies in a plane and that if a and v are not parallel, then r(t) traces out a parabola. Note a, v, and r are constant vectors here...