Can someone explain to me what a dot product and vector product of two vectors are? Be as detailed as possible please! And also why does the right hand rule for vectors work?
Yes this helped a lot! =D Thanks! ps sry it took me so long to get back, but I've read the solution right after you mailed it to me and i hadnt have time to respond
Help solving 2nd order differential equation please
While solving for the time it takes an object of mass, m, with initial velocity, v, to compress a spring with spring constant, k to the maximum compression, I came across the following differential equation
m(d^{2}x/dt^{2}) = kx - mg
I...
Suppose the ball starts at height, h, on the incline, inclined at angle x. We can make a list of facts first
-energy is conserved and transfered
-gravitational potential energy is converted into linear and rotational kinetic energy
-assuming that friction is strong enough that the ball does...
The energy lost due to friction is quite complicated to solve for, because as the ball slides down the hill of length h/sin\theta, it friction does NOT act on the ball for that length and instead the force of friction acts on the ball for a distance of h/sin\theta less the distance the ball...
Homework Statement
A ball is rolled down a rough hill with coefficient of \mu<tan\theta. The hill has a height of h. The ball has moment of inertia of I, mass of m, and radius of r, which are all constant. What is the final velocity of the ball at the bottom of the hill?
P.S. I made this...
Ok sorry about the delay but I haven't been on the computer for awhile, just checked my email and read that someone gave a reply.
My solution is as follows
starting from the top of the half circle, angle x is equal to 0 while after passing a half circle, angle x is 180
Btw I did use...
When an object does work on another object, it applies a force for a distance (W=Fd). Initially the work done or energy stored on a spring is (1/2)k(x1)^2 and the final is (1/2)k(x2)^2, which results in W=(1/2)k((x2)^2-(x1)^2). Now, when the spring releases, the initial position is x2 while the...
How long does it take a skateboarder to roll from the top of a half pipe of radius 2 meters to the bottom? Ignore friction, and assume the half pipe is in the shape of a semi circle. I tried to use integration to solve this but failed miserably, would someone please show me how to do this? Show...