Recent content by Gopal Mailpalli

Self Study 1. Homework Statement Consider a periodic function f (x), with periodicity 2π, Homework Equations ##A_{0} = \frac{2}{L}\int_{X_{o}}^{X_{o}+L}f(x)dx## ##A_{n} = \frac{2}{L}\int_{X_{o}}^{X_{o}+L}f(x)cos\frac{2\pi rx}{L}dx## ##B_{n} =...

Still, i couldn't solve the problem.

Then how do I approach the problem? I don't have an idea.

I mean sum of the geometric progression, which i got 4h/3.

I found the coefficient of restitution which is 0.5, found out the height using the respective COR - Height relation and formed a geometric progression. I calculated the total height and went further to solve the time it takes using basic laws of motion.

Excuse me! Some where I did a mistake, i assumed the the initial Kinetic energy be K and next consecutive terms are (1/4)K, (1/4)^2 K ... This represents a Geometric Progression, this is how I approached the problem.

Homework Statement A ball is dropped vertically from a height H on to a plane surface and permitted to bounce repeatedly along a vertical line. After every bounce, its kinetic energy becomes a quarter of its kinetic energy before the bounce. The ball will come to rest after time? Homework...

For t = 3/2, the velocity is zero. Based on the graph, the position of the object is constant w.r.t time. How would one determine the acceleration then?

Thank you, i understood that at extreme positions, the velocity remains zero but acceleration is non-zero (changes its sign)

Pardon me, I didn't understand the question.

Velocity is -2t + 3 and acceleration is -2, with its respective units.

Velocity is defined as the rate of change of position. Velocity is the first derivative of position with respect to time, where as acceleration is the second derivative of position.

The rate of change of velocity is acceleration.

No dale, it isn't home work. While doing a problem (self-study), i came across this. So asked here.

Can you list few examples.