Graphical Mechanics

A particle of mass mm is released from origin on a wedge shaped as y=x4y = -x^4 and given a very slight push to the right. After falling through height hh, it loses contact with the wedge. Find hh.

If h=ab where a,bN and gcd(a,b)=1\displaystyle h = \frac{a}{b} \text{ where } a, b \in \N \text{ and } \gcd(a, b) = 1, Enter answer as a+ba + b.


Details and Assumptions:

  • Take acceleration due to gravity g=10m/s2\color{#3D99F6}{g = 10m/s^2}
  • Very slight push means initial velocity u0\color{#3D99F6}{u \approx 0}
  • All surfaces are smooth\color{#3D99F6}{\text{smooth}}

Inspiration Aniket Sanghi


All of my problems are original

×

Problem Loading...

Note Loading...

Set Loading...