Need help with part ii). Projectile Motion Question (1 Viewer)

Trebla

Administrator
Administrator
Joined
Feb 16, 2005
Messages
8,144
Gender
Male
HSC
2006
The rectangle must lie within the annulus. The tightest configuration (the one with the minimum radius) is where the length of the rectangle is tangential to the inner circle (touching the midpoint of the rectangle’s length) and the opposite two vertices lie on the outer circle. It will easier to see when you draw it out.

For ease of computation, define the centre of the annulus to be the origin and its point of contact with the rectangle to be on the y-axis.

This point of contact has the coordinates


The coordinates of one of the opposite vertices of the rectangle is


This point should satisfy the equation


You can then solve to find the minimum value of inner radius.
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top