Rotational Force Homework: Finding Angular Velocity

[engineertech0]

Homework Statement

A sheet of material, mass 2kg, uniform density, is in the shape of a right triangle bounded by the lines y=0, x=0, and y=4-x. Its attached to the origin, and free to rotate about the y axis. A force of 1000 Newtons is applied perpendicular to the plane, located at the x=4 point on the triangle as it starts to rotate. In a right-handed coordinate system, how fast will the object be spinning (in radians per second) as it crosses the y-z plane (that is, when it has rotated through 270 degrees)?

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

hi engineertech0!

show us what you've tried, and where you're stuck, and then we'll know how to help!