Posted on 2006-04-16
A) Prove that when an object starts from rest and rotates about a fixed axis wit a constant angular acceleration, the radial acceleration of a point in the object is directly proportional to its angular displacment.
This is how I did this part:
a_rad = w^2*r, where w = omega.
w^2 = w_0^2 + 2a(theta - theta0)
a_rad = 2ar(theta - theta0)
Where a = alpha, r = radius... This part seems correct
B) Through what angle has the object turned at the instant when the resultant accleration of a point makes an angle of 36.9 degrees with the radial acceleration.
I'm not sure how to do this part...