In: Physics
a) Consider an object of mass m=0.527kg rotates on circular path of radius r=1.82 m. Object starts at rest and slowly increase its angular velocity at constant angular acceleration of 0.128 rad/s2.
I. Find the angular velocity of the object after 35 seconds?
II. Find the magnitude and direction of resultant linear acceleration after 35 seconds?
III. Find the net force acting on the object after 35 seconds?
b) Consider the same above object of mass m=0.527kg rotates around its center of mass with non- uniform, time dependent angular acceleration as follows: ?(?) = [2.67 ?^3 + 5.18 ?^2 − 4.31 ?] rad/s^2
I. Find the equation for angular velocity of the object (? = 0,
? = 0)?
II. Find the equation for angular displacement of the object (? = 0, ? = 0)?