- #1
DTskkaii
- 19
- 0
Homework Statement
The uniform 3.6m pole is hinged to the truck bed and released from the vertical position as the truck starts from rest with than acceleration of 0.9m/s^2. If the acceleration remains constant during the motion of the pole, calculate the angular velocity of the pole as it reaches the horizontal position.
Diagram attached.
Homework Equations
I believe these equations are relevant, however, I am not given a mass for the pole, so I'm not entirely sure.
a(tangential)=mrθ''
a(normal) = mrω^2
ƩMo=Iθ''+Ʃma(vector)d
I=k^2m
ω=2Vx
ω=(ωo^2+2aθ)^(1/2)
The Attempt at a Solution
So I eventually want to realize the angular velocity ω.
I have done a similar question that utilised energy and momentum methods, however, with a negligible mass, I'm not sure whether that will affect the equations, since the example question used mass.
So essentially, I believe it may be using the last formula I provided, since it is not determined by time or mass.
So, all I need to find is the acceleration, since I already know that ωo is at rest, and θ=90. Finding the acceleration, from the given positive direction of acceleration of the truck body, is something that I can't figure out.
Thankyou for any feedback!