# Mechanical Principles Dynamics of Rotating Systems

1. May 31, 2017

### mally baringon

1. For the mechanism shown in FIGURE 1 determine for the angle
θ = 45°:

(i) the velocity of the piston relative to the fixed point O (VBO)
(ii) the angular velocity of AB about point A (i.e. ωAB)
(iii) the acceleration of point B relative to A (aBA).

(b) Determine the value of the angle θ (measured from vertical) when:
(i) the velocity of point B = 0
(ii) the angular velocity of link AB a maximum.

(c) What is the maximum angular velocity of link AB?

2. Relevant equations
Vao = Loa x ωoa

3. The attempt at a solution
Vao = Loa x ωoa = 0.005 x 10pi 0.1570

velocity triangle cosθ = Vbo/Vao

VBo =cos45 x Nao = 0.707 x 1.5708 = 1.1107 m/s^-1

I just have no idea where to start or what numbers to use where

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2. May 31, 2017

### Diegor

Try to define de displacement of point B as a function of de alngle theta. You can define vectors from origin O to help you.

3. May 31, 2017

### haruspex

That would certainly work, but is unnecessarily complicated for the specific questions asked.
@mally baringon, if you resolve the instantaneous velocities of A and B into components along the rod and normal to the rod, what relationship must exist between them?