Question

The length of the bar shown is L-4 ft and the angle 0=20". The angular velocity of the bar is w= 1.8 rad/s and its acceleration a-6 rad/s2. The ends of the bar slide on the flat surfaces Determine the acceleration of the midpoint G.

Answer 1

The acceleration of the midpoint G can be determined using the formula aG = a + rω²

Step-by-step explanation:

The acceleration of the midpoint of the bar can be determined by using the formula:

aG = a + rω²

where aG is the acceleration of the midpoint G, a is the angular acceleration, r is the distance from the midpoint to the center of the bar, and ω is the angular velocity.

Substituting the given values, we have:

aG = 6 - 4(1.8)²

aG = 6 - 4(3.24)

aG = 6 - 12.96

aG = -6.96 rad/s²