ENGR 215 ~ Dynamics Section 16.5

Relative Motion Analysis

The Big Helper Slide Clockwise Rotation = -ω Count-Clockwise Rotation = + ω - Relative position drawn from A to B

Lecture Example 1: Find the velocity vector of Point B at θ=10° when ω=2π rad/sec. The radius of the wheel is 1 meter. Assume the wheel is pinned at the center and will only rotate about its center. It will not roll.

Lecture Example 2: Find the velocity vector at Point B when θ=10° and when ω=2π rad/sec. The radius of the wheel is 1 meter. Assume the will roll.

Cycloids

Lecture Example 3: Find the velocity of the wagon wheel at Point A when the disk is rolling to the right with a velocity, v B, of v m/s. Assume no slippage between the wheel of radius, r and the ground.

Lecture Example 4: Determine the velocity of the piston C at Φ=30° and the angular velocity of BC.