University of Dundee Translational motion for 2 marker coordinates – calculate angle, angular velocity & acceleration in biomechanics
A sportsman is riding a bicycle. The bicycle motion is translational on the ground and the sportsmans trunk moves slightly forwards and backwards as he cycles. Two markers are used, one on the seat and the other on the shoulder of the cyclist. In order to investigate the kinematic parameters at the shoulder (as shown in the figure on the attachment) assume that the trunk rotates about the seat. The marker coordinates for a series of frames have been obtained using a motion capture system and are shown in the table overleaf.(i) Through what angle has the shoulder rotated about the seat from frame 1 to frame 4?(ii) What is the angular velocity that the shoulder rotated about the seat at frame 2?(iii) What is the angular acceleration that the shoulder rotated about the seat at frame 3?With all conditions used in question 21, continue to answer the following questions.(i) What is the velocity of the bicycle at frame 3?(ii) What is the acceleration of the bicycle at frame 3?(iii) What is the magnitude of the velocity of the shoulder relative to the seat at frame 3?(iv) What is the approximate acceleration of the shoulder relative to the ground at frame 3?
