Biomechanical Physics and Computation……………………

(b) Let us say that a bowler releases the ball after rotating the arm by 2250. As the ball is rotating about a fixed axis of rotation (around the shoulder), we can use rotational kinematics to analyze the kinematics and kinetics of the ball. Estimating the torque applied about the shoulder is 100 Nm (i) The work done by torque for the angular displacement is very similar to the work equation for rectilinear motion. W = T?. The kinetic energy of a particle undergoing rotational motion KE = 0.5I?2. I is the mass moment of inertia and is a measure of the resistance of a body to rotational motion. Using these two relationships write down the angular work-energy equation equivalent to that which was presented in class for rectangular Cartesian motion. Calculate the linear, tangential velocity of the ball when it is released by the bowler at 2250. [2 marks] (ii) If you had not guessed yet from (a), the velocity we have calculated for the ball is the velocity of the ball relative to the bowler’s body. With the bowler running at 8 m/s, calculate what the magnitude of the absolute velocity of the ball is. Assume that when the ball is released, the velocity vector





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