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angular momentum formula
moment of inertia x angular velocity
angular momentum
rotating body will rotate indefinitely unless an external force acts upon it
moment of inertia
resistance of rotation
angular velocity
rate of change in angular position

what is happening in the image
racquet D has a longer handle which increases the moment of inertia and makes the racquet more difficult to control.
racquet d has a shorter handle which brings the mass of the racquet closer to the axis of rotation, making it easier to control

which athlete can perform the sit up easier and why?
the athlete on the left brings the mass of the ball closer to his axis of rotaion, making it easier to perform the sit up. the athlete on the right has the mass of the ball further away from the axis of rotation making it harder to perform the situp.