An exercise apparatus has a support frame and an exercise arm assembly pivotally linked to the support frame for swinging movement in at least one fixed arc about a first pivot axis, the exercise arm assembly including at least one rigid, elongate exercise arm. A flexible handle assembly is secured to the exercise arm, the handle assembly having a hand grip for gripping by a user, and a flexible line secured to the hand grip at one end and adjustably secured to the exercise arm to vary the extension of the line from the exercise arm. Upper body exercises are performed by moving the hand grip portion in different paths as permitted by the flexible line.