A team of students is developing a batting machine. It is composed of a bat leng

Question

A team of students is developing a batting machine. It is composed of a bat length L and mass mt. It is to strike a ball of mass mb that has a speed S at impact with the bat. the bat is attached to a pin joint at its end and is restrained by a torsional spring of constant K (units of force-length/radian). The bat swings in a plane. There is constant dry friction causing an opposing torque T at the pin joint. The coefficient of restitution of the bat-ball system is er. Determine: A) The best location in the swing to strike the ball. Assume the spring is unwound when its angle is zero and the machine only allows a rotation of 180 degrees. B) The best location along the bat to strike the ball, this should examine both the balls speed after impact and the load on the pin joint of the machine.

Explanation / Answer

Too often we see players nudging or rolling their balls in the fairway to determine if it's their ball in play. That is a one-stroke penalty and the ball must be replaced. If the ball is not replaced, the penalty becomes two strokes. If a player has reason to believe a ball at rest is their ball, and it is necessary to lift the ball in order to identify it, the ball may be lifted, without penalty. BEFORE LIFTING THE BALL, the player MUST ANNOUNCE HIS INTENTION to his opponent in match play or his fellow competitor in stroke play and MARK THE POSITION OF THE BALL. The player may then lift the ball and identify it, provided that he gives his opponent or fellow competitor an opportunity to observe the lifting and replacement. The ball must not be cleaned beyond the extent necessary for identification when lifted under this rule.

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