Babe Ruth steps to the plate and casually points to left center field to indicat

Question

Babe Ruth steps to the plate and casually points to left center field to indicate the location of his next home run. The mighty Babe holds his bat across his shoulder, with one hand holding the small end of the bat. The bat is horizontal, and the distance from the small end of the bat to the shoulder is 25.5cm . The bat has a mass of 1.10kg and has a center of mass that is 70.0cm from the small end of the bat.

Part A

Find the magnitude of the force exerted by the hand?

Part B

Find the magnitude of the force exerted by the shoulder.

Explanation / Answer

Babe Ruth steps to the plate and casually points to left center field to indicate the location of his next home run. The mighty Babe holds his bat across his shoulder, with one hand holding the small end of the bat. The bat is horizontal, and the distance from the small end of the bat to the shoulder is 25.5cm . The bat has a mass of 1.10kg and has a center of mass that is 70.0cm from the small end of the bat.

Part A

Find the magnitude of the force exerted by the hand?

Part B

Find the magnitude of the force exerted by the shoulder.

Comment

(70 - 25.5) = 44.5cm. from shoulder to bat CM.
(1.1kg x 44.5) = 48.95kg/cm. torque.
(48.95/25.5) = 1.91kg.
a) (1.91x 9.8) = 18.71N. force on the hand.
b) (1.10 x 9.8) = 10.78N.
(10.78x 70) = 754.6N/cm.
(754.6/25.5) = 29.59N. exerted by shoulder.

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