Question

Babe Ruth steps to the plate and casually points to left centerfield to indicate the location of his next home run. Themighty Babe holds his bat across his shoulder, with one handholding the small end of the bat. The bat is horizontal, andthe distance from the small end of the bat to the shoulder is22.5cm. If the bat has a mass of 1.1kg and has a center ofmass that is 67vm from the small end of the bat, find the magnitudeand direction of the force exerted by:________
a) the hand
b) the shoulder.

Answer 1

Answer:

Fs = 32N

Fh = 21 N

Explanation:

Statics

Let Fs be the force of the shoulder, assumed upward

Let Fh be the force of the hand, assumed downward

Sum moments about the hand to zero

1.1(9.8)[67] - Fs[22.5] = 0

Fs = 32N

Sum vertical forces to zero

32 - Fh - 1.1(9.8) = 0

Fh = 21 N

Or we could sum moments about the shoulder point

1.1(9.8)[67 - 22.5] - Fh[22.5] = 0

Fh = 21 N