Calculate the moment of inertia of a baseball bat for the following cases. (a) Assume the...

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Physics

Calculate the moment of inertia of a baseball bat for thefollowing cases. (a) Assume the bat is a wooden rod of uniformdiameter and take the pivot point to be in the middle of the bat,at the end of the bat, and 5 cm from the end of the handle, where abatter who \"chokes up\" on the bat would place his hands.Hint: Consider the bat as two rods held together at thepivot point.

a) Estimate the mass of the bat.

m=.552kg

Estimate the length of the bat

estimated length= .75m

(i) in the middle of the bat (Use your estimate.)

(ii) at the end of the bat (Use your estimate.)

(iii) 5 cm from the end of the handle (Use your estimate.)

(b) Assume a realistic bat, which is narrower at the handle thanat the opposite end, and consider the three locations from part(a). (i) The estimate from part (a) for the moment of inertia inthe middle of the bat is which of the following?

a) too high, b)approximately equal, c) too low

(ii) The estimate from part (a) for the moment of inertia at theend of the bat is which of the following?

a) too high, b)approximately equal, c) too low

(iii) The estimate from part (a) for the moment of inertia 5 cmfrom the end of the handle is which of the following?

a) too high, b)approximately equal, c) too low

Answer & Explanation Solved by verified expert
4.3 Ratings (575 Votes)
Let handle d 25 mm and bat D 50 mm Let handle length l 250 mm and bat length L 500 mm Density of wood rho 500 kgm3 a Total volume V volume of handle volume of bat pi4d2l pi4D2 L 314 4 00252 025 314 4 005 2 05 00011 m3 Mass of bat rhoV    See Answer
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