CM of Baseball Bat The "linear density" (mass per unit length) of a baseball bat increases with distance x from the thin end according to the function: A(x) = A + Bx A small piece of the bat 7 A B L XCM kg 0.472 1.32 k kg 0.897m m m² 0.531 with length dx has a mass of dmx(x)dx. 8 The bat has a length of L. The CM is a distance of CCM away from the handle. A kg m m L XCM 0.522m B kg 1.23年 0.894m
CM of Baseball Bat The "linear density" (mass per unit length) of a baseball bat increases with distance x from the thin end according to the function: A(x) = A + Bx A small piece of the bat 7 A B L XCM kg 0.472 1.32 k kg 0.897m m m² 0.531 with length dx has a mass of dmx(x)dx. 8 The bat has a length of L. The CM is a distance of CCM away from the handle. A kg m m L XCM 0.522m B kg 1.23年 0.894m
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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please help with #8
![B
L
XCM
kg
1.32 kg
0.897m
m²
CM of Baseball Bat
The "linear density"
(mass per unit length) of
a baseball bat increases
with distance x from the
thin end according to the
function:
A(x) = A + Bx
A small piece of the bat
with length da has a
mass of dm = (x)dx.
The bat has a length of L. The CM is a distance of
7
8
00
A
0.472-
0.531
m
CCM away from the handle.
m
A
B
L
XCM
kg
1.23 kg
0.894m
m
m²
0.522m
Type your answer...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30f2ef89-ce64-4161-b7cf-3fd72303d16e%2Fe1f94390-8328-41ba-ab2c-65b1a0caf906%2Fx0er9z6_processed.png&w=3840&q=75)
Transcribed Image Text:B
L
XCM
kg
1.32 kg
0.897m
m²
CM of Baseball Bat
The "linear density"
(mass per unit length) of
a baseball bat increases
with distance x from the
thin end according to the
function:
A(x) = A + Bx
A small piece of the bat
with length da has a
mass of dm = (x)dx.
The bat has a length of L. The CM is a distance of
7
8
00
A
0.472-
0.531
m
CCM away from the handle.
m
A
B
L
XCM
kg
1.23 kg
0.894m
m
m²
0.522m
Type your answer...
![Solution:
Formula for XCM for a continuous object (rather than
points):
√x(dm)
XCM
fdm
Plug in for dm:
√x(A+Bx)dx
√(A+Bx)dx
XCM
Integrate from x = 0 to x = L:
XCM
Clean up:
A¹² +B¹³
3
AL+B12
3A+2BL
XCM
L
6A+3BL](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30f2ef89-ce64-4161-b7cf-3fd72303d16e%2Fe1f94390-8328-41ba-ab2c-65b1a0caf906%2Flv0h3k_processed.png&w=3840&q=75)
Transcribed Image Text:Solution:
Formula for XCM for a continuous object (rather than
points):
√x(dm)
XCM
fdm
Plug in for dm:
√x(A+Bx)dx
√(A+Bx)dx
XCM
Integrate from x = 0 to x = L:
XCM
Clean up:
A¹² +B¹³
3
AL+B12
3A+2BL
XCM
L
6A+3BL
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