### Question Description

Hi please I need you to watch the video to have the correct measurement

The video calls out all of the measurements as he goes through it and provides all of the values at the end.

https://www.youtube.com/watch?v=YjbHWZgzheE&feature=youtu.be

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## Final Answer

Hey there! Here's the lab sheet. I uploaded a Word version and a PDF version in case the equations don't get encoded in the Word file. Let me know if you have any questions! Thank you so much! 😀

PHYS 1401 General Physics I

Torques

Data Table

Mass of meter stick, 𝑚𝑚𝑒𝑡𝑒𝑟 𝑠𝑡𝑖𝑐𝑘 = 87 g

Balancing point (center of mass) of meter stick, 𝑥0 = 50.5 cm

Case 1

m1 = 100 g

m2 = 200 g

Values

x1 = 15 cm

x2 = 68.3 cm

Moment (lever) arms

r1 = 35.5 cm

r2 = 17.8 cm

Results

τcc = 0.3479 Nm

τcw = 0.3489 Nm

Perc. Diff. = 0.28 %

Values

x1 = 20 cm

x2 = 60 cm

x3 = 73.5 cm

Moment (lever) arms

r1 = 30.5 cm

r2 = 9.5 cm

r3 = 23.0 cm

Results

τcc = 0.2989 Nm

τcw = 0.1862 Nm + 0.1127 Nm

Perc. Diff. = 0.00 %

Values

Moment (lever) arms

Results

m1 = 226 g

(measured on scale/accepted)

m1 = 225.9 g

(calculated, experimental)

Perc. Error = 0.0442 %

Case 2

m1 = 100 g

m2 = 200 g

m3 = 50 g

Case 3

m1 = ?

x1 = 10 cm

r1 = 40.5

m2 = 300 g

x2 = 81.0 cm

r2 = 30.5

Case 4

Values

m1 = 100 g

x1 = 0.3 cm

mmeterstick = 87 g

xo = 50.5 cm

xo’ = 23.7 cm

Diagrams and Calculations

Moment (lever) arms

r1 = 23.4 cm

r2 = 26.8 cm

Results

τcc = 0.2293 Nm

τcw = 0.2285 Nm

Perc. Diff. = 0.349 %

Case 1

x2 = 68.3 cm

x1 = 15 cm

r1 = 35.5 cm

r2 = 17.8

cm

m2 = 200 g

m1 = 100 g

F1 = m1 x g

F2 = m2 x g

xo = 50.5 cm

*All measurements are converted to their SI Unit counterparts. The equation for torque is given by 𝜏 =

𝑟𝐹 sin 𝜃. Since the moment (lever) arms and the forces are perpendicular, sin θ = sin 90° = 1. Therefore,

the sin θ expression is omitted in the calculations.

𝜏𝑐𝑐 = 𝑟1 𝑥 𝐹1 = 35.5 𝑐𝑚 (

𝜏𝑐𝑐

1𝑚

1 𝑘𝑔

𝑚

) 𝑥 100 𝑔 (

) (9.8 2 )

100 𝑐𝑚

1000 𝑔

𝑠

= 0.3479 𝑁𝑚

1𝑚

1 𝑘𝑔

𝑚

) 𝑥 200 𝑔 (

) (9.8 2 )

100 𝑐𝑚

1000 𝑔

𝑠

= 0.3489 𝑁𝑚

𝜏𝑐𝑤 = 𝑟2 𝑥 𝐹2 = 17.8 𝑐𝑚 ...

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