Force and Torque LabForce and Torque LabBy Ciara Benson,By Ciara Benson,

Amy and Amanda Baer-Peckham, Amy and Amanda Baer-Peckham,

and Ava Linvogand Ava Linvog

TranslationalTranslational

Free Body DiagramFree Body Diagram

11

22

30.2°30.2°

NN

TT

mm11gsingsinθθ

TT

WW11

WW22

Known ValuesKnown Values

WW11 = 11.16 N = 11.16 N

WW22 = 11.29 N = 11.29 N

θθ = 30.2° = 30.2°

EquationsEquations

∑∑FF11 = T - F = T - Fff - m - m11gsingsinθθ

∑∑FF11 = T - = T - μμmm11gcosgcosθθ - m - m11gsingsinθθ

μμ = (T - m = (T - m11gsingsinθθ)/(m)/(m11gcosgcosθθ))

∑∑FF22 = T - m = T - m22gg

T = mT = m22gg

Experimental ValuesExperimental Values

μμ = 0.59 ± .01 = 0.59 ± .01

T = 11.29 ± .01 NT = 11.29 ± .01 N

RotationalRotational

Free Body DiagramFree Body Diagram

AppleAppleWineWine

ThumThumbb

FingersFingersApple - .1755 mApple - .1755 m

Wine - .0769 mWine - .0769 m

Fingers - .0373 mFingers - .0373 m

Plate - .0808 mPlate - .0808 m

NNAA

WWAA

NNWW

WWWW

FFFF

FFTT

WWPP

PlatePlate

NNPP

Known ValuesKnown Values

WWAA = 2.332 N = 2.332 N

WWWW = 2.058 N = 2.058 N

WWPP = 7.781 N = 7.781 N

rrAA = .1755 m = .1755 m

rrWW = .0769 = .0769 mm

rrPP = .0808 m = .0808 m

rrFF = .0373 m = .0373 m

EquationsEquations

∑∑FFyy = W = WAA + W + WWW + W + WPP + F + FTT - F - FFF

FFTT = -W = -WAA - W - WWW - W - WPP - F - FFF

∑∑ƬƬ = W = WAArrAA + W + WWWrrWW + W + WPPrrPP - F - FFFrrFF

FFFF = (W = (WAArrAA + W + WWWrrWW + W + WPPrrPP)/ r)/ rFF

Experimental ValuesExperimental Values

FFFF = 21.75 ± .01 N = 21.75 ± .01 N

FFTT = -33.92 ± .01 N = -33.92 ± .01 N

ErrorsErrors

TranslationalTranslational

Friction between Friction between string and pianostring and piano

ScaleScale

ProtractorProtractor

RotationalRotational

Bent plateBent plate

Dots on plateDots on plate

ScaleScale