FAYesF5 No, because the force i(b) Between F3 or F4 which force produces a larger torque?F3-because it is perpe(c) Calculate the torques produced by F3 and F4, including the sign of the torque indicating the senseof rotation, positive for counter-clockwise rotation and negative clockwise rotation.SearchHelp: When using the formula for torque, the angle is between the tails of which two vectors? Draw adiagram showing the vectors and F to figure out the angle to be used in the calculations of torque.NmTF3TF₁(d) Between F₂ and F4 which force produces the larger torque isF4- because it has a lar✓.(e) Calculate the torque produced by F₂, including the sign of the torque indicating the sense ofrotation - positive for counter-clockwise rotation and negative clockwise rotation.TF₂(f) Calculate the moment arms of F3 and F4. Note: Moment arms are distances and positive.F1,F3!NmNo, that's only partially correctTLF=Note: This question has 7 attemptsTry AgainNmYou scored 7 out of 12 in this assessment. You have 6 more attempts left.View Forum Activities (0 new of 0) 1. A meter rule is anchored at the point O and is free to rotate about an axis passing through O andperpendicular to the plane of the meter rule. Forces F₁, F2, F3, F4 and F5 of equal magnitudes act onthe ruler at different locations. The magnitude of each force is 24 N and 0 =30°. The distances alongthe ruler are given in cm.00O Search15 40F₁30=1617F₂V(a) Determine whether each force can or cannot rotate the ruler and select the correct rationale foryour answer.F₁ No, because it is on theF₂ YesF3 YesF4 YesF5 No, because the force i(b) Between F3 or F4 which force produces a larger torque?F3-because it is perpeV.(c) Calculate the torques produced by F3 and F4, including the sign of the torque indicating the senseof rotation, positive for counter-clockwise rotation and negative clockwise rotation.♫+✓✓✓✓Help: When using the formula for torque, the angle is between the tails of which two vectors? Draw adiagram showing the vectors 7 and F to figure out the angle to be used in the calculations of torque.XNmTF₂=TFAXNm(d) Between F₂ and F4 which force produces the larger torque isO6099+0f890F4fgKAA100Fsf10 DIIDDI112W

Resolve the components of F4. Vertical component is F4 cosθ = 24*cos(30) = 24×32 Vertical component of F4 is 123 And horizontal component is F4sinθ=24*sin(30) = 24*0.5 Horizontal component of F4 is 12. Now torque τ=r×F OR τ=rFsinθ where sinθ is the angle between r (the position at which force is applied from O) and F (the component of force responsible for turning effect) F3τ=rFsinθ=0.6×24×sin90 (as angle between r and F is 90°)=14.4 Nm (clockwise) Therefore τF3=-1440 (negative sign as the rotation is clockwise) F4τ=rF(vertical component) sinθ (vertical component will cause the ruler to rotate and not the horizontal component, horizontal component is acting along +ve x axis so its actually trying to pull out ruler from O) F4τ=0.6×123×sin90=12.47 Nm Clockwise so τF4=-12.47 Nm F2 is acting at distance r = 30cm = 0.3m F2τ=rFsinθ=0.3×24×sin30=3.6 clockwise vertical component of F2=F2cos30 = 123 TF2=0.3*123=6.23 Nm clockwise.Moment arms of F3 and F4 is 60cm or 0.6m

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(c) Calculate the torques produced by F3 and F4, including the sign of the torque indicating the sense of rotation, positive for counter-clockwise rotation and negative clockwise rotation. Help: When using the formula for torque, the angle is between the tails of which two vectors? Draw a diagram showing the vectors and F to figure out the angle to be used in the calculations of torque. XNm TF3= TFA XNm = (d) Between F₂ and F4 which force produces the larger torque is F4-because it has a lar V. (e) Calculate the torque produced by F2, including the sign of the torque indicating the sense of rotation - positive for counter-clockwise rotation and negative clockwise rotation. XNm TF₂ = (f) Calculate the moment arms of F3 and F4. Note: Moment arms are distances and positive. F1,F3 = √ TL.FA

(c) Calculate the torques produced by F3 and F4, including the sign of the torque indicating the sense of rotation, positive for counter-clockwise rotation and negative clockwise rotation. Help: When using the formula for torque, the angle is between the tails of which two vectors? Draw a diagram showing the vectors and F to figure out the angle to be used in the calculations of torque. XNm TF3= TFA XNm = (d) Between F₂ and F4 which force produces the larger torque is F4-because it has a lar V. (e) Calculate the torque produced by F2, including the sign of the torque indicating the sense of rotation - positive for counter-clockwise rotation and negative clockwise rotation. XNm TF₂ = (f) Calculate the moment arms of F3 and F4. Note: Moment arms are distances and positive. F1,F3 = √ TL.FA

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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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

FA
Yes
F5 No, because the force i
(b) Between F3 or F4 which force produces a larger torque?
F3-because it is perpe
(c) Calculate the torques produced by F3 and F4, including the sign of the torque indicating the sense
of rotation, positive for counter-clockwise rotation and negative clockwise rotation.
Search
Help: When using the formula for torque, the angle is between the tails of which two vectors? Draw a
diagram showing the vectors and F to figure out the angle to be used in the calculations of torque.
Nm
TF3
TF₁
(d) Between F₂ and F4 which force produces the larger torque is
F4- because it has a lar
✓.
(e) Calculate the torque produced by F₂, including the sign of the torque indicating the sense of
rotation - positive for counter-clockwise rotation and negative clockwise rotation.
TF₂
(f) Calculate the moment arms of F3 and F4. Note: Moment arms are distances and positive.
F1,F3
!
Nm
No, that's only partially correct
TLF=
Note: This question has 7 attempts
Try Again
Nm
You scored 7 out of 12 in this assessment. You have 6 more attempts left.
View Forum Activities (0 new of 0)

1. A meter rule is anchored at the point O and is free to rotate about an axis passing through O and
perpendicular to the plane of the meter rule. Forces F₁, F2, F3, F4 and F5 of equal magnitudes act on
the ruler at different locations. The magnitude of each force is 24 N and 0 =30°. The distances along
the ruler are given in cm.
00
O Search
15 40
F₁
30
=
16
17
F₂
V
(a) Determine whether each force can or cannot rotate the ruler and select the correct rationale for
your answer.
F₁ No, because it is on the
F₂ Yes
F3 Yes
F4 Yes
F5 No, because the force i
(b) Between F3 or F4 which force produces a larger torque?
F3-because it is perpe
V.
(c) Calculate the torques produced by F3 and F4, including the sign of the torque indicating the sense
of rotation, positive for counter-clockwise rotation and negative clockwise rotation.
♫+
✓
✓
✓
✓
Help: When using the formula for torque, the angle is between the tails of which two vectors? Draw a
diagram showing the vectors 7 and F to figure out the angle to be used in the calculations of torque.
X
Nm
TF₂=
TFA
XNm
(d) Between F₂ and F4 which force produces the larger torque is
O
60
99+
0
f8
90
F4
fg
KAA
100
Fs
f10 DII
DDI
112
W

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