A rod may freely rotate about an axis that is perpendicular to the rod and is along the plane of the page. The rod is divided into four sections of equal length of 0.2 m each, and four forces are exerted on the rod, as shown in the figure. Frictional forces are considered to be negligible. Which of the following correctly describes an additional torque that must be applied in order to keep the rod from rotating? - F2 = 30 N F, = 20 N F0.2 m F4 = 20 N F3 = 30 N

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Chapter10: Fixed-axis Rotation
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A rod may freely rotate about an axis that is perpendicular to the rod and
is along the plane of the page. The rod is divided into four sections of
equal length of 0.2 m each, and four forces are exerted on the rod, as
shown in the figure. Frictional forces are considered to be negligible.
Which of the following correctly describes an additional torque that must
be applied in order to keep the rod from rotating? *
F2 = 30 N
F, = 20 N
F0.2 m→
F4 = 20 N
F3 = 30 N
18 Nm counter-clockwise
18 Nm clockwise
50 Nm counter-clockwise
50 Nm clockwise
Transcribed Image Text:A rod may freely rotate about an axis that is perpendicular to the rod and is along the plane of the page. The rod is divided into four sections of equal length of 0.2 m each, and four forces are exerted on the rod, as shown in the figure. Frictional forces are considered to be negligible. Which of the following correctly describes an additional torque that must be applied in order to keep the rod from rotating? * F2 = 30 N F, = 20 N F0.2 m→ F4 = 20 N F3 = 30 N 18 Nm counter-clockwise 18 Nm clockwise 50 Nm counter-clockwise 50 Nm clockwise
Expert Solution
Fundamentals

The given situation is illustrated below:
Physics homework question answer, step 1, image 1

 

The torque is:
τ=r×F
Magnitude:
τ=rFsin(θ)
If θ=90° is the angle between the forces and the distance of the force from the axis of rotation, then:
τ=rF

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