A rod is bent into an L shape and attached at one point to a pivot. (Figure 1)The rod sits on a frictionless table and the diagram is a view from above. This means that gravity can be ignored for this problem. There are three forces that are applied to the rod at different points and angles: F1, F₂, and F3. Note that the dimensions of the bent rod are in centimeters in the figure, although the answers are requested in SI units (kilograms, meters, seconds). Figure F₁ 3 cm Pivot 8 cm < 1 of 1 F 30° If the L-shaped rod has a moment of inertia I = 9 kg m², F₁ = 12 N, F₂ = 27 N, and again F3 = 0, how long a time t would it take for the object to move through 45° (π/4 radians)? Assume that as the object starts to move, each force moves with the object so as to retain its initial angle relative to the object. Express the time in seconds to two significant figures. ► View Available Hint(s) t = Submit Part C ——| ΑΣΦ Now consider the situation in which F₁ = 12 N and F2 = 0, but now a force with nonzero magnitude F3 is acting on the rod. What does F3 have to be to obtain equilibrium? Give a numerical answer, without trigonometric functions, in newtons, to two significant figures. ► View Available Hint(s) F3 = Submit ΠΫΠΙ ΑΣΦ N

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A rod is bent into an L shape and attached at one point to a
pivot. (Figure 1)The rod sits on a frictionless table and the
diagram is a view from above. This means that gravity can
be ignored for this problem. There are three forces that are
applied to the rod at different points and angles: F1, F2,
and F3. Note that the dimensions of the bent rod are in
centimeters in the figure, although the answers are
requested in SI units (kilograms, meters, seconds).
Figure
F₁
3 cm
Pivot
8 cm
15
<
1 of 1 >
30°
If the L-shaped rod has a moment of inertia I = 9 kg m², F₁ = 12 N, F2 = 27 N, and again F3 = 0, how long a time t would it take for the
object to move through 45° ( π/4 radians)?
Assume that as the object starts to move, each force moves with the object so as to retain its initial angle relative to the object.
Express the time in seconds to two significant figures.
► View Available Hint(s)
VE ΑΣΦ
t =
Submit
Part C
F3 =
Now consider the situation in which F₁
to be to obtain equilibrium?
Give a numerical answer, without trigonometric functions, in newtons, to two significant figures.
► View Available Hint(s)
VE ΑΣΦ
Submit
?
12 N and F2
www.
=
S
?
0, but now a force with nonzero magnitude F3 is acting on the rod. What does F3 have
N
Transcribed Image Text:A rod is bent into an L shape and attached at one point to a pivot. (Figure 1)The rod sits on a frictionless table and the diagram is a view from above. This means that gravity can be ignored for this problem. There are three forces that are applied to the rod at different points and angles: F1, F2, and F3. Note that the dimensions of the bent rod are in centimeters in the figure, although the answers are requested in SI units (kilograms, meters, seconds). Figure F₁ 3 cm Pivot 8 cm 15 < 1 of 1 > 30° If the L-shaped rod has a moment of inertia I = 9 kg m², F₁ = 12 N, F2 = 27 N, and again F3 = 0, how long a time t would it take for the object to move through 45° ( π/4 radians)? Assume that as the object starts to move, each force moves with the object so as to retain its initial angle relative to the object. Express the time in seconds to two significant figures. ► View Available Hint(s) VE ΑΣΦ t = Submit Part C F3 = Now consider the situation in which F₁ to be to obtain equilibrium? Give a numerical answer, without trigonometric functions, in newtons, to two significant figures. ► View Available Hint(s) VE ΑΣΦ Submit ? 12 N and F2 www. = S ? 0, but now a force with nonzero magnitude F3 is acting on the rod. What does F3 have N
A rod is bent into an L shape and attached at one point to a
pivot. (Figure 1)The rod sits on a frictionless table and the
diagram is a view from above. This means that gravity can
be ignored for this problem. There are three forces that are
applied to the rod at different points and angles: F₁, F2,
and F3. Note that the dimensions of the bent rod are in
centimeters in the figure, although the answers are
requested in SI units (kilograms, meters, seconds).
Figure
3 cm
Pivot
8 cm
<
F₂
F₂
1 of 1
30°
Part A
If F3 = 0 and F₁ = 12 N, what does the magnitude of F2 have to be for there to be rotational equilibrium?
Answer numerically in newtons to two significant figures.
► View Available Hint(s)
{—| ΑΣΦ
F2
=
Submit
Part B
t =
If the L-shaped rod has a moment of inertia I = 9 kg m², F₁ = 12 N, F₂ = 27 N, and again F3 = 0, how long a time t would it take for the
object to move through 45° (π/4 radians)?
Assume that as the object starts to move, each force moves with the object so as to retain its initial angle relative to the object.
Express the time in seconds to two significant figures.
► View Available Hint(s)
Submit
?
ΫΠ| ΑΣΦ
N
?
Transcribed Image Text:A rod is bent into an L shape and attached at one point to a pivot. (Figure 1)The rod sits on a frictionless table and the diagram is a view from above. This means that gravity can be ignored for this problem. There are three forces that are applied to the rod at different points and angles: F₁, F2, and F3. Note that the dimensions of the bent rod are in centimeters in the figure, although the answers are requested in SI units (kilograms, meters, seconds). Figure 3 cm Pivot 8 cm < F₂ F₂ 1 of 1 30° Part A If F3 = 0 and F₁ = 12 N, what does the magnitude of F2 have to be for there to be rotational equilibrium? Answer numerically in newtons to two significant figures. ► View Available Hint(s) {—| ΑΣΦ F2 = Submit Part B t = If the L-shaped rod has a moment of inertia I = 9 kg m², F₁ = 12 N, F₂ = 27 N, and again F3 = 0, how long a time t would it take for the object to move through 45° (π/4 radians)? Assume that as the object starts to move, each force moves with the object so as to retain its initial angle relative to the object. Express the time in seconds to two significant figures. ► View Available Hint(s) Submit ? ΫΠ| ΑΣΦ N ?
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