For equal masses m are located at the corners of a square of side L, connected by essentially massless rods. Find the rotational inertia of this system about an axis (a) that coincides with one side and (b) that bisects two opposite sides.

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Chapter1: Units, Trigonometry. And Vectors
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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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For equal masses m are located at the corners of a square of side L, connected by essentially massless rods. Find the rotational inertia of this system about an axis (a) that coincides with one side and (b) that bisects two opposite sides.

a grandfather clock when the clock reads 10 past the hour. What
torque does the mouse's weight exert about the rotation axis of the
clock hand?
22-cm-long minute
anuiu
tional
35. What fraction of a solh
rolling without slippin
36. A rolling ball has tota
tional energy. Is the
22.
You have your bicycle upside down for repairs. The front wheel is
free to rotate and is perfectly balanced except for the 22-g valve stem.
If the valve stem is 32 cm from the rotation axis and at 23° below the
horizontal, what's the resulting torque about the wheel's axis?
Example V ariatio
The following proble
text. Each set of fou
nections that enha
Section 10.3
Rotational Inertia and the Analog
of Newton's Law
23. Four equal masses m are located at the corners of a square of side
EE.O1
L, connected by essentially massless rods. Find the rotational in-
ertia of this system about an axis (a) that coincides with one side
and (b) that bisects two opposite sides.
your confidence
seen before. The
problem but wi
the same sceno
24. The shaft connecting a power plant's turbine and electric gener-
ator is a solid cylinder of mass 6.4 Mg and diameter 91 cm. Find
its rotational inertia.
third and fou
ent scenario
25. The chamber of a rock-tumbling mạchine is a hollow cylinder
37. Exam
with mass 100 g and radius 7.3 cm. The chamber is closed by
with
end caps in the form of uniform circular disks, each of mass 24 g.
Tre
Transcribed Image Text:a grandfather clock when the clock reads 10 past the hour. What torque does the mouse's weight exert about the rotation axis of the clock hand? 22-cm-long minute anuiu tional 35. What fraction of a solh rolling without slippin 36. A rolling ball has tota tional energy. Is the 22. You have your bicycle upside down for repairs. The front wheel is free to rotate and is perfectly balanced except for the 22-g valve stem. If the valve stem is 32 cm from the rotation axis and at 23° below the horizontal, what's the resulting torque about the wheel's axis? Example V ariatio The following proble text. Each set of fou nections that enha Section 10.3 Rotational Inertia and the Analog of Newton's Law 23. Four equal masses m are located at the corners of a square of side EE.O1 L, connected by essentially massless rods. Find the rotational in- ertia of this system about an axis (a) that coincides with one side and (b) that bisects two opposite sides. your confidence seen before. The problem but wi the same sceno 24. The shaft connecting a power plant's turbine and electric gener- ator is a solid cylinder of mass 6.4 Mg and diameter 91 cm. Find its rotational inertia. third and fou ent scenario 25. The chamber of a rock-tumbling mạchine is a hollow cylinder 37. Exam with mass 100 g and radius 7.3 cm. The chamber is closed by with end caps in the form of uniform circular disks, each of mass 24 g. Tre
21.
(b) at an angle of 104° to the wr
21. A 30-g mouse runs out to the end of the 22-cm-long minute hand
of a grandfather clock when the clock reads 10 past the hour. What
torque does the mouse's weight exert about the rotation axis of the
clock hand?
34. A
tional kinetic energy
35.
What fraction of a solid disk's kinetic ene
rolling without slipping?
36. A rolling ball has total kinetic energy 10C
tional energy. Is the ball solid or hollow
22.
You have your bicycle upside down for repairs. The front wheel is
free to rotate and is perfectly balanced except for the 22-g valve stem.
If the valve stem is 32 cm from the rotation axis and at 23° below the
horizontal, what's the resulting torque about the wheel's axis?
Example Variations
The following problems are based on two
text. Each set of four problems is desig
nections that enhance your understan
your confidence in solving problems
seen before. The first problem in eac
problem but with different numbers
the same scenario as the example
third and fourth problems repeat ti
Section 10.3 Rotational Inertia and the Analog
of Newton's Law
23. Four equal masses m are located at the corners of a square of side
L, connected by essentially massless rods. Find the rotational in-
ertia of this system about an axis (a) that coincides with one side
and (b) that bisects two opposite sides.
24. The shaft connecting a power plant's turbine and electric gener-
ator is a solid cylinder of mass 6.4 Mg and diameter 91 cm. Find
ent scenarios.
its rotational inertia.
25. The chamber of a rock-tumbling machine is a hollow cylinder
37. Example 10.5: (a) Find th
with mass 172 g about a
Treat the stick as a thin r
with mass 100 g and radius 7.3 cm. The chamber is closed by
end caps in the form of uniform circular disks, each of mass 24 g.
Find (a) the rotational inertia of the chamber about its central
axis and (b) the torque needed to give the chamber an angular
acceleration of 3.2 rad/s².
cm. You can treat the st
Table 10.2). If you do s
part (a) in error?
38. Example 10.5: The ro
Transcribed Image Text:21. (b) at an angle of 104° to the wr 21. A 30-g mouse runs out to the end of the 22-cm-long minute hand of a grandfather clock when the clock reads 10 past the hour. What torque does the mouse's weight exert about the rotation axis of the clock hand? 34. A tional kinetic energy 35. What fraction of a solid disk's kinetic ene rolling without slipping? 36. A rolling ball has total kinetic energy 10C tional energy. Is the ball solid or hollow 22. You have your bicycle upside down for repairs. The front wheel is free to rotate and is perfectly balanced except for the 22-g valve stem. If the valve stem is 32 cm from the rotation axis and at 23° below the horizontal, what's the resulting torque about the wheel's axis? Example Variations The following problems are based on two text. Each set of four problems is desig nections that enhance your understan your confidence in solving problems seen before. The first problem in eac problem but with different numbers the same scenario as the example third and fourth problems repeat ti Section 10.3 Rotational Inertia and the Analog of Newton's Law 23. Four equal masses m are located at the corners of a square of side L, connected by essentially massless rods. Find the rotational in- ertia of this system about an axis (a) that coincides with one side and (b) that bisects two opposite sides. 24. The shaft connecting a power plant's turbine and electric gener- ator is a solid cylinder of mass 6.4 Mg and diameter 91 cm. Find ent scenarios. its rotational inertia. 25. The chamber of a rock-tumbling machine is a hollow cylinder 37. Example 10.5: (a) Find th with mass 172 g about a Treat the stick as a thin r with mass 100 g and radius 7.3 cm. The chamber is closed by end caps in the form of uniform circular disks, each of mass 24 g. Find (a) the rotational inertia of the chamber about its central axis and (b) the torque needed to give the chamber an angular acceleration of 3.2 rad/s². cm. You can treat the st Table 10.2). If you do s part (a) in error? 38. Example 10.5: The ro
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