A. A uniform meter stick of length L = 1.0 m has a 0.20 kg mass suspended by a string from its left side, and rests on a triangular support that is 0.25 m from the left side. If the meter stick is balanced what is its mass? L 0.20 kg

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Chapter1: Units, Trigonometry. And Vectors
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Balancing Stick
(Continued)
D. The meter stick has been cut in half. The right half is attached to a massless
frame that is free to rotate about the pivot. The 0.20 kg mass is suspended from
the left side of the frame 0.25 m from the pivot. Are the half meter stick, frame
and mass balanced? Explain.
LI4
LI4
0.20 kg
E. The full meter stick and 0.20 kg mass is tilted, held at rest, and gently released.
What will be its motion? Explain.
L
0.20 kg
Transcribed Image Text:Balancing Stick (Continued) D. The meter stick has been cut in half. The right half is attached to a massless frame that is free to rotate about the pivot. The 0.20 kg mass is suspended from the left side of the frame 0.25 m from the pivot. Are the half meter stick, frame and mass balanced? Explain. LI4 LI4 0.20 kg E. The full meter stick and 0.20 kg mass is tilted, held at rest, and gently released. What will be its motion? Explain. L 0.20 kg
Balancing Stick
A. A uniform meter stick of length L = 1.0 m has a 0.20 kg mass suspended by a
string from its left side, and rests on a triangular support that is 0.25 m from the
left side. If the meter stick is balanced what is its mass?
L
0.20 kg
B. What is the force exerted on the meter stick by the triangular support?
C. When an object is in static equilibrium, the total torque evaluated
around any point should equal zero. (Since it is not rotating, it shouldn't matter
where you choose the rotation axis.)
Can you show this is true for this meter stick? Write a list of the signs and
magnitudes of all the individual torques on the meter stick evaluated around the
following three points, and evaluate the sum in each case:
i.
The triangular support.
ii.
The far-left side of the meter stick, where the 0.20 kg mass is attached.
i.
The far-right side of the meter stick.
Transcribed Image Text:Balancing Stick A. A uniform meter stick of length L = 1.0 m has a 0.20 kg mass suspended by a string from its left side, and rests on a triangular support that is 0.25 m from the left side. If the meter stick is balanced what is its mass? L 0.20 kg B. What is the force exerted on the meter stick by the triangular support? C. When an object is in static equilibrium, the total torque evaluated around any point should equal zero. (Since it is not rotating, it shouldn't matter where you choose the rotation axis.) Can you show this is true for this meter stick? Write a list of the signs and magnitudes of all the individual torques on the meter stick evaluated around the following three points, and evaluate the sum in each case: i. The triangular support. ii. The far-left side of the meter stick, where the 0.20 kg mass is attached. i. The far-right side of the meter stick.
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