1. Consider the different cases described below for very thin meter sticks. (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 pivot that is 0.25 m from the left side. If the meter stick is in equilibrium, what is its mass? Explain. L 0.20 kg (b) What is the force exerted on the meter stick by the pivot. Explain your answer and reasoning. (c) Evaluate the total torque exerted on the meter stick about the pivot point. Repeat for the total torque evaluated about the left side of the meter stick, where the 0.20 kg mass is attached. Repeat for the total torque evaluated about the far right side of the meter stick. Can you generalize these results to a statement about evaluating the torque for a body that is in equilibrium?

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1. Consider the different cases described below for very thin meter sticks.
L
(a) A uniform meter stick of length L = 1.0m has a 0.20 kg
mass suspended by a string from its left side, and rests
on a pivot that is 0.25 m from the left side. If the meter
0.20 kg
stick is in equilibrium, what is its mass? Explain.
(b) What is the force exerted on the meter stick by the pivot. Explain your answer and reasoning.
(c) Evaluate the total torque exerted on the meter stick about the pivot point. Repeat for the total torque
evaluated about the left side of the meter stick, where the 0.20 kg mass is attached. Repeat for the
total torque evaluated about the far right side of the meter stick. Can you generalize these results to
a statement about evaluating the torque for a body that is in equilibrium?
(d) The meter stick has been cut in half. The right half is
LI4 LI4
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
0.20 kg
meter stick, frame and mass balanced? What is the mass
of the half meter stick? Is your answer consistent with
the mass of the full meter stick found in Part (a)?
L
(e) The full meter stick and 0.20 kg mass is tilted, held at
rest, and gently released. What will be its motion after
being released? Explain your reasoning. Remember that
we are assuming that the meter stick is very thin.
0.20 kg
Transcribed Image Text:1. Consider the different cases described below for very thin meter sticks. L (a) A uniform meter stick of length L = 1.0m has a 0.20 kg mass suspended by a string from its left side, and rests on a pivot that is 0.25 m from the left side. If the meter 0.20 kg stick is in equilibrium, what is its mass? Explain. (b) What is the force exerted on the meter stick by the pivot. Explain your answer and reasoning. (c) Evaluate the total torque exerted on the meter stick about the pivot point. Repeat for the total torque evaluated about the left side of the meter stick, where the 0.20 kg mass is attached. Repeat for the total torque evaluated about the far right side of the meter stick. Can you generalize these results to a statement about evaluating the torque for a body that is in equilibrium? (d) The meter stick has been cut in half. The right half is LI4 LI4 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 0.20 kg meter stick, frame and mass balanced? What is the mass of the half meter stick? Is your answer consistent with the mass of the full meter stick found in Part (a)? L (e) The full meter stick and 0.20 kg mass is tilted, held at rest, and gently released. What will be its motion after being released? Explain your reasoning. Remember that we are assuming that the meter stick is very thin. 0.20 kg
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