Questions and Answers
What is the magnitude of the force F₁?
200 N
What is the length of the stick shown in the figure?
0.5 m
What is the direction of the change in angular velocity of the stick when F₃ and F₄ are exerted on it?
Counterclockwise direction
When F₂ and F₃ are exerted on the stick, what will be the effect on the stick's angular velocity?
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Which of the four forces, when exerted in the absence of the other three forces, will change the angular velocity of the stick at the greatest rate?
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What is the net torque about the pivot point when all four forces are exerted on the stick?
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When F₁ and F₂ are exerted on the stick, what will be the effect on the stick's angular velocity?
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What is the unit of the angular momentum of the stick?
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Study Notes
Forces and Torque
- A uniform density stick is attached to a pivot at the right end, with equally spaced marks along its length.
- Four forces (F₁, F₂, F₃, and F₄) can be exerted on the stick.
Angular Momentum
- The angular momentum of the stick is being asked, with four options: 150 kg-m²/s, 450 kg-m²/s, 650 kg-m²/s, and 750 kg-m²/s.
Forces and Angular Velocity
- Two of the four forces can be exerted on the stick, affecting its angular velocity.
- Predictions about the change in angular velocity of the stick per unit of time:
- F₁ and F₂: greatest change in angular velocity per unit of time.
- F₁ and F₃: no change in angular velocity per unit of time.
- F₂ and F₃: change in angular velocity per unit of time, but rate not specified.
- F₃ and F₄: smallest change in angular velocity per unit of time.
Torque and Angular Velocity Change
- When a single force is exerted on the stick, the rate of change of its angular velocity varies.
- The force that changes the angular velocity of the stick at the smallest rate is being asked.
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