Exercise 3.11 E

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
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Show according to the rules of the laws of statics, that the system is in balance with respect to forces.

Answer: System is in balance with respect to forces.

Exercise 3.11 F

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
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Show by calculation that the torque balance is valid (rotational analog of Newton´s second law for a rigid body).

Answer: Torque balance is valid

Exercise 3.11 G

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
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★★★★★Very difficult

Determine the minimum buckling force theoretically and experimentally to a rod that is supported in four different ways. Compare the results obtained with each other. Also draw theoretical buckling images and compare them to the buckling seen in the video.

Answer: Theoretical and experimental buckling forces are approximately equal.

Exercise 3.12 A

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
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Specify the average rotational speed of the wheel.

Answer: $0{,}81\ r/s$

Exercise 3.12 B

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
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Specify the rotation speed of the tennis ball in rpm (revolutions per minute).

Answer: 1500 rpm

Exercise 3.12 C

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
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Specify the angular velocity of the wheel.

Answer: $5{,}0\ \frac{rad}{s}-\ 5{,}1\ \frac{rad}{s}$

Exercise 3.12 D

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
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What is the average velocity on the outer surface in the circular orbit of the wheel? (average speed at the rim of the wheel?)

Answer: $1{,}2\ m/s$

Exercise 3.12 E

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
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What is the average centripetal acceleration at the rim of the wheel?

Answer: $6{,}2\ \frac{m}{s^2}$

Exercise 3.12 F

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
★★★Demanding
★★★★Difficult
★★★★★Very difficult

Determine the angular acceleration of the wheel.

Answer: $0{,}10\ \frac{rad}{s^2}$

Exercise 3.12 G

DifficultySecondary SchoolHigh school/other
BasicEasy
★★DemandingBasic
★★★Demanding
★★★★Difficult
★★★★★Very difficult

What is the tangential acceleration at the wheel rim?

Answer: $0,023\ \frac{m}{s^2}$