a gyroscope is made from a wheel mounted horizontally on a light axle (see figure). The axle pivots freely at one end, which is l =0.100m from the centre of the wheel. The wheel is a uniform disk with a radius of R=0.204m and mass M and rotates at angular speed ? =28.1s^-1 in the direction shown. Calculate the precession speed Ω. Express your answer as a positive number if the precession is anticlockwise viewed from above (i.e. the gyroscope initially moves away from you) and as a negative number otherwise.

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a gyroscope is made from a wheel mounted horizontally on a light axle (see figure). The axle pivots freely at one end, which is l =0.100m from the centre of the wheel. The wheel is a uniform disk with a radius of R=0.204m and mass M and rotates at angular speed ? =28.1s^-1 in the direction shown.

Calculate the precession speed Ω. Express your answer as a positive number if the precession is anticlockwise viewed from above (i.e. the gyroscope initially moves away from you) and as a negative number otherwise.

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Step 1: Draw the given diagram.

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Step 2: Calculate the precession speed Ω.

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To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

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To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

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Answer 19

Follow-up Question

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

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Answer 20

Follow-up Question

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

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Answer 21

Follow-up Question

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

Answer 22

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Answer 23

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Answer 24

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

Answer 25

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

Answer 26

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Answer 31

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To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

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Answer 32

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To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

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Answer 34

Follow-up Question

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

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Answer 35

Follow-up Question

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

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Answer 36

Follow-up Question

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

Answer 37

Follow-up Question

Answer 38

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Answer 39

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

Answer 40

To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?

Answer 41

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Answer 42

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