1. A gyroscope consists of a rotating disk with a 25 cm radius suitably mounted at...
1. A gyroscope consists of a rotating disk with a 25 cm radius suitably mounted at the midpoint of a 20 cm long axle so that it can spin and precess freely. One end is supported by a stand. The disk spins at 2000 rpm. The mass of the disk is 2 kg, and the axle can be taken as massless.
a. Draw the gyroscope, indicating the direction of the initial angular speed and the initial angular momentum. Choose a direction for the spin of the disk.
b. Draw the torque due to gravity about the support point.
c. What direction will your gyroscope precess once you release it?
d. Find the time required for one precession of the gyroscope if it is supported at one end of the axle and it precesses in the horizontal plane.
(Hint: if the magnitude of L--> is constant, it traces out a circle. Can you figure out how to relate the change in angle to the change in L-->?)
Homework Answers
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1. A gyroscope consists of a rotating disk with a 25 cm radius
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1) A gyroscope is spinning rapidly at 30 revolutions per second. It is a uniform disk...
1) A gyroscope is spinning rapidly at 30 revolutions per second. It is a uniform disk of 40 cm radius, and it is mounted on an axle of negligible mass a distance of 30 cm from the end of the axle, which is supported by a frictionless pivot. The axle makes a 45° angle with the vertical as the gyroscope precesses uniformly. Calculate the angular velocity of precession of the gyroscope.
1a. 1b. A certain gyroscope consists of a uniform disk with a 33.0 cm radius mounted...
1a.
1b. A certain gyroscope consists of a uniform disk with a 33.0
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is the precession rate?
In the figure, a small 0.372 kg block slides down a frictionless surface through height h = 0.918 m and then sticks to a...
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