In a common design for a gyroscope, the flywheel and flywheel axis are enclosed in a light, spherical frame with the flywheel at the center of the frame. The gyroscope is then balanced on top of a pivot so that the flywheel is directly above the pivot. Does the gyroscope precess if it is released while the flywheel is spinning? Explain.

Solution 28DQ Introduction We have to discuss, if the gyroscope is perfectly vertical, does the gyroscope then precess Step 1 The angular speed or precession is given by Where w is the weight of the gyroscope, r is the distance from the pivot to the center of gravity, I is the moment of inertia of the gyroscope about the spinning axis and is the angular speed of spin. is the angle between the vertical and the axis of gyroscope. So we can see that if the gyroscope is directly above the pivot, the axis of gyroscope is vertical,...