A gyroscope slows its angular frequency ω due to friction. If the period for precession is initially 4 seconds what is the new precession period after the angular frequency of the gyroscope has slowed to a quarter of its original speed.

Problem 2: A bicycle wheel has a radius r = 0.22 m and rotates at a constant frequency of f = 89 rev/min. Randomized Variables r = 0.22 m f = 89 rev/min Part (a) Calculate the period of rotation of the wheel T in seconds. Numeric : A numeric value is expected and not an expression. T = Part (b) What is the tangential speed of a point on the wheel's outer edge in m/s? Numeric : A numeric value is expected and not an expression. V =

The balance wheel of a watch oscillates with angular amplitude 1.0n rad and period 0.34 s. Find (a) the maximum angular speed of the wheel, (b) the angular speed of the wheel at displacement 1.0n/2 rad, and (c) the magnitude of the angular acceleration at displacement 1.0n/4 rad. (a) Number Units (b) Number Units (c) Number Units

Engineers are designing a system by which a falling mass m imparts kinetic energy to a rotating uniform drum to which it is attached by thin, very light wire wrapped around the rim of the drum (the figure (Figure 1)). There is no appreciable friction in the axle of the drum, and everything starts from rest. This system is being tested on earth, but it is to be used on Mars, where the acceleration due to gravity is 3.71 m/s2. In the earth tests, when m is set to 13.0 kg and allowed to fall through 5.00 m, it gives 300.0 J of kinetic energy to the drum. If the system is operated on Mars, through what distance would the 13.0-kg mass have to fall to give the same amount of kinetic energy to the drum? How fast would the 13.0-kg mass be moving on Mars just as the drum gained 300.0 J of kinetic energy?

While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every T = 6.6 seconds. Frequency is = 1/6.6 Angular Velocity = 0.952 Length of the chandelier = 10.81 That evening, while hanging out in J.J Thompson's House O' Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is T + 0.11 Seconds. Determine the acceleration due to gravity in m/s^2 at the club

A hollow cylinder of mass M1 and radius R1 rolls without slipping on the inside surface of another hollow cylinder of mass M2 and radius R2. Assume R1<<RZ. Both axes are horizontal, and the larger cylinder is free to rotate about its axis What is the angular velocity or frequency of small oscillations

= A pendulum consists of a rod of mass 1.80 kg and length L 1.00 m with a solid sphere at one end with mass 0.320 kg and radius 24.0 cm (see the following figure). If the pendulum is released from rest at an angle of 0 = 29.0°, what is the angular velocity at the lowest point? Axis A Part 1 + To solve this problem it will be necessary to first find the moment of inertia of the pendulum. What is its moment of inertia? Part 2 + What is the initial gravitational potential energy of the pendulum? Define the gravitational potential energy to be zero when the pendulum is at its lowest point. Part 3 What is the angular velocity of the pendulum at its lowest point?

When a 3 kg mass is hung on a vertical spring, it extends the spring by 3.00 m. What is the angular velocity ω (in rads/s) of the mass when it oscillates back and forth on this spring?

There are more than 300 species of hummingbirds in the world and about 10 species regularly breed in the United States. One of which is the Ruby-throated Hmmingbird who can flap its wings with an angular speed of 332 rad/s. Calculate the period of its flapping motion.

The good expert Hand written solution is not allowed.