Three masses are aligned on a button as shown in the figure below. 12 13 m2 m3 The mass m1= 2.5 kg is at a distance I, = 1.1 mfrom the rotation axis, the mass m, = 3 kg is at a distance l2 = 0.5 mfrom the rotation axis, and the mass m3 =2 kg is at a distance /3 = 1.3 mfrom the mass m2. The system rotates counter clockwise with an angular speed w = 3.3 rad about the rotation axis. 1. What is the moment of inertia of the system? /= 7.155 X kg (m)^(2) - 2. Calculate the rotational kinetic energy of the system. K = 39.959 XJ 3. What is the moment of inertia of the system if the rotation axis goes through the mass m2? l= 9.78 kg (m)^(2) ÷ 4. Calculate the rotational kinetic energy for this rotation axis. K= 53.252

Three masses are aligned on a button as shown in the figure below. 12 13 m2 m3 The mass m1= 2.5 kg is at a distance I, = 1.1 mfrom the rotation axis, the mass m, = 3 kg is at a distance l2 = 0.5 mfrom the rotation axis, and the mass m3 =2 kg is at a distance /3 = 1.3 mfrom the mass m2. The system rotates counter clockwise with an angular speed w = 3.3 rad about the rotation axis. 1. What is the moment of inertia of the system? /= 7.155 X kg (m)^(2) - 2. Calculate the rotational kinetic energy of the system. K = 39.959 XJ 3. What is the moment of inertia of the system if the rotation axis goes through the mass m2? l= 9.78 kg (m)^(2) ÷ 4. Calculate the rotational kinetic energy for this rotation axis. K= 53.252

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 54P: A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its...

See similar textbooks

Similar questions

A ride at a carnival has four spokes to which pods are attached that can hold two people. The spokes are each 15 m long and are attached to a central axis. Each spoke has mass 200.0 kg, and the pods each have mass 100.0 kg. If the ride spins at 0.2 rev/s with each pod containing two 50.0-kg children, what is the new spin rate if all the children jump off the ride?
The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min. (a) If the blades are 6000 kg each and the rotor assembly has three blades, calculate the angular momentum of the turbine at this rotation rate. (b) What Is the torque require to rotate the blades up to the maximum rotation rate in 5 minutes?
A DVD is rotating at 500 rpm. What is the angular momentum of the DVD if has a radius of 6.0 cm and mass 20.0 g?
Gyroscopes used in guidance systems to indicate directions must have an angular momentum that does not change in direction. Yet they are often subjected to large and accelerations. How can the direction of their angular momentum be constant when they are accelerated?
Suppose a child walks from the outer edge of a rotating merry-go-round to the inside. Does the angular velocity of the merry-go-round increase, decrease, or remain the same? Explain your answer. Assume the merry-go-round is spinning without friction.
An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8kgm2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45 with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5kgm2 ?
Andrea and Chuck are riding on a merry-go-round. Andrea rides on a horse at the outer rim of the circular platform, twice as far from the center of the circular platform as Chuck, who rides on an inner horse. When the merry-go-round is rotating at a constant angular speed, Andreas angular speed is (a) twice Chucks (b) the same as Chucks (c) half of Chucks (d) impossible to determine.
In 2015, in Warsaw, Poland, Olivia Oliver of Nova Scotia broke the world record for being the fastest spinner on ice skates. She achieved a record 342 rev/min, beating the existing Guinness World Record by 34 rotations. If an ice skater extends her aims at that rotation rate, what would be her new rotation rate? Assume she can be approximated by a 45-kg rod that is 1.7 m tall with a radius of 15 cm in the record spin. With her aims stretched take the approximation of a rod of length 130 cm with 10 of her body mass aligned perpendicular to the spin axis. Neglect frictional forces.
Three children are riding on the edge of a merry-go-round that is 100 kg, has a 1.60-m radius, and is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the child who has a mass of 28.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?
When the merry-go-round of Quick Quiz 7.4 is rotating at a constant angular speed, Andreas tangential speed is (a) twice Chucks (b) the same as Chucks (c) half of Chucks (d) impossible to determine.
A space station consists of a giant rotating hollow cylinder of mass 106kg including people on the station and a radius of 100.00 m. It is rotating in space at 3.30 rev/min in order to produce artificial gravity. If 100 people of an average mass of 65.00 kg spacewalk to an awaiting spaceship, what is the new rotation rate when all the people are off the station?
A baseball catcher extends his arm straight up to catch a fast ball with a speed of 40 m/s. The baseball is 0.145 kg and the catcher’s arm length is 0.5 m and mass 4.0 kg. (a) What is the angular velocity of the arm immediately after catching the ball as measured from the arm socket? (b) What is the torque applied if the catcher stops the rotation of his arm 0.3 s after catching the ball?