1. A cylinder with outer radius, router is 1.8 meters is supported by a fixed axel as shown below. The radius of the axel, raxel is 0.20 meters. An external applied force, Fa, of 80 N is applied tangentially to the outer cylinder as shown causing the cylinder to rotate about the axel. The torque at the cylinder due to friction at the axel is 12 N-M. The kinetic frictional force direction is shown below. The entire configuration has a rotational inertia, I, of 900 kg-m² raxel router a. What is the torque created by the 80 N force? b. What is the net torque on the nested cylinders? c. What is the direction of rotation of the nested cylinders? d. What is the magnitude of the frictional force? e. What is the rotational acceleration? f. What is the rotational speed after 15.0 sec if the cylinders start from rest? g. Through what angular displacement does the cylinder move during this time? h. What is the kinetic energy at this point in time? Some potentially useful equations: T = la w(t) = wi + at 1 O(t) = wi + w;t +,at² 2 1 MV?; KE = KE =

1. A cylinder with outer radius, router is 1.8 meters is supported by a fixed axel as shown below. The radius of the axel, raxel is 0.20 meters. An external applied force, Fa, of 80 N is applied tangentially to the outer cylinder as shown causing the cylinder to rotate about the axel. The torque at the cylinder due to friction at the axel is 12 N-M. The kinetic frictional force direction is shown below. The entire configuration has a rotational inertia, I, of 900 kg-m² raxel router a. What is the torque created by the 80 N force? b. What is the net torque on the nested cylinders? c. What is the direction of rotation of the nested cylinders? d. What is the magnitude of the frictional force? e. What is the rotational acceleration? f. What is the rotational speed after 15.0 sec if the cylinders start from rest? g. Through what angular displacement does the cylinder move during this time? h. What is the kinetic energy at this point in time? Some potentially useful equations: T = la w(t) = wi + at 1 O(t) = wi + w;t +,at² 2 1 MV?; KE = KE =

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter10: Rotational Motion And Angular Momentum

Section: Chapter Questions

Problem 15PE: Consider the 12.0 kg motorcycle wheel shown in Figure 10.38. Assume it to be approximately an...

See similar textbooks

Similar questions

A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is 30 . The coefficient of kinetic friction on the surface is 0.400. What is the angular acceleration of the solid cylinder? What is the linear acceleration?
Repeat Example 10.15 in which the stick is free to have translational motion as well as rotational motion.
Check Your Understanding A merry-go-round at a playground is rotating at 4.0 rev/min. Three children jump on and increase the moment of inertia of the merry-go-round/children rotating system by sw 25 . What is the new rotation rate?
A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above the knee in the front of her leg. She produces an angular acceleration of 30.00 rad/s2 and her lower leg has a moment of inertia of 0.750kg-m2 What is the force exerted by the muscle if its effective perpendicular lever arm is 1.90 cm?
What is- the magnitude of the angular acceleration of a 25.0-kg disk of radius 0.800 m when a torque of magnitude 10.0 N m is applied to it? (See Section 8.5.)
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.
The Earth has more rotational kinetic energy now than did the cloud of gas and dust from which it formed. Where did this energy come from? Figure 10.33 An immense cloud of rotating gas and dust contracted under the influence of gravity to form the Earth and in the process rotational kinetic energy Increased. (credit: NASA)
A boy rides his bicycle 2.00 km. The wheels have radius 30.0 cm. What is the total angle the tires rotate through during his trip?
A gyroscope has a 0.5-kg disk that spins at 40 rev/s. The center of mass of the disk is 10 cm from a pivot which is also the radius of the disk. What is the precession angular velocity?
A truck with 0.420-m-radius tires travels at 32.0 m/s. What is the angular velocity of the rotating tires in radians per second? What is this in rev/min?
Calculate the rotational kinetic energy in the motorcycle wheel (Figure 10.38) if its angular velocity is 120 rad/s. Assume M=12.0kg,R1=0.280m, and R2=0.330m .
What is the angular velocity of a 75.0-cm-diameter tire on an automobile traveling at 90.0 km/h?