17-74. The 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A. If the rotor always maintains a constant clockwise angular velocity w = 6 rad/s, determine the initial angular acceleration of the cylinder. The coefficient of kinetic friction at the contacting surfaces B and C is µg = 0.2. 125 mm -45°

17-74. The 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A. If the rotor always maintains a constant clockwise angular velocity w = 6 rad/s, determine the initial angular acceleration of the cylinder. The coefficient of kinetic friction at the contacting surfaces B and C is µg = 0.2. 125 mm -45°

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 59P: A cylinder of mass 10.0 kg rolls without slipping on a horizontal surface. At a certain instant, its...

See similar textbooks

Similar questions

Does increasing the number of blades on a propeller increase or decrease its moment of inertia, and why?
The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?
A 60.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 500 kg m2 and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless, vertical axle through its center. The woman then starts walking around the rim clock-wise (as viewed from above the system) at a constant speed of 1.50 m/s relative to Earth. (a) In what direction and with what angular speed does the turntable rotate? (b) How much work does the woman do to set herself and the turntable into motion?
Repeat Example 10.15 in which the disk strikes and adheres to the stick 0.100 m from the nail.
Check Your Understanding Which has greater angular momentum: a solid sphere of mass m rotating at a constant angular frequency 0 about the z-axis, or a solid cylinder of same mass and rotation rate about the z-axis?
A bicycle is turned upside down while its owner repairs a flat tire on the rear wheel. A friend spins the front wheel, of radius R, and observes that drops of water fly oil tangentially in an upward direction when the drops are at the same level as the center of the wheel. She measures the height reached by drops moving vertically (Fig. P10.74). A drop that breaks loose from the tire on one turn rises a distance h1 above the tangent point. A drop that breaks loose on the next turn rises a distance h2 h1 above the tangent point. The height to which the drops rise decreases because the angular speed of the wheel decreases. From this information, determine the magnitude of the average angular acceleration of the wheel.
An automobile engine can produce 200Nm of torque. Calculate the angular acceleration produced if 95.0 of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0-kg disk that has a 0.180-m radius. The walls of each tire act like a 2.00-kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0-kg hoop of radius 0.330 m. The 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.
The oldest artificial satellite still in orbit is Vanguard I, launched March 3, 1958. It mass is 1.60 kg. Neglecting atmospheric drag, the satellite would still be in its initial orbit, with a minimum distance from the center of Earth of 7.02 Mm and a speed at this perigee point of 8.23 km/s. For this orbit, find (a) the total energy of the satelliteEarth system and (b) the magnitude of the angular momentum of the satellite. (c) At apogee, find the satellites speed and its distance from the center of the Earth. (d) Find the semimajor axis of its orbit. (e) Determine its period.
If global warming continues, its likely that some ice from the polar ice caps of the Earth will melt and the water will be distributed closer to the equator. If this occurs, would the length of the day (one rotation) (a) increase, (b) decrease, or (c) remain the same?
Figure 13.24 shows a particle with momentum p. Using the coordinate systems shown, determine the direction of the angular momentum of the particle around the origin in each case, and write expressions for L, using symbols defined in Figure 13.23. FIGURE 13.24
Rotational Inertia Problems 5 and 6 are paired. 5. N A system consists of four boxes modeled as particles connected by very lightweight, stiff rods (Fig. P13.5). The system rotates around the z axis, which points out of the page. Each particle has a mass of 5.00 kg. The distances from the z axis to each particle are r1 = 32.0 cm, r2 = 16.0 cm, r3 = 17.0 cm, and r4 = 34.0 cm. Find the rotational inertia of the system around the z axis. 6. N Use the information in Problem 5 to find the rotational inertia of the system around particle 1. FIGURE P13.5 Problems 5 and 6.
If the torque acting on a particle about an axis through a certain origin is zero, what can you say about its angular momentum about that axis?