A uniform cylindrical turntable of radius 1.80 m and mass 31.6 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 47 rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.35 kg and negligible size is dropped onto the turntable from small distance above it and immediately sticks to the turntable at a point 1.70 m to the east of the axis. (a) Find the final angular speed of the clay and turntable. magnitude rad/s direction counterclockwise (b) Is mechanical energy of the turntable-clay system constant in this process? O Yes O No What, if any, is the change in internal energy? J (c) Is momentum of the system constant in this process? O Yes O No What, if any, is the amount of impulse imparted by the bearing? magnitude kg • m/s direction north

A uniform cylindrical turntable of radius 1.80 m and mass 31.6 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 47 rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.35 kg and negligible size is dropped onto the turntable from small distance above it and immediately sticks to the turntable at a point 1.70 m to the east of the axis. (a) Find the final angular speed of the clay and turntable. magnitude rad/s direction counterclockwise (b) Is mechanical energy of the turntable-clay system constant in this process? O Yes O No What, if any, is the change in internal energy? J (c) Is momentum of the system constant in this process? O Yes O No What, if any, is the amount of impulse imparted by the bearing? magnitude kg • m/s direction north

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 75P: A wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R...

See similar textbooks

Similar questions

A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through one of its ends. Find the magnitude of the rodsangular momentum.
A turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular speed of 3.00 rad/s arounda frictionless, vertical axle. A wad of clay of mass m =0.250 kg drops onto and sticks to the edge of the turntable.What is the new angular speed of the turntable?
If the angular acceleration of a rigid body is zero, what is the functional form of the angular velocity?
A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.
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?
A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
A buzzard (m = 9.29 kg) is flying in circular motion with aspeed of 8.44 m/s while viewing its meal below. If the radius ofthe buzzards circular motion is 8.00 m, what is the angularmomentum of the buzzardaround the center of its motion?
A rigid body with a cylindrical cross-section is released from the top of a 30 incline. It rolls 10.0 m to the bottom in 2.60 s. Find the moment of inertia of the body In terms of its mass m and radius r.
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 uniform rod of length b stands vertically upright on a rough floor and then tips over. What is the rods angular velocity when it hits the floor?
A 12.0-kg solid sphere of radius 1.50 m is being rotated by applying a constant tangential force of 10.0 N at a perpendicular distance of 1.50 m from the rotation axis through the center of the sphere. If the sphere is initially at rest, how many revolutions must the sphere go through while this force is applied before it reaches an angular speed of 30.0 rad/s?
The velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?