A disk slides toward a motionless stick on a frictionless surface (figure below). The disk strikes and adheresto the stick and they rotate together, pivoting around the nail. Angular momentum is conserved for thisinelastic collision because the surface is frictionless and the unbalanced external force at the nail exerts notorque.BeforeMNail (pivot)After(a)(b)Consider a situation where the disk has a mass of 50.6 g and an initial velocity of 32.5 m/s when it strikesthe stick that is 1.2 m long and 2.06 kg at a distance of 0.100 m from the nail.a. What is the angular velocity (in rad/s) of the two after the collision? (Enter the magnitude.)0.166☐rad/sb. What is the kinetic energy (in J) before and after the collision?K before 26.68JK after= 0.0136c. What is the total linear momentum (in kg m/s) before and after the collision? (Enter themagnitude.)p before 1.645p after=kg.m/skg.m/sEnter an integer or decimal number (more..)

Answered: Image /qna-images/answer/a5999bcd-b853-453e-af4f-c0fc9383a038.jpg

Answered: A disk slides toward a motionless stick…

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...

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In Example 11.8, we investigated an elastic collision between a disk and a stick lying on a frictionless surface. Suppose everything is the same as in the example except that the collision is perfectly inelastic so that the disk adheres to the stick at the endpoint at which it strikes. Find (a) the speed of the center of mass of the system and (b) the angular speed of the system after the collision.
One end of a massless rigid rod of length is attached to a woodenblock of mass M restingon a frictionless, horizontal tabletop, and theother end is attached tothe table through apivot (Fig. P13.75). Abullet of mass m traveling with a speed v in adirection perpendicular to the rod and parallel to the table impacts the block and embeds itself inside. a. What is the angular momentum of this systemaround a vertical axis through the pivot after the collision?b. What is the fraction of the bullets initial kinetic energy thatis lost to internal energy duringthe collision? FIGURE P13.75
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 uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod’s center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod’s angular velocity when the beads reach the ends of the rod? (b) What is the rod’s angular velocity if the beads fly off the rod?
A thin meter stick of mass 150 g rotates around an axis perpendicular to the stick’s long axis at an angular velocity of 240 rev/min. What is the angular momentum of the stick if the rotation axis (a) passes through the center of the stick? (b) Passes through one end of the stick?
A wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R (Fig. P10.75). The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d R from the center. (a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (b) Is the mechanical energy of the claycylinder system constant in this process? Explain your answer. (c) Is the momentum of the claycylinder system constant in this process? Explain your answer. Figure P10.75

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