(0M2| M2Before CollisionAfter CollisionTOP VIEWS8. A system consists of a ball of mass M2 and a uniform rod of mass M1 and a length d. The rod isattached to a horizontal frictionless table by a pivot at point P and initially rotates at an angularspeed w, as shown above left. The rotational inertia of the rod about point P is M,d² . The rodstrikes the ball, which is initially at rest. As a result of this collision, the rod is stopped and the ballmoves in the direction shown above right. Express all answers in terms of M1, M2, W, d, andfundamental constants.a. Derive an expression for the angular momentum of the rod about point P before thecollision.c Part II: Please show ALL work!=6F%3DQuestions AandB refer to the following information and thepicture to the right.2mA solid sphere of mass m is fastened to another sphere of mass2m by a thin rod with a length of 3x. The spheres have negligiblesize, and the rod has negligible mass.2x3xA What is the moment of inertia of the system of spheres as the rod is rotated about a point locatedat position x, as shown?Where is the center of mass of this system located?

Answered: Image /qna-images/answer/04d06dbe-1a61-437b-aea7-f89b80595a16.jpg

Part II: Please show ALL work! =6F Questions Aand picture to the right. refer to the following information and the m 2m A solid sphere of mass m is fastened to another sphere of mass 2m by a thin rod with a length of 3x. The spheres have negligible size, and the rod has negligible mass. 2x 3x A What is the moment of inertia of the system of spheres as the rod is rotated about a point located at position x, as shown? Where is the center of mass of this system located?

Part II: Please show ALL work! =6F Questions Aand picture to the right. refer to the following information and the m 2m A solid sphere of mass m is fastened to another sphere of mass 2m by a thin rod with a length of 3x. The spheres have negligible size, and the rod has negligible mass. 2x 3x A What is the moment of inertia of the system of spheres as the rod is rotated about a point located at position x, as shown? Where is the center of mass of this system located?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

(0
M2
| M2
Before Collision
After Collision
TOP VIEWS
8. A system consists of a ball of mass M2 and a uniform rod of mass M1 and a length d. The rod is
attached to a horizontal frictionless table by a pivot at point P and initially rotates at an angular
speed w, as shown above left. The rotational inertia of the rod about point P is M,d² . The rod
strikes the ball, which is initially at rest. As a result of this collision, the rod is stopped and the ball
moves in the direction shown above right. Express all answers in terms of M1, M2, W, d, and
fundamental constants.
a. Derive an expression for the angular momentum of the rod about point P before the
collision.c

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