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?

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Chapter1: Units, Trigonometry. And Vectors
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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
Transcribed Image Text:(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
Part II: Please show ALL work!
=6F
%3D
Questions AandB refer to the following information and the
picture to the right.
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?
Transcribed Image Text:Part II: Please show ALL work! =6F %3D Questions AandB refer to the following information and the picture to the right. 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?
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