IIII A thin uniform rod of mass M, and lengthL is suspended from the ceiling andmounted on a horizontal frictionless axleat the top. The rod is initially at rest in itsequilibrium position when a ball of playdough, of mass mb, strikes the rod at itslower end and remains stuck to the rod.+M,The sticky ball is thrown with an initialspeed vo at a 60 degree angle from thehorizontal direction, and strikes the rodwhen it reaches the top of its trajectory, asshown in Fig.4. The acceleration due togravity has magnitude g and air resistance isnegligible.Mbvo60°Figure 4a- Determine the velocity of the ball of play dough right before it sticks to the rod. Use thex-y coordinate system defined in Fig.4.8.b- Determine the angular velocity of the rod+ball system right after the collision. Takecounterclockwise as positive. c- Establish the differential equation satisfied by the rod+ball system after the collisionand determine the angular frequency of the system. You may assume that the small angleapproximation (sin0 =0) is valid.d- Determine the expression that describes the angular position of the rod+ball system atany time after the collision.

Answered: Image /qna-images/answer/cf0fe203-97d0-44f8-95ed-da490faa5d8f.jpg

A thin uniform rod of mass M, and length L is suspended from the ceiling and mounted on a horizontal frictionless axle at the top. The rod is initially at rest in its equilibrium position when a ball of play dough, of mass mb, strikes the rod at its lower end and remains stuck to the rod. M, The sticky ball is thrown with an initial speed vo at a 60 degree angle from the horizontal direction, and strikes the rod when it reaches the top of its trajectory, as shown in Fig.4. The acceleration due to gravity has magnitude g and air resistance is negligible. vo 60° Figure 4 a- Determine the velocity of the ball of play dough right before it sticks to the rod. Use the x-y coordinate system defined in Fig.4.

A thin uniform rod of mass M, and length L is suspended from the ceiling and mounted on a horizontal frictionless axle at the top. The rod is initially at rest in its equilibrium position when a ball of play dough, of mass mb, strikes the rod at its lower end and remains stuck to the rod. M, The sticky ball is thrown with an initial speed vo at a 60 degree angle from the horizontal direction, and strikes the rod when it reaches the top of its trajectory, as shown in Fig.4. The acceleration due to gravity has magnitude g and air resistance is negligible. vo 60° Figure 4 a- Determine the velocity of the ball of play dough right before it sticks to the rod. Use the x-y coordinate system defined in Fig.4.

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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