In the figure below,the point mass m₂ glides without friction on horizontal plane, itis connected to a mass m₁, which hangs vertically by inextensible wire of length L, passingthrough the groove of pulley with radius a. The mass of the pulley and the mass of thewire are assumed to be negligible. To the mass m₂, it is attached a simple pendulum witha point mass m3 and an inextensible thread of length and negligible mass. Thependulum swings freely in the vertical plane and the system is subject to the earth'sattraction.We study the motion of the system in the inertial reference frame R(O, x, y, z).We note (X₁, Y₁, Z;); i = 1,2,3 as a system coordinates of masses m. We put: m₁ = m₂ =.m; m3 = m.ym= a.mm₁ =Questions:1. Write the constraints equations of the motion.m₁{; m₂{2. Calculate the degree of freedom for the system.m₂ = a.mвLL.cos 8: 1. sin 8¡m3 {m

Answered: Image /qna-images/answer/54418f7e-f2dc-48d3-9b78-6fc95adf06d1.jpg

In the figure below,the point mass m₂ glides without friction on horizontal plane, it is connected to a mass m₁, which hangs vertically by inextensible wire of length L, passing through the groove of pulley with radius a. The mass of the pulley and the mass of the wire are assumed to be negligible. To the mass m₂, it is attached a simple pendulum with a point mass m3 and an inextensible thread of length I and negligible mass. The pendulum swings freely in the vertical plane and the system is subject to the earth's attraction. We study the motion of the system in the inertial reference frame R(O, x, y, z). We note (X₁, Y₁, Z;); i = 1,2,3 as a system coordinates of masses m. We put: m₁ = m₂ = .m; m3 = m.

In the figure below,the point mass m₂ glides without friction on horizontal plane, it is connected to a mass m₁, which hangs vertically by inextensible wire of length L, passing through the groove of pulley with radius a. The mass of the pulley and the mass of the wire are assumed to be negligible. To the mass m₂, it is attached a simple pendulum with a point mass m3 and an inextensible thread of length I and negligible mass. The pendulum swings freely in the vertical plane and the system is subject to the earth's attraction. We study the motion of the system in the inertial reference frame R(O, x, y, z). We note (X₁, Y₁, Z;); i = 1,2,3 as a system coordinates of masses m. We put: m₁ = m₂ = .m; m3 = m.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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