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Chapter 7 system of particles and rotational motion tủ tài liệu training

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Nội dung chi tiết: Chapter 7 system of particles and rotational motion tủ tài liệu training

Chapter 7 system of particles and rotational motion tủ tài liệu training

Question 7.1:Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the

Chapter 7 system of particles and rotational motion tủ tài liệu traininge centre of mass of a body necessarily he inside the body ?AnswerGeometric centre; NoThe centre of mass (CM.) is a point where the mass of a body is s

upposed to be concentrated For the given geometric shapes having a uniform mass density, the CM lies at their respective geometric centres.The centre Chapter 7 system of particles and rotational motion tủ tài liệu training

of mass of a body need not necessarily he within it. For example, the C.M. of bodies such as a ring, a hollow sphere, etc., lies outside the body.cQue

Chapter 7 system of particles and rotational motion tủ tài liệu training

stion 7.2In the HC1 molecule, the separation between the nuclei of the two atoms is about 1.27 A (1 A = 10-w m). Find the approximate location of the

Question 7.1:Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the

Chapter 7 system of particles and rotational motion tủ tài liệu training its nucleus.AnswerThe given situation can be shown as:1 27 A*Distance between H and Cl atoms = 1.27AMass of H atom = wMass of Cl atom = 35.5™Lei the

centre of mass of the system he at a distance V from the Cl atom.Distance of the centre of mass from the H atom = (1.27 - v)Let us assume that the cen Chapter 7 system of particles and rotational motion tủ tài liệu training

tre of mass of the given molecule lies at the origin. Therefore, we can have:m(l.27-x) + 35.5mx 0 m +■ 35.5mm( 1.27 - x) + 35.5/nx = 01.27 - X =-35.5x

Chapter 7 system of particles and rotational motion tủ tài liệu training

x = _ J.'27;. =-O.O37A(35.5 -1)Here, the negative sign indicates that the centre of mass lies at the left of the molecule. Hence, the centre of mass o

Question 7.1:Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the

Chapter 7 system of particles and rotational motion tủ tài liệu trainingsmooth horizontal floor. If the child gets up and runs about on the trolley in any manner, what is the speed of the CM of the (trolley + child) system

?AnswerNo changeThe child is running arbitrarily on a trolley moving with velocity V. However, the running of the child will produce no effect on the Chapter 7 system of particles and rotational motion tủ tài liệu training

velocity of the centre of mass of the trolley. Tins IS because the force due to the boy’s motion IS purely internal. Internal forces produce no effect

Chapter 7 system of particles and rotational motion tủ tài liệu training

on the motion of the bodies on which they act. Since no external force is involved 111 the boy-trolley system, the boy’s motion will produce no chang

Question 7.1:Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the

Chapter 7 system of particles and rotational motion tủ tài liệu training half of the magnitude of a x b.AnswerConsider two vectors

Question 7.1:Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the

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