Case Study Questions for Class 11 Physics Chapter 7 System of Particles and Rotational Motion

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Case Study Questions for Class 11 Physics Chapter 7 System of Particles and Rotational Motion

Here we are providing case study questions for class 11 physics chapter 7 System of Particles and Rotational Motion. Students can practice these questions for better understanding of case study type questions.

Question 1:

Centre of Mass

The centre of mass of a body or a system of bodies is the point which moves as though all of the mass were concentrated there and all external forces were applied to it. Hence, a point at which the entire mass of the body or system of bodies is supposed to be concentrated is known as the centre of mass.
If a system consists of more than one particle (or bodies) and net external force on the system in a particular direction is zero with centre of mass at rest. Then, the centre of mass will not move along that direction. Even though some particles of the system may move along that direction.

(i) Two bodies of masses 1 kg and 2 kg are lying in xy-plane at (-1, 2) and (2, 4), respectively. What are the coordinates of the centre of mass?
(a) 1, 10/3
(b) (1,0)
(c) (0,1)
(d) None of these

Check Answer

Answer: (a)

(ii) Two balls of same masses start moving towards each other due to gravitational attraction, if the initial distance between them is L. Then, they meet at

(a) L/2
(b) L
(c) L/3
(d) L/4

Check Answer

Answer: (a)

(iii) The centre of mass of a system of two particles divides, the distance between them
(a) in inverse ratio of square of masses of particles
(b) in direct ratio of square of masses of particles
(c) in inverse ratio of masses of particles
(d) in direct ratio of masses of particles

Check Answer

Answer: (c)

(iv) Two particles A and B initially at rest move towards each other under a mutual force of attraction. At the instant, when the speed of A is v and the speed of B is 2v, the speed of centre of mass of the system is
(a) zero
(b) v
(c) 1.5 v
(d) 3v

Check Answer

Answer: (a)

(v) All the particles of a body are situated at a distance R from the origin. The distance of centre of mass of the body from the origin is
(a) = R
(b) ≤ R
(c) > R
(d) ≥ R

Check Answer

Answer: (b)

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