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Class 11 Physics: System of Particles and Rotational Motion
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MCQs on centre of mass and its motion, two vectors vector product, inertia moment, perpendicular and parallel axes theorems, kinematics and dynamics of rotational motion about fixed axis, rolling motion, rigid body equilibrium, torque and angular momentum.

Class 11 Physics: System of Particles and Rotational Motion
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25 Questions

1. Two cylinders have the same mass and radius. One is hollow and the other is solid. Which one will have the greater moment of inertia about the central axis?
2. A planar body is lying in the xz plane. What is the relation between its moment of inertia along the x, y & z axes?
3. Find the vector product (a X b) of the two given vectors: a = 2i + 3j + 4k, b = 3i + 5j. Here, i, j & k are unit vectors along three mutually perpendicular axes.
4. Which of the following statements is false?
5. A system consists of 2 particles of the same mass. Let one particle be at rest and another particle have an acceleration of '2a'. What would be the acceleration of the centre of mass of the system?
6. The centre of masses of two particles with masses 2 kg and 1 kg located at (1,0,1) and (2,2,0) is located at _____
7. Two bodies of masses 5kg and 15kg are located in the cartesian plane at (1,0) and (0,1). What is the location of their centre of mass?
8. A ring, disc and solid sphere are left from the top of an incline which has sufficient friction for pure rolling. Which will reach the bottom first, if they all have the same mass 'M' & radius 'R'?
9. A body is in pure rotational motion about an axis. Its angular acceleration is given by: a = 2t. What is the angular distance covered by the body from t=2s to t=3s? It starts from rest at t=0.
10. There are two external forces acting on a system of particles. Select the correct statement.
11. The coordinates of the centre of mass of objects of mass 10, 20, 30 kg are (1,1,1) m. Where should an object of mass 40 kg be placed such that the centre of mass of this new system lies at (0,0,0)?
12. The coordinates of the centre of mass of the system shown in the figures are _____
13. A uniform disc of radius R is put over another uniform disc of radius 2R of same thickness and density. The edges of the two discs touch each other. What is the position of their centre of mass?
14. A radioactive particle at rest, having mass 10g, breaks into 2 fragments (1&2) in the mass ratio 2:3 respectively. If the first one moves with a velocity of 10m/s what will be the speed of the second particle?
15. The distance between the centres of carbon and oxygen in the carbon monoxide molecules is 1.13 x 10-10 m. The distance of the centre of mass of the molecule relative to the oxygen atom is _____
16. Two particles of masses 2 kg and 3 kg are at rest and are separated by 10 m. If they move towards each other under the mutual force of attraction, they would meet at _____
17. An asteroid enters the atmosphere of the earth and breaks into two pieces. One of the pieces is larger than the other. Which of the following is true considering the centre of mass of both the pieces together?
18. Regarding the velocity of a particle in uniform circular motion about a fixed axis, select the correct option. w & r angular velocity and radius vectors respectively. 'X' & ' . ' represent cross & dot products respectively.
19. Moment of inertia, of a spinning body about an axis, doesn't depend on which of the following factors?
20. What is the moment of inertia of a rod, of mass 1kg & length 6m, about an axis perpendicular to rod's length and at a distance of 1.5m from one end?
21. The string holding the lift given below is cut. What will be the motion of the ring (as seen from inside the lift) initially at rest on top of the incline? The incline surface is rough.

22. The moment of inertia of a planar disc about a diameter is 8kgm2. What is the moment of inertia about an axis passing through its centre and perpendicular to the plane of disc?
23. Three objects of mass 1 kg each are placed at corners of a right-angled triangle AOB as shown in the figure. Consider 'O' as the origin and OA = OB = 1m. Determine the position of the centre of mass of this system.
24. Consider a system on which there are external forces acting. If the vector sum of all these external forces is zero, then the centre of mass _____
25. A ball of mass 3kg is thrown at an angle of 30° with the horizontal & a speed of 10m/s. At the highest point the ball breaks into two parts, having mass ratio 2:1, due to internal forces. If the heavier part falls at a distance of 10m from the start, find the x coordinate of the second part.

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