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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 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?
2. 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.

3. A circular disc is rotating about a central axis perpendicular to its diameter with a speed of 5rad/s. If a constant force of 2N is applied tangentially on it, in how much time will it come to a stop? Radius of disc = 1m & mass = 1kg.
4. A ball of mass 3 kg and a ball of mass 2 kg roll towards each other on a flat surface. How far is the centre of mass from the 3 kg ball of the 2 balls are separated by 6 m?
5. A boy of mass 50kg is standing on a frictionless surface. He throws a ball of mass 2kg away from him with a speed of 10m/s. Find the final speed of the centre of mass.
6. A uniform free rectangular steel plate is heated from 273 to 373 kelvin. The initial area of the plate is 15 sq. cm. What is the shift of the centre of mass?
7. Consider a hollow cubical box of uniform density half-filled with water and the other half filled with air as shown in the figure. Which of the marked points are the likely positions of the centre of mass of the system?
8. 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?
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. A ring is at the top of the incline of angle and height 'h'. If it is left from rest and goes down rolling purely, find its speed at the bottom.
11. Consider two perpendicular axis in the plane of a planar body, such that I1 = 2 I2. The moment of inertia about an axis perpendicular to the plane and passing through intersection of I1 & I2 is 9kgm2. Find the value of I1& I2.
12. 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?
13. The rate of change of angular speed is constant. What will be the expression for change in angular speed after time dt, if angular acceleration is 'a'? The initial angular speed is 'w'.
14. A ball of mass 1kg is thrown vertically upwards from a building with a speed of 10m/s, and another ball of mass 3kg is dropped from the same point towards the ground with the same speed. At what time will the centre of mass have the maximum height w.r.t the ground? Assume balls are left at t=0.
15. For an object with the centre of mass at the origin, the x-coordinates of particles of the object _____
16. Moment of inertia, of a spinning body about an axis, doesn't depend on which of the following factors?
17. 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 _____
18. What is the displacement of the centre of the wheel in one rotation? Let the radius of the wheel be R.
19. Four objects of mass 1 kg each are placed on 4 corners of a square of side 1 m as shown in the figure. Consider 'O' to be the origin. What is the position of the centre of mass?
20. 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?
21. In the figure shown below, all the contact surfaces are perfectly smooth. 'M' and 'm' indicate mass. When the object of mass 'm' starts sliding down due to the force of gravity, then the centre of mass will _____

22. Which of the following statements is false?
23. Which of the following options is correct for the given diagram? Let the friction coefficient be sufficient for pure rolling.

24. 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)?
25. What is the moment of inertia of a rod about an axis passing through the centre and perpendicular to its central axis? Given that mass of rod is 1kg, length = 10cm.

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