Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centres is 3.2 cm, what is the shift...
- Two bodies of 6 kg and 4 kg masses have their velocities 5 i -2 j +10 k and 10 i -2 j +5 k respectively. The velocity of their...
- Two particles A and B, initially at rest, move towards each other under a mutual force of attraction. At an instant when the...
- A circular disc of radius R is removed from a bigger circular disc of radius 2R, such that the circumference of the discs...
- If the external forces acting on a system have zero resultant, the centre of mass
- A straight rod of length L has one of its ends at the origin and the other at x=L. If the mass per unit length of the rod is...
- The centre of mass of a system of two particles divides the distance between them
- If a force 10 i +15 j +25 k acts on a system and gives an acceleration 2 i +3 j -5 k to the centre of mass of the system, the...
- A body A of mass M, while falling vertically downwards under gravity, breaks into two parts: a body B of mass 13 M and a body C...
- Four point masses P,Q,R,S with respective masses 1 kg, 1 kg, 2 kg, 2 kg form the corners of a square of side a (P and Q adjacent...
- The centre of mass of three particles of masses 1 kg, 2 kg and 3 kg, at a fixed reference position, is at (3,3,3). Where should a...
- The motion of the centre of mass of a system is the result of
- A thin rod of length L lies along the x-axis with its ends at x=0 and x=L. Its linear density (mass/length) varies as k ( x L...
- The angular velocity of a wheel increases from 100 rps to 300 rps in 10 s. The number of revolutions made during that time is
- The moment of inertia of a circular disc of radius 2 m and mass 2 kg, about an axis passing through its centre of mass, is 2...
- A thin uniform square lamina of side a is placed in the xy-plane with its sides parallel to the x- and y-axes, and its centre...
- The moment of inertia of a metre scale of mass 0.6 kg, about an axis perpendicular to the scale and located at the 20 cm mark, is...
- Three identical rods, each of length x, are joined to form a rigid equilateral triangle. Its radius of gyration about an axis...
- A ring of mass m and radius r is melted and moulded into a sphere. The moment of inertia of the sphere will be
- Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is I....
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