Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- For a particle of a rotating rigid body, v = r , so
- When a ceiling fan is switched on, it makes 10 rotations in the first 4 s (starting from rest, with uniform angular...
- Given r = 4 and p = 2 +3 + k. The angular momentum is
- The resultant of a system of forces (6 N at P and 4 N at Q, both perpendicular to PQ and in the same direction) is a force of 10...
- A particle of mass 5 kg is moving with a uniform speed v = 3 2 in the XOY plane along the line Y = X+4. The magnitude of the...
- The radius vector and linear momentum are respectively given by the vectors 2 +2 + k and 2 -2 + k. Their angular momentum is
- A particle is projected with velocity 200 ms^ -1 at an angle of 60^ . At the highest point, it explodes into three particles of...
- A shell is fired from a cannon with a velocity v at angle with the horizontal. At the highest point, it explodes into two pieces...
- A car is moving on a circular path and takes a turn. If R_1 and R_2 be the reactions on the inner and outer wheels respectively,...
- When a ceiling fan is switched off, its angular velocity reduces to 50% while it makes 36 rotations. How many more rotations will...
- A ball is thrown up at an angle with the horizontal. The total change in momentum by the instant it returns to the ground is [UP...
- The distance between the centres of the carbon and oxygen atoms in a carbon monoxide (CO) molecule is 1.130 Å. Locate the centre...
- Two particles of equal mass have velocities v_1 = 4 i and v_2 = 4 j ms⁻¹. The first particle has an acceleration a_1 = (5 i +5 j...
- Each Assertion–Reasoning question contains an Assertion (Statement 1) and a Reason (Statement 2). Choose: (A) Assertion is True,...
- A system consists of 3 particles, each of mass m, located at (1,1), (2,2) and (3,3). The coordinates of the centre of mass are
- The centre of mass of three particles of masses 1 kg, 2 kg and 3 kg is at (2, 2, 2). Where should a fourth mass of 4 kg be placed...
- A pulley fixed to the ceiling carries a string with blocks of masses m and 3m attached to its ends. The masses of the string and...
- Identify the correct statement for the rotational motion of a rigid body.
- Two point objects of mass 1.5 g and 2.5 g respectively are at a distance of 16 cm apart. The centre of gravity is at a distance x...
- Three identical spheres of mass M each are placed at the corners of an equilateral triangle of side 2m. Taking one of the corners...
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