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Two particles of equal masses have velocities `v_1 = 4 hati ms^(-1) and v_2 = 4 hatj ms^(-1)` . First particle has an acceleration `a_1 = (2hati + 2hatj) ms^(-2)`, while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path

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The centre of mass of three particles of masses `1 kg, 2 kg and 3 kg` is at `(3, 3, 3)` with reference to a fixed coordinate system. Where should a fourth particle of mass 4 kg be placed, so that the centre of mass of the system of all particles shifts to a point `(1, 1,

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A ball kept in a closed box moves in the box making collisions with the walls. The box is kept on a smooth surface. The velocity of the centre of

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A force `F` is applied on a single particle Pas shown in the figure. Here, `r` is the position vector of the particle. The value of torque `tau`

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A force `F=5hati + 2hatj - 5hatk` acts on a particle whose position vector is `r =hati - 2hatj + hatk`. What is the torque about the origin

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ABC is an equilateral triangle with `O` as its centre. `F_1, F_2 and F_3` represent three forces acting along the sides `AB, BC and AC,` respectively. If the total torque about `O` is zero, then the magnitude of `F_3`

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The angular momentum L of a single particle can be represented

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Newton’s second law for rotational motion of a system of particle can be represented as (L for a system of

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A particle of mass `m` moves in the `xy`-plane with a velocity `v` along the straight line AB. If the angular momentum of the particle with respect to origin `O` is `L_A`, when it is at A and `L_B` when it is at B,

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A point mass `m` is attached to a massless string whose other end is fixed at `P` as shown in figure. The mass is undergoing circular motion in `xy`-plane with centre `O` and constant angular speed `Omega`. If the angular momentum of the system, calculated about `O and P` be `L_O and L_P` respectively,

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If the torque of the rotational motion will be zero, then the constant quantity will

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A rigid body is said to be in partial equilibrium only,

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In the game of see-saw, what should be the displacement of boy B from right edge to keep the see-saw in equilibrium? (Given, `M_1 = 40 kg and M_2 = 60

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The centre of gravity of a homogeneous body is the point at which the

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One solid sphere A and another hollow sphere B are of same mass and same outer radius. Their moments of inertia about their diameters are `I_A and I_B` respectively, such

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A disc of mass M and radius R is rotating about one of its diameter. The value of radius of gyration for the disc

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A rod is rotating about an axis passing through its centre and perpendicular to its length.The radius of gyration for the rod

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A wheel is rotating at 900 rpm about its axis. When the power is cut-off, it comes to rest in 1 min. The angular retardation (in rad `s^(-2)`)

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If object starts from rest and covers angle of 60 rad in 10 s in circular motion, then magnitude of angular acceleration will

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When a ceiling fan is switched OFF, its angular velocity fall to half while it makes 36 rotations. How many more rotations will it make before coming to rest? (Assume uniform angular

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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