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Two bodies of masses `1 kg and 2 kg` are lying on `x-y` plane at `(1, 2) and (- 1, 3)` respectively. What are the coordinates of centre of
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Three identical spheres of mass M each are placed at the corners of an equilateral triangle of side 2 m. Taking one of the corner as the origin, the position vector of the centre of mass
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Centre of mass of the given system of particles will be
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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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