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Systems of Particles and Rotational Motion Test - 34
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Systems of Particles and Rotational Motion Test - 34
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  • Question 1/10
    4 / -1
    A solid sphere is rolling on a frictionless surface as shown in Fig, with a translational velocity υ m/s. If it is to climb the inclined surface, then υ should be

    Solutions

  • Question 2/10
    4 / -1
    A horizontal platform is rotating with uniform angular velocity ω around the vertical axis passing through its centre. At some instant of time, a viscous liquid of mass m is dropped at the centre and is allowed to spread out and finally fall. The angular velocity during this period
  • Question 3/10
    4 / -1
    Two particles A and B are situated at a distance d = 2 m apart. Particle A has a velocity of u = 10 m/s at an angle of 60o and particle B has a velocity υ at an angle 30o as shown in fig. The distance d between A and B is constant. The angular velocity of B with respect to A is

    Solutions

  • Question 4/10
    4 / -1
    The moment of inertia of a thin square plate ABCD of uniform thickness about as axis passing through the centre O and perpendicular to the plate is

    Solutions

  • Question 5/10
    4 / -1
    Three particles of the same mass lie in the (X, Y) plane, The (X, Y) coordinates of their positions are (1, 1), (2, 2) and (3, 3) respectively. The (X,Y) coordinates of the centre of mass are
    Solutions

  • Question 6/10
    4 / -1
    Consider a two-particle system with the particles having masses M1 and M2 . If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved so as to keep the centre of mass at the same position?
    Solutions

  • Question 7/10
    4 / -1
    Four particles A, B, C and D of masses m, 2m, 3m and 5m respectively are placed at corners of a square of side x as shown in figure find the coordinate of centre of mass take A at origine of x-y plane.
    Solutions

  • Question 8/10
    4 / -1
    Two blocks of masses 10 kg an 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is :
    Solutions

  • Question 9/10
    4 / -1
    A particle performing uniform circular motion has angular momentum L., its angular frequency is doubled and its K.E. halved, then the new angular momentum is :
    Solutions

  • Question 10/10
    4 / -1
    Three point masses M1, M2 and M3 are located at the vertices of an equilateral triangle of side \'a\'. what is the moment of inertia of the system about an axis along the attitude of the triangle passing through M1?
    Solutions

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