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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
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A disc is rotating with angular velocity `omega`. A force `F` acts at a point whose position vector with respect to the axis of rotation is `r`. The power associated with torque due to the force is given
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A flywheel of moment of inertia `0.4 kg-m^2` and radius `0.2 m` is free to rotate about a central axis. If a string is wrapped around it and it is pulled with a force of 10N, then its angular velocity after `4s` will
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Two discs having mass ratio (1/2) and diameter ratio (2/1), then find ratio of moment of
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A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the
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A body having a moment of inertia about its axis of rotation equal to `3 kg-m^2` is rotating with angular velocity of `3 rad s^(-1)`. Kinetic energy of this rotating body is same as that of a body of mass 27 kg moving with a velocity `v`. The value of `v`
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Two bodies have their moments of inertia `I and 2I` respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the
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By keeping moment of inertia of a body constant, if we double the time period, then angular momentum of
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If frictional force is neglected and girl bends her hand, then (initially girl is rotating on
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A wheel of radius `R` rolls on the ground with a uniform velocity `v`. The velocity of topmost point relative to the bottommost point
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A drum of radius` R` and mass `M` rolls down without slipping along an inclined plane of angle `theta`. The frictional
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Figure shows a composite system of two uniform rods of lengths as indicated. Then the coordinates of the centre of mass of the system of rods are..............
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The angular acceleration of a flywheel of mass 5 kg and radius of gyration `0.5 m` is ........... , if a torque of `10N-m` is applied on
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A bicycle wheel rolls without slipping on a horizontal floor. Which one of the following statements is true about the motion of points on the rim of the wheel, relative to the axis at the wheel’s
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If radius of earth is reduced to half without changing its mass, then match the following columns and choose the correct option from the codes given below. Column I Column II A. Angular momentum of earth p. Will become one fourth B. Time period of rotation of earth q. Will become four times C. Rotational kinetic energy of earth r. No change
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A rigid body is rolling without slipping on the horizontal surface, then match the Column I with Column II and choose the correct option from the codes given below. Column I Column II A. Velocity at point `A, i.e. v_A` p.`vsqrt2` B. Velocity at point `B, i.e. v_B` q- zero C. Velocity at point `C, i.e. v_C` r. `v` D. Velocity at point `D, i.e. v_D` s. `2v`
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Assertion: The motion of the centre of mass describes the translational part of the motion. Reason: Translational motion always means straight line
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Assertion: The centre of mass of a body must lie on the body. Reason: The centre of mass of a body does not lie at the geometric centre of
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