Class XI

Angular acceleration vector is defined as
  1. α = 2 dω dt
  2. α = d ω 2 dt2
  3. α = dω dt
  4. α = d ω 3 dt3
Three thin uniform rods each of mass M and length L are placed along the three axis of a Cartesian coordinate system with one end of each rod at the origin. The M.I. of the system about z- axis is
  1. ML2
  2. ML2ML2/6
  3. ML2ML2/3
  4. (2/3) ML2
The M.I. of a body about a given axis is 1.2 kg m2m2. Initially the body is at rest. In order to produce a rotational kinetic energy of 1500 joule, an angular acceleration of 25 rad/ sec2sec2 must be applied about that axis for duration of
  1. 10 sec
  2. 2 sec
  3. 4 sec
  4. 9 sec
When a mass is rotating in a plane about a fixed point, its angular momentum is directed along
  1. the axis of rotation
  2. A line at an angle of 45o to the plane of rotation
  3. The tangent to the orbit
  4. the radius
A uniform rod of mass 2 kg is 1 meter long. Its radius of gyration about an axis through its one end and perpendicular to its length in SI units is
  1. 1/ 2√√ (3)
  2. 2/3
  3. 1/√√ (3)
  4. 2 /√√ (3)
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