Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis ?
(A) disc with larger density
(B) disc with smaller density
(C) both discs will have same rotational inertia
(D) none of the above
A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is_____________________?
(A) 4
(B) 6 7i
(C) 8TC
(D) 8
A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?
(A) sphere with greater rotational energy at bottom than cylinder
(B) sphere with lesser rotational energy at bottom than cylinder
(C) cylinder with greater rotational energy at bottom than sphere
(D) both reach the bottom simultaneously with equal rotational energy at bottom
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?
(A) (1/3) g sinB
(B) (2/3) g cos 9
(C) (2/3) g sin 0
(D) g sin 9
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?
(A) less than (1/3) tan 0
(B) less than (2/3) tan 0
(C) less than (1/3) sin 6
(D) less than (2/3) sin 6
If the angular distance, 0 = 2t3 – 3t2, the angular acceleration at t = 1 sec. is__________________?
(A) 1 rad/sec2
(B) 4 rad/sec2
(C) 6 rad/sec2
(D) 12 rad/sec2
A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?
(A) 6 m/sec
(B) 12 m/sec
(C) 24 m/sec
(D) 48 m/sec
Instantaneous center is at infinity when the angular velocity is _________________?
(A) constant
(B) zero
(C) maximum
(D) minimum
Irrigation water having the concentration of Na++ , Ca++ and Mg++ as 20, 3 and 1 Milli equivalent per litre respectively will be classified as__________________?
(A) low sodium water
(B) medium sodium water
(C) high sodium water
(D) very high sodium water
The value of Sodium Absorption Ratio for high sodium water lies between________________?
(A) 0 to 10
(B) 10 to 18
(C) 18 to 26
(D) 26 to 34