The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is_______________?

Related Mcqs:

1. 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

   where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal

2. 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

3. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is_________________?

   A. 64 J
   B. 400 J
   C. 464 J
   D. 89 J

4. The angular speed of a car while taking a circular turn of radius 100m at 36 km/hour, is_______________?

   A. 0.1 radian/sec
   B. 1 radian/sec
   C. 100 radian/sec
   D. 1000 radian/sec

5. 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

6. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is______________?

   A. 2 J
   B. 4 J
   C. 6 J
   D. 8 J

7. If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is_____________________?

   A. —rad/sec 10
   B. —rad/sec 20
   C. —rad/sec 30
   D. none of the above

8. The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be___________________?

   A. 0.1 rad/sec
   B. 1 rad/sec
   C. 10 rad/sec
   D. 100 rad/sec

9. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be____________________?

   A. 20 m/sec
   B. 30 m/sec
   C. 40 m/sec
   D. 50 m/sec

10. A disc of mass 4 kg, radius 0.5m and moment of inertia 3 kg-m2 rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is ___________________?

    A. 50 J
    B. 150 J
    C. 200 J
    D. 400 J