A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?

Related Mcqs:

1. If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is__________________?

   A. zero
   B. maximum
   C. minimum
   D. unpredictable

2. 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

3. A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is_____________________?

   A. 1
   B. e2*
   C. e4*
   D. e*72

4. A ladder of weight ‘w’ rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight ‘w’ is to walk to the top of it safely, is tan’1 x, where x is___________________?

   A. 1/4
   B. 1/3
   C. 3
   D. 4

5. If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then___________________?

   1) a force is required to move the body upwards
   2) a force is required to move the body downward
   3) the body will not be in equilibrium
   The correct answer is?

   A. only (1)
   B. only (2)
   C. both (1) and (2)
   D. both (1) and (3)

6. 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

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

   A. less than 1
   B. equal to 1
   C. between 1 and 2
   D. greater than 2

8. A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is_______________?

   A. (1/3) g sin0
   B. (2/5) g sin 0
   C. (3/7) g sin 0
   D. (5/7) g sin0

   where g is acceleration due to gravity

9. A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is_____________________?

   A. 1/4
   B. 2/3
   C. 3/4
   D. 4/3

10. Coefficient of friction depends on__________________?

    A. nature of surfaces only
    B. area of contact only
    C. both (A) and (B)
    D. none of the above