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

Related Mcqs:

1. 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

2. 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

3. A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

   A. 15°
   B. 30°
   C. 45°
   D. 75°

4. A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan”1 x, where x is (Assume g = 10 m/sec2)_____________________?

   A. 3/8
   B. 1/2
   C. 9/5
   D. 5/8

5. 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

6. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about__________________?

   A. 1/4
   B. 1/3
   C. 1/2
   D. 1/5

   Assume g = 10 m/sec2

7. If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?

   A. 0 and 5 m/sec
   B. 5 m/sec and 0
   C. 5 V3 m/sec and 0
   D. 5 and 5V3 m/sec

8. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is______________________?

   A. 3/4
   B. 4/5
   C. 5/3
   D. 3/5

9. 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

10. The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?

    A. 36°
    B. 45°
    C. 56°
    D. 76°