Angle of Repose
Trending Questions
Q.
The coefficient of static friction between a block of mass m and an incline is μs = 0.3. What can be the maximum angle θ of the incline with the horizontal so that the block does not slip on the plane? (Also called angle of repose)
θ = cot-1 (0.3)
θ = sin-1 (0.3)
θ = cos-1 (0.3)
θ = tan-1 (0.3)
Q.
A block is placed on an inclined plane of inclination θ. The angle of inclination is such that the block slides down the plane at a constant speed. The coefficient of kinetic friction between the block and the inclined plane is equal to
sin θ
cos θ
tan θ
cot θ
Q. A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches 30∘, the box starts to slip and slides 4.0 m down the plank in 4.0 s. The coeffficient of static and kinetic friction between the box and the plank will respectively be


- 0.6 and 0.5
- 0.5 and 0.6
- 0.4 and 0.3
- 0.6 and 0.6
Q. A cubical block rests on a plane of μ=√3. The angle through which the plane be inclined to the horizontal so that the block just slides down will be
- 30∘
- 45∘
- 60∘
- 75∘
Q. A body is placed on an inclined plane. The coefficient of friction between the body and the plane is μ. The plane is gradually tilted up. If θ is the inclination of the plane, then frictional force on the body is


- decreases upto θ=tan−1(μ) and constant after that
- constant upto θ=tan−1(μ) and decrease after that
- Increases upto θ=tan−1(μ) and constant after that
- increases upto θ=tan−1(μ)and decrease after that
Q. For the arrangement shown in figure the tension in the string is [Given : tan−1(0.8)=39∘]


- 6 N
- 6.4 N
- 0.4 N
- zero
Q. A block of mass m is placed on a surface with a vertical cross section given by y=x36. If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is
- 16 m
- 23 m
- 13 m
- 12 m
Q. A block rests on a rough plane whose inclination θ to the horizontal can be varied. Which of the following graphs indicates how the frictional force F between the block and the plane varies as θ is increased?
Q. A block of mass 2 kg rests on a rough inclined plane making an angle of 30∘ with the horizontal. The coefficient of static friction between the block and the plane is 0.7. The frictional force on the block is
- 9.8 N
- 4.9√3 N
- 19.6 N
- 9.8√3 N
Q. A block of mass m is placed on a suface with a vertical cross section given by y=x36. If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is:
- 13 m
- 12 m
- 16 m
- 23 m