If a block moving up an inclined plane at $30^{\circ}$ with a velocity of $5 \,m / s$, stops after $0.5 s$, then coefficient of friction will be nearly
Easy
Download our app for free and get startedPlay store
(b)

Using $v=u+a t$

retardation will be provided by friction as well as gravitational force

$a=\frac{u}{t}$

$g \sin 30^{\circ}+\mu g \cos 30^{\circ}=\frac{5}{0.5}=10$

$\mu=\frac{1}{\sqrt{3}} \equiv 0.6$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by 
    View Solution
  • 2
    A solid hemisphere of weight $P$ rests with its curved surface in contact with a rough inclined plane. A weight $Q$ is placed at some point on the rim of the hemisphere to keep its plane surface horizontal then its minimum coefficient of friction is
    View Solution
  • 3
    A hollow vertical cylinder of radius $R$ is rotated with angular velocity $\omega$ about an axis through its center. What is the minimum coefficient of static friction necessary to keep the mass $M$ suspended on the inside of the cylinder as it rotates?
    View Solution
  • 4
    A solid hemisphere of weight $P$ rests with its curved surface in contact with a rough inclined plane. A weight $Q$ is placed at some point on the rim of the hemisphere to keep its plane surface horizontal then its minimum coefficient of friction is
    View Solution
  • 5
    A block rests on a rough inclined plane making an angle of ${30^o}$ with the horizontal. The coefficient of static friction between the block and the plane is $0.8$. If the frictional force on the block is $10 \,N$, the mass of the block (in kg) is (take $g = 10\,\,m/{s^2})$
    View Solution
  • 6
    Choose the correct statement.
    View Solution
  • 7
    A bag is gently dropped on a conveyor belt moving at a speed of $2\,m / s$. The coefficient of friction between the conveyor belt and bag is $0.4$ Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is $.....m$ [Take $g=10\,m / s ^{-2}$ ]
    View Solution
  • 8
    A body of mass $4\, kg$ is at rest on a horizontal table. The coefficient of friction between  the body and the table is $0.2$ . A horizontal force of $6N$ is applied on the body.  The acceleration of the body is .......... $m/s^2$
    View Solution
  • 9
    In the figure, a block of weight $60\, N$ is placed on a rough surface. The coefficient of friction between the block and the surfaces is $0.5$. ........ $N$ should be the maximum weight $W$ such that the block does not slip on the surface .
    View Solution
  • 10
    A cyclist riding the bicycle at a speed of $14 \sqrt{3} \,m / s$ takes a turn around a circular road of radius $20 \sqrt{3} \,m$ without skidding. What is his inclination to the vertical?
    View Solution