The minimum force required to start pushing a body up a rough (frictional coefficient $\mu$) inclined plane is $F _{1}$ while the minimum force needed to prevent it from sliding down is $F _{2}$. If the inclined plane makes an angle $\theta$ from the horizontal such that $\tan \theta=2 \mu$, then the ratio $\frac{F_{1}}{F_{2}}$ is
AIEEE 2011, Diffcult
Download our appand 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
- 1In figure, two blocks $M$ and $m$ are tied together with an inextensible and light string. The mass $M$ is placed on a rough horizontal surface with coefficient of friction $\mu$ and the mass $m$ is hanging vertically against a smooth vertical wall. The pulley is frictionless. Choose the correct statement $(s)$View Solution
- 2Consider a car moving along a straight horizontal road with a speed of $72\, km/h$. If the coefficient of kinetic friction between the tyres and the road is $0.5,$ the shortest distance in which the car can be stopped is ........ $m$ .$[g = 10\,m{s^{ - 2}}]$View Solution
- 3A block slides down on an inclined surface of inclination $30^o$ with the horizontal. Starting from rest it covers $8\, meter$ in the first two seconds. The coefficient of friction is $(g = 10\, ms^{-2})$View Solution
- 4A body starts from rest on a long inclined plane of slope $45^o$ . The coefficient of friction between the body and the plane varies as $\mu = 0.3\,x$ . where $x$ is distance travelled down the plane. The body will have maximum speed ( for $g = 10\,m/s^2$ ) when $x=$ ........ $m$View Solution
- 5A chain of length $L$ rests on a rough table. If $\mu $ be the coefficient of friction, the maximum friction of the chain that can hang over the table will beView Solution
- 6A conveyor belt is moving at a constant speed of $2\, ms^{-1}$. A box is gently dropped on it. The coefficient of friction between them is $\mu = 0.5$. The distance that the box will move relative to belt before coming to rest on it, (taking $g = 10\, ms^{-2}$) is ........ $m$.View Solution
- 7The coefficient of static friction, $\mu _s$ between block $A$ of mass $2\,kg$ and the table as shown in the figure is $0.2$. What would be the maximum mass value of block $B$ so that the two blocks $B$ so that the two blocks do not move? The string and the pulley are assumed to be smooth and masseless ....... $kg$ $(g = 10\,m/s^2)$View Solution
- 8View SolutionA football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is :
- 9The blocks $A$ and $B$ are arranged as shown in the figure. The pulley is frictionless. The mass of $A$ is $10 \,kg$. The coefficient of friction of $A$ with the horizontal surface is $0.20$. The minimum mass of $B $ to start the motion will be...... $kg$View Solution
- 10View SolutionIt is difficult to move a cycle with brakes on because