What is the maximum value of the force $F$ such that the block shown in the arrangement does not move ....... $N$
Medium
Download our app for free and get started
$\mathrm{F} \cos \theta=\mathrm{f}$
$\mathrm{F} \cos \theta=\mu(\mathrm{N})$
$\mathrm{F} \cos \theta=\mu(\mathrm{F} \sin \theta+\mathrm{mg})$
$(\mathrm{F} \cos \theta-\mu \mathrm{F} \sin \theta)=\mu \mathrm{mg}$
$F=\frac{\mu m g}{\cos \theta-\mu \sin \theta}$
$\mathrm{F}=\frac{\frac{1}{2 \sqrt{3}} \cdot \sqrt{3} \times 10}{\frac{1}{2}-\frac{1}{2 \sqrt{3}} \times \frac{\sqrt{3}}{2}}$
$\mathrm{F} \Rightarrow 5 \times 4=20 \mathrm{N}$
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
- 1A 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 isView Solution
- 2A motorcycle is travelling on a curved track of radius $500\,m$. If the coefficient of friction between road and tyres is $0.5$, the speed avoiding skidding will be ....... $m/s$View Solution
- 3With what minimum velocity should block be projected from left end $A$ towards end $B$ such that it reaches the other end $B$ of conveyer belt moving with constant velocity $v$. Friction coefficient between block and belt is $\mu$ .View Solution
- 4A particle moves in a horizontal circle on the smooth inner surface of a hemispherical bowl of radius $R$. The plane of motion is at a depth $d$ below the centre of the hemisphere. The speed of the particle is :-View Solution
- 5A coin is placed on a disc. The coefficient of friction between the coin and the disc is $\mu$. If the distance of the coin from the center of the disc is $r$, the maximum angular velocity which can be given to the disc, so that the coin does not slip away, is:View Solution
- 6On the horizontal surface of a truck a block of mass $1 \;kg$ is placed $(\mu=0.6)$ and truck is moving with acceleration $5\; m / sec ^2$ then the frictional force on the block will beView Solution
- 7Four identical point masses $'m'$ joined by light string of length $'l'$ arrange such that they form square frame. Centre of table is coincide with centre of arrangment. If arrangement rotate with constant angular velocity $'\omega '$ , find out tension in each stringView Solution
- 8A $2 \,kg$ mass starts from rest on an inclined smooth surface with inclination $30^°$ and length $2\, m$. ...... $m$ will it travel before coming to rest on a frictional surface with frictional coefficient of $0.25$View Solution
- 9Block of mass $10 \,kg$ is moving on inclined plane with constant velocity $10 \,m / s$. The coefficient of kinetic friction between incline plane and block is ...........View Solution
- 10A car of mass $m$ is moving on a level circular track of radius $R.$ If $\mu_s $ represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given byView Solution