A cyclist is travelling with velocity $v$ on a curved road of radius $R$. The angle $\theta$ through which the cyclist leans inwards is given by
Medium
Download our app for free and get started
For a banked road or cyclist
${\mathrm{N} \cos \theta=\mathrm{mg}}$
${\mathrm{N} \sin \theta=\frac{\mathrm{mv}^{2}}{\mathrm{R}}}$
$\mathbf{o r}$ ${\tan \theta=\frac{\mathrm{v}^{2}}{\mathrm{Rg}}}$
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
- 1Starting from rest a body slides down a $45^o$ inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The co-efficient of friction between the body and the inclined plane is:View Solution
- 2View SolutionWhich of the following is a self adjusting force?
- 3A boy is sitting on the horizontal platform of a joy wheel at a distance of $5 \,m$ from the center. The wheel begins to rotate and when the angular speed exceeds $1 \,rad / s$, the boy just slips. The coefficient of friction between the boy and the wheel is $\left(g=10 \,m / s ^2\right)$View Solution
- 4View SolutionMaximum value of static friction is called
- 5A body takes $1\frac{1}{3}$ times as much time to slide down a rough identical but smooth inclined plane. If the angle of inclined plane is $45^o$, the coefficient of friction isView Solution
- 6A $1.0 kg$ block of wood sits on top of an identical block of wood, which sits on top of a flat level table made of plastic. The coefficient of static friction between the wood surfaces is $\mu_1$, and the coefficient of static friction between the wood and plastic is $\mu_2$. Ahorizontal force $F$ is applied to the top block only, and this force is increased until the top block starts to move. The bottom block will move with the top block if and only ifView Solution
- 7A bullet of mass $4\,g$ is fired horizontally with a speed of $300\,m/s$ into $0.8\,kg$ block of wood at rest on a table. If the coefficient of friction between the block and the table is $0.3,$ how far will the block slide approximately?View Solution
- 8In 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. When the downward acceleration of the elevator becomes equal to $g$, thenView Solution
- 9A rod $P$ of length $1\ m$ is hinged at one end $A$ and there is a ring attached to the other end. Another long rod $Q$ is hinged at $B$ and it passes through the ring. The rod $P$ is rotated about an axis which is perpendicular to plane in which both the rods are present and the variation between the angles $\theta$ and $\phi $ are plotted as shown. The distance between the hinges $A$ and $B$ is ....... $m$.View Solution
- 10A block of mass $10 \,kg$ is released on rough incline plane. Block start descending with acceleration $2 \,m / s ^2$. Kinetic friction force acting on block is ..... $N$ (take $g=10 \,m / s ^2$ )View Solution
