A cyclist turns around a curve at $15\, miles/hour$. If he turns at double the speed, the tendency to overturn is
A
Doubled
B
Quadrupled
C
Halved
D
Unchanged
Easy
Download our app for free and get started
B
Quadrupled
b (b) $F = \frac{{m{v^2}}}{r}$
$⇒$ $F \propto {v^2}$.
If $v$ becomes double then $F$ (tendency to overturn) will become four times.
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.*
A car is moving on a plane inclined at $30^{\circ}$ to the horizontal with an acceleration of $10\, {ms}^{-2}$ parallel to the plane upward. A bob is suspended by a string from the roof of the car.The angle in degrees which the string makes with the vertical is ...... . (Take ${g}=10\, {ms}^{-2}$ )
A 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 by
Two beads connected by massless inextensible string are placed over the fixed ring as shown in figure. Mass of each bead is $m$ , and there is no friction between $B$ and ring. Find minimum value of coefficient of friction between $A$ and ring so that system remains in equilibrium. ( $C \to $center of ring, $AC$ line is vertical)
A car of mass $1000\,kg$ negotiates a banked curve of radius $90\,m$ on a frictionless road. If banking angle is $45^o$ , the maximum speed of car is ............ $m/s$ $[g = 10\,m/s^2]$
A hemispherical bowl of radius $r$ is set rotating about its axis of symmetry in vertical. A small block kept in the bowl rotates with bowl without slipping on its surface. If the surface of the bowl is smooth and the angle made by the radius through the block with the vertical is $\theta$, then find the angular speed at which the ball is rotating.
The normal reaction $'{N}^{\prime}$ for a vehicle of $800\, {kg}$ mass, negotiating a turn on a $30^{\circ}$ banked road at maximum possible speed without skidding is $...\,\times 10^{3}\, {kg} {m} / {s}^{2}$ [Given $\left.\cos 30^{\circ}=0.87, \mu_{{s}}=0.2\right]$
A car is negotiating a curved road of radius $R$. The road is banked at an angle $\theta .$ The coefficient of friction between the tyres of the car and the road is $\mu _s.$ The maximum safe velocity on this road is