A wheel of radius r rolls without slipping wi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For a wheel rolling without slipping with speed $v$,the velocity of the highest point $B$ is $2v$ in the horizontal direction.When the mud separat

Vedclass · Accepted Answer

$4v\sqrt{\frac{r}{g}}$

Vedclass · Answer

(C) For a wheel rolling without slipping with speed $v$,the velocity of the highest point $B$ is $2v$ in the horizontal direction.When the mud separates at point $B$,it acts as a projectile with an initial horizontal velocity $u_x = 2v$ and initial vertical velocity $u_y = 0$.The height of point $B$ from the ground is $2r$.Using the equation of motion for vertical displacement: $h = u_y t + \frac{1}{2} g t^2$,we have $2r = 0 + \frac{1}{2} g t^2$.Solving for time $t$,we get $t = \sqrt{\frac{4r}{g}} = 2\sqrt{\frac{r}{g}}$.The horizontal distance covered by the mud during this time is $AC = u_x 	imes t$.Substituting the values,$AC = (2v) 	imes (2\sqrt{\frac{r}{g}}) = 4v\sqrt{\frac{r}{g}}$.

$A$ wheel of radius $r$ rolls without slipping with a speed $v$ on a horizontal road. When it is at a point $A$ on the road,a small piece of mud separates from the wheel at its highest point $B$ and drops at point $C$ on the road. The distance $AC$ will be

Similar Questions

In a bicycle,the radius of the rear wheel is twice the radius of the front wheel. If $r_F$ and $r_r$ are the radii,and $v_F$ and $v_r$ are the speeds of the topmost points of the wheels respectively,then:

$A$ disc of radius $2\; m$ and mass $100\; kg$ rolls on a horizontal floor. Its centre of mass has a speed of $20\; cm/s$. How much work is needed to stop it?

Find the displacement of the point of contact with the ground when a ring of radius $R$ completes a half-rotation.

The ratio of kinetic energies of two spheres rolling with equal centre of mass velocities is $2 : 1$. If their radii are in the ratio $2 : 1$,then the ratio of their masses will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module