A ball is given a velocity $v$ and angular velocity such that the ball rolls purely on a plank whose upper surface is rough enough to prevent slipping but lower surface in contact with the ground is smooth. No other force is acting on system.

The plank will recoil back.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

The plank will also move forward but with a lesser velocity than that of the ball.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

The plank will also move forward but with a greater velocity that that of the ball.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

The plank will remain at rest.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D The plank will remain at rest.
Velocity of point B should be zero w.r.t the plank as the ball rolls purely on the plank. There is no need of friction force to rotate the ball as the ball will exhibit rotational motion without sliding on its own inertia. Thus there is no reaction force on the plank and hence it will remain at rest.

Suggest Corrections

Similar questions

Q. A cylinder executes pure rolling without slipping with a constant velocity on a plank, whose upper surface is rough enough, but lower surface is smooth. The plank is kept at rest on a smooth horizontal surface by the application of an external force

F

. Choose the correct alternative:

Q. A long plank of mass 2 kg is placed on a smooth horizontal surface. Two blocks each of mass 1 kg are placed in contact on its rough surface. The coefficient of friction between first block and plank is 0.2 and that between second block and plank is 0.4. The blocks are projected in the opposite direction on the plank with velocity 2 m/s and 6 m/s respectively. The velocity of plank when both the blocks come to relative rest with respect to the plank and total work done by friction on the system (blocks + plank) will be

A mon of mass 'm' moves on a plank of mass 'M' with a constant velocity 'u' with respect to the plank (as shown in the figure). If the plank rests on a smooth horizontal surface, then determine the final velocity of the plank.

Q. A man of mass

m

moves on a plank of mass

M

with a constant velocity

u

with respect to the plank. as shown in Fig.
a) If the plank rests on a smooth horizontal surface, determine the velocity of the plank.
b) If the man travels a distance

L

with respect to the plank, find the distance travelled by the plank with respect to the ground.

Q. A uniform dise having radius R is spin with an angular velocity

ω_{2}

and simulteneously projected with a linear velocity v towards right on a plank while the move towards right with a constant velocity 2v If the disc initially rolls without slipping on the plank then angular velocity

ω \to

Join BYJU'S Learning Program

A ball is given a velocity v and angular velocity such that the ball rolls purely on a plank whose upper surface is rough enough to prevent slipping but lower surface in contact with the ground is smooth. No other force is acting on system.

A ball is given a velocity $v$ and angular velocity such that the ball rolls purely on a plank whose upper surface is rough enough to prevent slipping but lower surface in contact with the ground is smooth. No other force is acting on system.