MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Correlation to Linear Motion

A plank is mo...

Question

A plank is moving with a velocity of $4 m / s e c$ . A disc of radius $1 m$ rolls without slipping on it with an angular velocity of $3 r a d / s e c$ as shown in figure. Find out the velocity of centre of the disc.

Open in App

Solution

Since it is pure rolling the velocity of the point at the bottom will be equal to velocity of plank.
So at $A$
$V_{c m} - R W = 4 V_{c m} - 3 = 4 \Rightarrow V_{c m} = 7 m / s$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A plank is moving with a velocity

4 m/s

. A disc of radius

1 m

rolls on it without slipping with an angular velocity of

3 rad/s

as shown in figure. Then, the velocity of the centre of the disc

(V_{cm})

Q. A plank is moving with a velocity of

4 m/s

. A disc of radius

1 m

rolls without slipping on it with an angular velocity of

3 rad/s

as shown in figure. Find out the velocity of the centre of the disc.

Q. A plank is moving with a velocity

4 m/s

. A disc of radius

1 m

rolls on it without slipping with an angular velocity of

3 rad/s

as shown in figure. Then, the velocity of the centre of the disc

(V_{cm})

Q. A uniform disc is spun with an angular velocity

\to ω

and simultaneously projected with a linear velocity

v

towards left on a plank, while the plank moves towards right with a constant velocity

2 v

. If the disc rolls without sliding on the plank just after its spinning, find the magnitude of

\to ω

in rad/sec. (Take

v = 3 m

s^{- 1}

R = 1 m

)

Q. A wheel of radius r rolls (rolling without slipping) on a level road as shown in figure. Angular velocity of the wheel is

ω

, as shown in figure. Find out velocity of point A and B.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Rotational Kinematics

PHYSICS

Watch in App

explore_more_icon

Explore more

Correlation to Linear Motion

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon