A sphere is rolling without slipping with velocity V, on a thin plank moving with 3V, as showin figure. Find distance of instantanous axis of rotation from centre of sphere. velocity of cm sphere is towards right abd velocity of plank is towards le

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A cylinder of radius R is confined to roll without slipping between two planks (above plank moving with velocity v towards right and lower plank with velocity 3v towards right) as shown in the figure. Then

a.) angular velocity of the cylinder is V/R counter clockwise.

b.) angular velocity of the cylinder is 2V/R clockwise

c.) velocity of centre of mass of the cylinder is v towards left

d.) velocity of centre of mass of the cylinder is 2v towards right.

Q. A sphere is moving towards the positive x-axis with a velocity

v_{c}

and rotates clockwise with angular speed

ω

as shown in figure, such that

v_{c} > ω R

. The instantaneous axis of rotation will be :

Q. In the given figure, the sphere rolls without slipping on the plank which is moving with constant velocity

v_{0}

. The radius and angular velocity of the sphere is r and

ω

respectively. The velocity of centre of mass of the sphere is :

Q. A sphere is moving towards the positive

x

-axis with a velocity

v_{c}

and rotates clockwise with angular speed

ω

shown in the figure such that

v_{c} > ω r

. The instantaneous axis of rotation will be

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

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