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Centre of Mass

A rough wedge...

Question

A rough wedge of mass M is free to move on a smooh horizontal plane. The uniform cylinder of mass m is placed on the wedge and it begins to roll down without slipping.Find the acceleration of cylinder on the surface of wedge (without the help of pseudo force).

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A

placed on a rough horizontal surface. Block

B

1 k g

slips down the inclined plane (of angle

45^{0}

with horizontal) of the wedge. Find the frictional force acting on wedge

A

on the rough horizontal surface (in N), if wedge if stationary

(g = 10 m / s^{2}) .

Q. A small ball (uniform solid sphere) of mass

m

is released from the top of a wedge of the same mass

m

. The wedge is free to move on a smooth horizontal surface. The ball rolls without sliding on the wedge. The required height of the wedge are mentioned in the figure.The total kinetic energy of the ball just before it falls on the ground is:

A B

of the wedge shown in figure is rough and

B C

is smooth. A solid cylinder rolls without slipping from

A

B

. Find the ratio of translational kinetic energy to rotational kinetic energy when the cylinder reaches point

C

.

m

i s p l a c e d o n a w e d g e (t r i a n g u l a r b l o c k) o f m a s s

. T h e w e d g e m o v e s o n a s m o o t h h o r i z o n t a l s u r f a c e w h a t s h o u l d b e t h e f o r c e

a p p l i e d o n t h e w e d g e t o t h e r i g h t, s o t h a t

m$ remains stationary with respect to wedge. (Ignore any friction)

Q. A solid cylinder of mass

3 k g

is placed on a rough inclined plane of inclination

30^{o}

g = 10 m s^{- 2}

, then the minimum frictional force required for it to roll without slipping down the plane is

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