EASY

Earn 100

Roll the marble from different heights. Observe the effect on its movements.
Change the level of the slant of the book. Hold one end of the book with your hand and the other should touch the floor. Now, roll the marble from the end which is high to the plain floor. Mark with chalk, the place where the marble reaches. Conduct the same experiment by Changing the slope of the book each time.
Is there a relation between the slope of the book and the distance covered by the marble?

Important Questions on Motion of System of Particles and Rigid Bodies

EASY

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A homogeneous solid cylindrical roller of radius

R

and mass

M

is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is:

HARD

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A circular disc reaches from top to bottom of an inclined plane of length

L .

When it slips down the plane, it takes time

t_{1}

. When it rolls down the plane, it takes time

t_{2}

. The value of

\frac{t_{2}}{t_{1}}

\sqrt{\frac{3}{x}}

. The value of

x

will be

HARD

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A horizontal force $F$ is applied at the centre of mass of a cylindrical object of mass $m$ and radius $R$ , perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is $μ$ . The centre of mass of the object has an acceleration $a$ . The acceleration due to gravity is $g$ . Given that the object rolls without slipping, which of the following statement(s) is (are) correct?

Question Image

HARD

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle

60 °

with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is

\frac{(2 - \sqrt{3})}{\sqrt{10}} s

, then the height of the top of the inclined plane (in meters) is __________. Take

g = 10 m s^{- 2}

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A solid cylinder of mass

' m'

and radius

' r'

starts rolling down an inclined plane of inclination

θ .

If the friction is just enough to prevent slipping. the speed of its centre of mass after it has descended through a height

' h'

is given by

HARD

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A sphere of mass $2 kg$ and radius $0.5 m$ is rolling with an initial speed of $1 {m s}^{- 1}$ goes up an inclined plane which makes an angle of $30 °$ with the horizontal plane, without slipping. How low will the sphere take to return to the starting point $A$ ?

Question Image

EASY

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A solid sphere of mass

2 kg

is rolling on a frictionless horizontal surface with velocity

6 m s^{- 1}

. It collides on the free end of an ideal spring whose other end is fixed. The maximum compression produced in the spring will be (Force constant of the spring =

36 N m^{- 1}

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A uniform solid cylindrical roller of mass

m

is being pulled on horizontal surface with force

F

parallel to the surface applied at its centre. If the acceleration of the cylinder is

a

and it is rolling without slipping, then the value of

F

EASY

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A solid sphere of radius

R

makes a perfect rolling down on a plane which is inclined to the horizontal axis at an angle

θ

. If the radius of gyration is

k

, then its acceleration is

EASY

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A car starts from rest to cover a distance

s

. The coefficient of friction between the road and the tyres is

μ

. The minimum time in which the car covers the distance is proportional to

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

The ratio of the acceleration for a solid sphere (mass

‘ m'

and radius

R)

rolling down an incline of angle

‘ θ'

without slipping and slipping down the incline without rolling is:

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A solid cylinder of mass

m

and radius

R

rolls down an inclined plane of height

30 m

without slipping. The speed of its centre of mass when the cylinder reaches the bottom is [use

g = 10 m s^{- 2}

]

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter. The correct statement for this situation is

HARD

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A uniform solid cylindrical roller of mass

m

is being pulled on a horizontal surface with force

F

parallel to the surface and applied at its centre. If the acceleration of the cylinder is

a

and it is rolling without slipping then the value of

F

is:

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A roller is made by joining together two cones at their vertices O. It is kept on two rails AB and CD which are placed asymmetrically (see figure), with its axis perpendicular to CD and its centre O at the centre of line joining AB and CD (see figure). It is given a light push so that it starts rolling with its centre O moving parallel to CD in the direction shown. As it moves, the roller will tend to:

Question Image

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

Consider a cylinder of mass M resting on a rough horizontal rug that is pulled out from under it with acceleration 'a' perpendicular to the axis of the cylinder. What is F_friction at point P ? It is assumed that the cylinder does not slip.
Question Image

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A sphere rolls down an inclined plane of inclination

θ

. What is the acceleration as the sphere reaches bottom?

MEDIUM

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane: (i) a ring of radius

R,

(ii) a solid cylinder of radius

\frac{R}{2}

and (iii) a solid sphere of radius

\frac{R}{4} .

If, in each case, the speed of the center of mass at the bottom of the incline is same, the ratio of the maximum heights they climb is:

HARD

Physics>Mechanics>Motion of System of Particles and Rigid Bodies>Rolling Motion

A cylinder of mass M_c and sphere of mass M_s are placed at points A and B of two inclines, respectively. (See figure). If they roll on the incline without slipping such that their accelerations are the same, then the ratio

\frac{sin θ_{c}}{sin θ_{s}}

is :

Important Questions on Motion of System of Particles and Rigid Bodies

Learn and Prepare for any exam you want !