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Differentiate between the centripetal force and centrifugal force

Important Questions on Circular Motion

HARD

Physics>Mechanics>Circular Motion>Centrifugal Force

A particle is moving along the

x

-axis with its coordinate with time

t

given by

x (t) = 10 + 8 t - 3 t^{2} .

Another particle is moving along the

y

-axis with its coordinate as a function of time given by

y (t) = 5 - 8 t^{3} .

t = 1 s,

the speed of the second particle as measured in the frame of the first particle is given as

\sqrt{v} .

Then

v (i n m s^{- 1})

is ___________.

EASY

Physics>Mechanics>Circular Motion>Centrifugal Force

A body of mass

200 g

is tied to a spring of spring constant

12.5 N m^{- 1}

, while the other end of spring is fixed at point

O

. If the body moves about

O

in a circular path on a smooth horizontal surface with constant angular speed

5 rad s^{- 1}

, then the ratio of extension in the spring to its natural length will be :

MEDIUM

Physics>Mechanics>Circular Motion>Centrifugal Force

A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle

θ

with the horizontal, a point object of mass m is kept. The minimum coefficient of friction

μ_{m i n}

between the mass and the inclined surface such that the mass does not move is:

EASY

Physics>Mechanics>Circular Motion>Centrifugal Force

A plumb line is suspended from a ceiling of a car moving with horizontal acceleration

a

. What will be the angle of inclination with vertical?

EASY

Physics>Mechanics>Circular Motion>Centrifugal Force

The Earth (of mass $6 \times 10^{24} kg$ ) revolves round the sun with an angular velocity of $2 \times 10^{- 7} rad s^{- 1}$ in a circular orbit of radius $1.5 \times 10^{11} km .$ The force exerted by the sun on the earth is

HARD

Physics>Mechanics>Circular Motion>Centrifugal Force

A girl drops an apple from the window of a train which is moving on a straight track with speed increasing with a constant rate. The trajectory of the falling apple as seen by the girl is

MEDIUM

Physics>Mechanics>Circular Motion>Centrifugal Force

A car is moving with a constant speed of

20 m s^{- 1}

in a circular horizontal track of radius

40 m

. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take

g = 10 m s^{- 2}

)

EASY

Physics>Mechanics>Circular Motion>Centrifugal Force

A person is standing in an elevator. In which situation, he experiences weight loss ?

EASY

Physics>Mechanics>Circular Motion>Centrifugal Force

A circular disc rotates at

60

revolutions per minute about an axis passing through its center. A coin of

18 g

is placed at a distance of

8 cm

from the center of the disc. The centrifugal force on the coin is

HARD

Physics>Mechanics>Circular Motion>Centrifugal Force

The coefficient of static friction between a small block and the surface of a horizontal turntable is

0.09

. The block is placed at a distance of

0.1 m

from the centre of the turntable. At time

t = 0 s

the turntable starts rotating from rest with a constant angular acceleration of

0.5 rad \cdot s^{- 2}

. The time at which the block starts sliding is

t_{s}

. Select the correct statement(s).

EASY

Physics>Mechanics>Circular Motion>Centrifugal Force

A man weighing

60 kg

is in a lift moving down with an acceleration of

1.8 {ms}^{- 2}

. The force exerted by the floor on him is?

HARD

Physics>Mechanics>Circular Motion>Centrifugal Force

A particle of mass

m

is fixed to one end of a light spring having force constant

k

and unstretched length

l .

The other end is fixed. The system is given an angular speed

ω

about the fixed end of the spring such that it rotates in a circle in gravity free space. Then the stretch in the spring is:

HARD

Physics>Mechanics>Circular Motion>Centrifugal Force

Two wooden blocks are moving on a smooth horizontal surface such that the block having mass $m$ remains stationary with respect to block of mass $M$ as shown in the figure below. The magnitude of the applied force $P$ is,

Question Image

MEDIUM

Physics>Mechanics>Circular Motion>Centrifugal Force

Two blocks

A

and

B

of masses

m_{A} = 1 k g

and

m_{B} = 3 k g

are kept on the table as shown in figure. The coefficients of friction between

A

and

B

0.2

and between

B

and the surface of the table is also

0.2 .

The maximum force

F

that can be applied on

B

horizontally, so that the block

A

does not slide over the block

B

is : [Take

g = 10 m / s^{2}

]

EASY

Physics>Mechanics>Circular Motion>Centrifugal Force

A block of mass

M

placed inside a box descends vertically with acceleration

a

. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of

a

will be

MEDIUM

Physics>Mechanics>Circular Motion>Centrifugal Force

A boy is standing on a weighing machine inside a lift. When the lift goes upwards with acceleration

\frac{g}{4},

the machine shows the reading

50 kg .

wt. When the lift goes downward with acceleration

\frac{g}{4},

the reading of the machine in

kg

wt

. would be

EASY

Physics>Mechanics>Circular Motion>Centrifugal Force

A block

A

takes

2 s

to slide down a frictionless incline of

30 °

and length

l

, kept inside a lift going up with uniform velocity

v

. If the incline is changed to

45 °

, the time taken by the block, to slide down the incline, will be approximately:

EASY

Physics>Mechanics>Circular Motion>Centrifugal Force

A boy ties a stone of mass

100 g

to the end of a

2 m

long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of

80 N

. If the maximum speed with which the stone can revolve is

\frac{K}{π} rev \min^{- 1}

. The value of

K

is :
(Assume the string is massless and un-stretchable)

MEDIUM

Physics>Mechanics>Circular Motion>Centrifugal Force

A uniform rod of length

l

and density

ρ

is revolving about a vertical axis passing through its one end. If

ω

is the angular velocity of the rod then the centrifugal force per unit area of the rod is

HARD

Physics>Mechanics>Circular Motion>Centrifugal Force

A smooth wire of length

2 π r

is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed

ω

about the vertical diameter

A B,

as shown in figure, the bead is at rest with respect to the circular ring at position

P

as shown. Then the value of

ω^{2}

is equal to:
Question Image

Differentiate between the centripetal force and centrifugal force

Important Questions on Circular Motion

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