EASY

Earn 100

Explain the condition of equilibrium of a block in an inclined plane.

Important Questions on Laws of Motion

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches

30 °

, the box starts to slip and slides

4.0 m

down the plank in

4.0 s

. The coefficients of static and kinetic friction between the box and the plank will be, respectively:
Question Image

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

Consider a block kept on an inclined plane (inclined at $45 °$ ) as shown in the figure. If the force required to just push it up the incline is $2$ times the force required to just prevent it from sliding down, the coefficient of friction between the block and inclined plane $(µ)$ is equal to :

Question Image .

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A block of mass

m

slides down the plane inclined at angle

30 °

with an acceleration

\frac{g}{4}

. The value of coefficient of kinetic friction will be :

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A car is negotiating a curved road of radius

R

. The road is banked at an angle

θ

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

μ_{s}

. The maximum safe velocity on this road is:

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A body of mass

m

is launched up on a rough inclined plane making an angle of

30 °

with the horizontal. The coefficient of friction between the body and plane is

\frac{\sqrt{x}}{5}

, if the time of ascent is half of the time of descent. The value of

x

EASY

Physics>Mechanics>Laws of Motion>Friction

Given in the figure are two blocks

A

and

B

of weight

20 N

and

100 N

, respectively. These are being pressed against a wall by a force

F

and kept in equilibrium as shown. If the coefficient of friction between the blocks is

0.1

and between block

B

and the wall is

0.15

, the frictional force applied by the wall on block

B

is:

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

The time taken by an object to slide down

45 °

rough inclined plane is

n

times as it takes to slide down a perfectly smooth

45 °

incline plane. The coefficient of kinetic friction between the object and the incline plane is:

EASY

Physics>Mechanics>Laws of Motion>Friction

A block A of mass 4 kg is placed on another block B of mass 5 kg, and the block B rests on a smooth horizontal table. If the minimum force that can be applied on A so that both the blocks move together is 12 N, the maximum force that can be applied on B for the blocks to move together will be :

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

The normal reaction

N

for a vehicle of

800 kg

mass, negotiating a turn on a

30 °

banked road at maximum possible speed without skidding is ____

\times 10^{3} kg m s^{- 2}

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

If a block of mass '

m

' placed on a plane inclined at an angle

θ

, is on the verge of sliding, then the coefficient of friction between the block and the plane is given by

HARD

Physics>Mechanics>Laws of Motion>Friction

A box when dropped from a certain height reaches the ground with a speed

v

. When it slides from rest from the same height down a rough inclined plane inclined at an angle

45^{o}

to the horizontal, it reaches the ground with a speed

\frac{v}{3}

. The coefficient of sliding friction between the box and the plane is (acceleration due to gravity is

10 m s^{- 2}

)

EASY

Physics>Mechanics>Laws of Motion>Friction

A block is released from rest on a

45 °

smooth incline and slide a distance

d

. The time taken to slide the same distance is

n

times as much to slide on a

45 °

rough incline than on the smooth incline. The coefficients of friction for the rough incline is

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A block

A

of mass

m_{1}

rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block

B

of mass

m_{2}

is suspended. The coefficient of kinetic friction between the block and the table is

μ_{k}

. When the block

B

is sliding on the table, the tension in string is:

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A block of mass

10 kg

is kept on a rough inclined plane as shown in the figure. A force of

3 N

is applied on the block. The coefficient of static friction between the plane and the block is

0.6 .

What should be the minimum value of force

P,

such that the block does not move downward? (take

g = 10 m s^{- 2}

)

HARD

Physics>Mechanics>Laws of Motion>Friction

A small box resting on one edge of the table is struck in such a way that it slides off the other edge,

1 m

away, after

2

seconds. The coefficient of kinetic friction between the box and the table

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A heavy box is to be dragged along a rough horizontal floor. To do so, the person

A

pushes it at an angle

30 °

from the horizontal and requires a minimum force

F_{A}

, while the person

B

pulls the box at an angle

60 °

from the horizontal and needs minimum force

F_{B}

. If the coefficient of friction between the box and the floor is

\frac{\sqrt{3}}{5}

, the ratio

\frac{F_{A}}{F_{B}}

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A block of mass

m

is placed on a surface with a vertical cross section given by

y = \frac{x^{3}}{6}

. If the coefficient of friction is

0.5

, the maximum height above the ground at which the block can be placed without slipping is

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

When a body is placed on a rough plane (coefficient of friction

= μ

) inclined at an angle

θ

to the horizontal, its acceleration is (acceleration due to gravity

= g

)

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A brick of mass $2 kg$ slides down an incline of height $5 m$ and angle $30 ° .$ If the coefficient of friction of the incline is $\frac{1}{2 \sqrt{3}},$ the velocity of the block at the bottom of the incline is (Assume the acceleration due to gravity is $10 m / s^{2})$

MEDIUM

Physics>Mechanics>Laws of Motion>Friction

A block of mass $5 kg$ is kept against an accelerating wedge with a wedge angle of $45 °$ to the horizontal. The co-efficient of friction between the block and the wedge is $μ = 0.4$ . What is the minimum absolute value of the acceleration of the wedge to keep the block steady. Assume $g = 10 m s^{- 2}$

Question Image

Explain the condition of equilibrium of a block in an inclined plane.

Important Questions on Laws of Motion

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