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A block of mass $5 kg$ is placed on a rough inclined plane. The inclination of the plane is gradually increased until the block just begins to slide down. The sin of angle made by the plane with horizontal is $\frac{3}{5}$ when the block start sliding. The coefficient of friction between the block and the plane is $(g = 100 m s^{- 2})$ ,

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Important Questions on Force and Laws of Motion

EASY

Science>Physics>Force and Laws of Motion>Types of Friction

A block of mass

10 kg

starts sliding on a surface with an initial velocity of

9.8 {ms}^{- 1}

. The coefficient of friction between the surface and block is

0.5

. The distance covered by the block before coming to rest is :[use

g = 9.8 {ms}^{- 2}

]

MEDIUM

Science>Physics>Force and Laws of Motion>Types of Friction

A block of mass $m$ slides along a floor while a force of magnitude $F$ is applied to it at an angle $θ$ as shown in figure. The coefficient of kinetic friction is $μ_{K}$ . Then, the block's acceleration $a$ is given by : ( $g$ is acceleration due to gravity)

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EASY

Science>Physics>Force and Laws of Motion>Types of Friction

What is the maximum force

F

that can be applied on block

m_{1},

so that both

m_{1} & m_{2}

will move together? There is no friction between

m_{1}

and the horizontal table. The coefficient of friction between

' m_{1}'

and

' m_{2}'

μ .

HARD

Science>Physics>Force and Laws of Motion>Types of Friction

In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle

θ

with the horizontal floor. The coefficient of friction between the wall and the ladder is

μ_{1}

and that between the floor and the ladder is

μ_{2}

. The normal reaction of the wall on the ladder is

N_{1}

and that of the floor is

N_{2}

. If the ladder is about to slip, then

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HARD

Science>Physics>Force and Laws of Motion>Types of Friction

A block of mass

100 kg

attached to a massless rope and the second end of the rope is pulled up by

2

men along a rough inclined plane of coefficient of friction

0.2

inclined at

37 °

with the horizontal. If they exert their maximum force for the block to just start moving up, the force exerted by each of them is, (Acceleration due to gravity

= 10 m s^{- 2}, \tan 37 ° ≃ 0.75

)

EASY

Science>Physics>Force and Laws of Motion>Types of Friction

Which of the following is a self adjusting force?

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Science>Physics>Force and Laws of Motion>Types of Friction

A solid cylinder of mass $m$ is wrapped with an inextensible light string and, is placed on a rough inclined plane as shown in the figure. The frictional force acting between the cylinder and the inclined plane is:

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[The coefficient of static friction, $μ_{s}$ , is $0.4$ ]

MEDIUM

Science>Physics>Force and Laws of Motion>Types of 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

Science>Physics>Force and Laws of Motion>Types of Friction

A uniform chain of length

L

is lying partly on a table, the remaining part hanging down from the edge of the table. If the coefficient of friction between the chain and the table is

0.5,

what is the minimum length of the chain that should lie on the table, to prevent the chain from slipping down to the ground?

EASY

Science>Physics>Force and Laws of Motion>Types of Friction

Meena applies the front brakes while riding on her bicycle along a flat road. The force that slows her bicycle is provided by the

MEDIUM

Science>Physics>Force and Laws of Motion>Types of Friction

A block is placed on a parabolic shape ramp given by equation

y = \frac{x^{2}}{20}

. If the coefficient of static friction

(μ_{s})

0.5

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

MEDIUM

Science>Physics>Force and Laws of Motion>Types of 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

EASY

Science>Physics>Force and Laws of Motion>Types of 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:

EASY

Science>Physics>Force and Laws of Motion>Types of Friction

Which one of the following statements is incorrect?

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Science>Physics>Force and Laws of Motion>Types of 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:
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HARD

Science>Physics>Force and Laws of Motion>Types of 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

HARD

Science>Physics>Force and Laws of Motion>Types of 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}

)

MEDIUM

Science>Physics>Force and Laws of Motion>Types of Friction

An inclined plane is bent in such a way that the vertical cross-section is given by

y = \frac{x^{2}}{4}

, where

y

is in vertical and

x

in horizontal direction. If the upper surface of this curved plane is rough with coefficient of friction

μ = 0.5,

the maximum height in

cm

at which a stationary block will not slip downward is________

cm .

HARD

Science>Physics>Force and Laws of Motion>Types of Friction

Put a uniform meter scale horizontally on your extended index fingers with the left one at

0.00 cm

and the right one at

90.00 cm

. When you attempt to move both the fingers slowly towards the center, initially only the left finger slips with respect to the scale and the right finger does not. After some distance, the left finger stops and the right one starts slipping. Then the right finger stops at a distance

x_{R}

from the center

(50.00 cm)

of the scale and the left one starts slipping again. This happens because of the difference in the frictional forces on the two fingers. If the coefficients of static and dynamic friction between the fingers and the scale are

0.40

and

0.32

, respectively, the value of

x_{R}

(in cm) is___________.

MEDIUM

Science>Physics>Force and Laws of Motion>Types of 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:

Important Questions on Force and Laws of Motion

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