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Can the coefficient of friction be more than one?

Important Questions on Laws of Motion

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Physics>Mechanics>Laws of Motion>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 .

MEDIUM

Physics>Mechanics>Laws of Motion>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 .

MEDIUM

Physics>Mechanics>Laws of Motion>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 $0.4$ ]

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Physics>Mechanics>Laws of Motion>Friction

Which one of the following statements is incorrect?

HARD

Physics>Mechanics>Laws of Motion>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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MEDIUM

Physics>Mechanics>Laws of Motion>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

Physics>Mechanics>Laws of Motion>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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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}

)

HARD

Physics>Mechanics>Laws of Motion>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___________.

HARD

Physics>Mechanics>Laws of Motion>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

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

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 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

EASY

Physics>Mechanics>Laws of Motion>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

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:

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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 :

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

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Physics>Mechanics>Laws of Motion>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?

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

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}

)

Can the coefficient of friction be more than one?

Important Questions on Laws of Motion

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