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Laws of Motion

Mass m_{1} moves on a slope making an angle with the horizont

Physics Exemplar

Class 11

NCERT Exemplar

Chapter 1: Units and Measurements

44 questions

Chapter 2: Motion in Straight Line

26 questions

Chapter 3: Motion in a Plane

37 questions

Chapter 4: Laws of Motion

42 questions

In figure the coefficient of friction between the floor and the body

B

is 0.1 . The coefficient of friction between the bodies

B

and

A

is 0.2 . A force

F

is applied as shown on

B

. The mass of

A

m /2

and of

B

m

. Which of the following statements are true?

Mass

m_{1}

moves on a slope making an angle

θ

with the horizontal and is attached to mass

m_{2}

by a string passing over a frictionless pulley as shown in figure. The coefficient of friction between

m_{1}

and the sloping surface is

μ

. Which of the following statements are true?

In figure a body

A

of mass

m

slides on plane inclined at angle

θ_{1}

to the horizontal and

μ

is the coefficient of friction between

A

and the plane.

A

is connected by a light string passing over a frictionless pulley to another body

B

, also of mass

m

, sliding on a frictionless plane inclined at an angle

θ_{2}

to the horizontal. Which of the following statements are true?

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Question

Medium

Solving time: 3 mins

Mass $m_{1}$ moves on a slope making an angle $θ$ with the horizontal and is attached to mass $m_{2}$ by a string passing over a frictionless pulley as shown in figure. The coefficient of friction between $m_{1}$ and the sloping surface is $μ$ . Which of the following statements are true?

SELECT MULTIPLE OPTION

m_{2} > m_{1} sin θ

, the body will move up the plane

m_{2} > m_{1} (sin θ + μ cos θ)

, the body will move up the plane

m_{2} < m_{1} (sin θ + μ cos θ)

, the body will move up the plane

m_{2} < m_{1} (sin θ - μ cos θ)

, the body will move down the plane

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Physics Exemplar (NCERT Exemplar)

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Mass

m_{1}

moves on a slope making an angle

θ

with the horizontal and is attached to mass

m_{2}

by a string passing over a frictionless pulley as shown in figure. The coefficient of friction between

m_{1}

and the sloping surface is

μ

. Which of the following statements are true?
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Text solutionVerified

(b, d)

Let

m_{1}

, moves up the plane. Different forces involved are shown in the diagram.

N f T f = Normal reaction = Frictional force = Tension in the string = μ N = μ m_{1} g cos θ

For the system

(m_{1} + m_{2})

to move up

m_{2} g - (m_{1} g sin θ + f) > 0

\Rightarrow \Rightarrow m_{2} g - (m_{1} g sin θ + μ m_{1} g cos θ) > 0 m_{2} > m_{1} (sin θ + μ cos θ)

Hence, option (b) is correct.
Let the body moves down the plane, in this case

f

acts up the plane.
Hence,

\Rightarrow \Rightarrow \Rightarrow m_{1} g sin θ - μ m_{1} g cos θ > m_{2} g m_{1} (sin θ - μ cos θ) > m_{2} m_{2} < m_{1} (sin θ - μ cos θ)

Hence, option (d) is correct.

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Practice more questions from Physics Exemplar (NCERT Exemplar)

In figure the coefficient of friction between the floor and the body

B

is 0.1 . The coefficient of friction between the bodies

B

and

A

is 0.2 . A force

F

is applied as shown on

B

. The mass of

A

m /2

and of

B

m

. Which of the following statements are true?

Mass

m_{1}

moves on a slope making an angle

θ

with the horizontal and is attached to mass

m_{2}

by a string passing over a frictionless pulley as shown in figure. The coefficient of friction between

m_{1}

and the sloping surface is

μ

. Which of the following statements are true?

In figure a body

A

of mass

m

slides on plane inclined at angle

θ_{1}

to the horizontal and

μ

is the coefficient of friction between

A

and the plane.

A

is connected by a light string passing over a frictionless pulley to another body

B

, also of mass

m

, sliding on a frictionless plane inclined at an angle

θ_{2}

to the horizontal. Which of the following statements are true?

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Question Text	Mass $m_{1}$ moves on a slope making an angle $θ$ with the horizontal and is attached to mass $m_{2}$ by a string passing over a frictionless pulley as shown in figure. The coefficient of friction between $m_{1}$ and the sloping surface is $μ$ . Which of the following statements are true?
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	115

Mass $m_{1}$ moves on a slope making an angle $θ$ with the horizontal and is attached to mass $m_{2}$ by a string passing over a frictionless pulley as shown in figure. The coefficient of friction between $m_{1}$ and the sloping surface is $μ$ . Which of the following statements are true?

Text solutionVerified

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Mass m1​ moves on a slope making an angle θ with the horizontal and is attached to mass m2​ by a string passing over a frictionless pulley as shown in figure. The coefficient of friction between m1​ and the sloping surface is μ. Which of the following statements are true?

Text solutionVerified

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Mass $m_{1}$ moves on a slope making an angle $θ$ with the horizontal and is attached to mass $m_{2}$ by a string passing over a frictionless pulley as shown in figure. The coefficient of friction between $m_{1}$ and the sloping surface is $μ$ . Which of the following statements are true?