Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Motion on inclined surface

A block of mass m_1=1 {~kg} another mass m_2=2 {~kg}, are plac

Question

Hard

Solving time: 4 mins

A block of mass $m_{1} = 1 kg$ another mass $m_{2} = 2 kg$ , are placed together (see figure) on an inclined plane with angle of inclination $θ$ . Various values of $θ$ are given in List I. The coefficient of friction between the block $m_{1}$ and the plane is always zero. The coefficient of static and dynamic friction between the block $m_{2}$ and the plane are equal to $μ = 0.3$ . In List II expressions for the friction on the block $m_{2}$ are given. Match the correct expression of the friction in List II with the angles given in List I, and choose the correct option.
The acceleration due to gravity is denoted by $g$ .
[Useful information: $tan (5. 5^{\circ}) \approx 0.1; tan (11. 5^{\circ}) \approx 0.2; tan (16. 5^{\circ}) \approx 0.3]$

Views: 6,647 students

Updated on: Jul 23, 2023

Book:

Mechanics Volume 1 (DC Pandey)

Found 3 tutors discussing this question

Henry Discussed

A block of mass

m_{1} = 1 kg

another mass

m_{2} = 2 kg

, are placed together (see figure) on an inclined plane with angle of inclination

θ

. Various values of

θ

are given in List I. The coefficient of friction between the block

m_{1}

and the plane is always zero. The coefficient of static and dynamic friction between the block

m_{2}

and the plane are equal to

μ = 0.3

. In List II expressions for the friction on the block

m_{2}

are given. Match the correct expression of the friction in List II with the angles given in List I, and choose the correct option.
The acceleration due to gravity is denoted by

g

.
[Useful information:

tan (5. 5^{\circ}) \approx 0.1; tan (11. 5^{\circ}) \approx 0.2; tan (16. 5^{\circ}) \approx 0.3]

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

(d) Block will not slip if

(m_{1} + m_{2}) g sin θ \leq μ m_{2} g cos θ

\Rightarrow 3 sin θ \leq (\frac{3}{10}) (2) cos θ

\Rightarrow tan θ \leq 1/5

θ \leq 11. 5^{\circ}

(P)

θ = 5^{\circ}

friction is static

f = (m_{1} + m_{2}) g sin θ

(Q)

θ = 1 0^{\circ}

friction is static

f = (m_{1} + m_{2}) g sin θ

(R)

θ = 1 5^{\circ}

friction is kinetic

f = μ m_{2} g cos θ

(S)

θ = 2 0^{\circ}

friction is kinetic

\Rightarrow f = μ m_{2} g cos θ

Was this solution helpful?

127

Report

Filo tutor solutions (5)

Learn from their 1-to-1 discussion with Filo tutors.

1 mins

Uploaded on: 7/23/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Kaushalendra Kumar

Total classes on Filo by this tutor - 9,844

Teaches : Physics, Mathematics, Science

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

114

Report

26 mins

Uploaded on: 5/4/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Kshitij Yadav

Total classes on Filo by this tutor - 3,497

Teaches : Physics, Mathematics, English

Connect instantly with this tutor

Connect now

Notes from this class (2 pages)

Download

Was this solution helpful?

Report

23 mins

Uploaded on: 7/23/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Siddhant

Total classes on Filo by this tutor - 9,378

Teaches : Physics, Mathematics, Science

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

124

Report

See more 1-on-1 discussions (2)

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	A block of mass $m_{1} = 1 kg$ another mass $m_{2} = 2 kg$ , are placed together (see figure) on an inclined plane with angle of inclination $θ$ . Various values of $θ$ are given in List I. The coefficient of friction between the block $m_{1}$ and the plane is always zero. The coefficient of static and dynamic friction between the block $m_{2}$ and the plane are equal to $μ = 0.3$ . In List II expressions for the friction on the block $m_{2}$ are given. Match the correct expression of the friction in List II with the angles given in List I, and choose the correct option. The acceleration due to gravity is denoted by $g$ . [Useful information: $tan (5. 5^{\circ}) \approx 0.1; tan (11. 5^{\circ}) \approx 0.2; tan (16. 5^{\circ}) \approx 0.3]$
Updated On	Jul 23, 2023
Topic	Motion in a Plane
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 5
Upvotes	690
Avg. Video Duration	13 min

Text solutionVerified

Filo tutor solutions (5)

Practice questions from Mechanics Volume 1 (DC Pandey)

Practice more questions from Motion in a Plane

Practice questions on similar concepts asked by Filo students

Text solutionVerified

Filo tutor solutions (5)

Practice questions from Mechanics Volume 1 (DC Pandey)

Practice more questions from Motion in a Plane

Practice questions on similar concepts asked by Filo students

Related books for questions on Motion in a Plane