PART ONE. PHYSICAL FUNDAMENTALS OF MECHANICS

Q. 143. A pulley fixed to the ceiling carries a thread with bo

Problems in General Physics

Class 11

IE Irodov

Chapter 1: PART ONE. PHYSICAL FUNDAMENTALS OF MECHANICS

277 questions

Q. 142. A smooth light horizontal rod

A B

can rotate about a vertical axis passing through its end

A

. The rod is fitted with a small sleeve of mass

m

attached to the end

A

by a weightless spring of length

l_{0}

and stiffness

x

. What work must be performed to slowly get this system going and reaching the angular velocity

ω

Q. 143. A pulley fixed to the ceiling carries a thread with bodies of masses

m_{1}

and

m_{2}

attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration

w_{c}

of the centre of inertia of this system.

Q. 144. Two interacting particles form a closed system whose centre of inertia is at rest. Fig.

1.36

illustrates the positions of both particles at a certain moment and the trajectory of the particle of mass

m_{1}

. Draw the trajectory of the particle of mass

m_{2}

m_{2} = m_{1} /2

View all question

Chapter 2: PART TWO. THERMODYNAMICS AND MOLECULAR PHYSICS

9 questions

Chapter 3: PART THREE. ELECTRODYNAMICS

46 questions

Chapter 4: PART FOUR. OSCILLATIONS AND WAVES

155 questions

Chapter 5: PART FIVE. OPTICS

215 questions

Chapter 6: PART SIX. ATOMIC AND NUCLEAR PHYSICS

271 questions

Question

Hard

Solving time: 5 mins

Q. 143. A pulley fixed to the ceiling carries a thread with bodies of masses $m_{1}$ and $m_{2}$ attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration $w_{c}$ of the centre of inertia of this system.

Name: Video answer for Q. 143. A pulley fixed to the ceiling carries a thread with bodies of masses m1 and m2 attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration wc of the centre of inertia of this system. - Problems in General Physics
Uploaded: 2022-10-29T07:16:48.000Z
Duration: 9 min
Description: [Solved] Q. 143. A pulley fixed to the ceiling carries a thread with bodies of masses m1 and m2 attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration wc of the centre of inertia of this system. - Problems in General Physics

Views: 5,449 students

Updated on: Oct 29, 2022

Book:

Problems in General Physics (IE Irodov)

Text solutionVerified

We know that acceleration of centre of mass of the system is given by the expression.

w_{C} = \frac{m _{1} w _{1} + m _{2} w _{2}}{m _{1} + m _{2}}

Since,

w_{1} = - w_{2}

w_{C} = \frac{( m _{1} - m _{2} ) w _{1}}{m _{1} + m _{2}} \dots (1)

Now from Newton's second law

F = m w

, for the bodies

m_{1}

and

m_{2}

respectively.

T + m_{1} g = m_{1} w_{1} \dots (2)

and

T + m_{2} g = m_{2} w_{2} = - m_{2} w_{1} \dots (3)

Solving (2) and (3)

w_{1} = \frac{( m _{1} - m _{2} ) g}{m _{1} + m _{2}} \dots (4)

Thus from (1), (2) and (4),

w_{c} = \frac{( m _{1} - m _{2} ) ^{2} g}{( m _{1} + m _{2} ) ^{2}}

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Q. 143. A pulley fixed to the ceiling carries a thread with bodies of masses

m_{1}

and

m_{2}

attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration

w_{c}

of the centre of inertia of this system.

6 mins ago

Discuss this question LIVE

6 mins ago

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Question Text	Q. 143. A pulley fixed to the ceiling carries a thread with bodies of masses $m_{1}$ and $m_{2}$ attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration $w_{c}$ of the centre of inertia of this system.
Updated On	Oct 29, 2022
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	160
Avg. Video Duration	5 min

Q. 143. A pulley fixed to the ceiling carries a thread with bodies of masses $m_{1}$ and $m_{2}$ attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration $w_{c}$ of the centre of inertia of this system.

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Q. 143. A pulley fixed to the ceiling carries a thread with bodies of masses m1​ and m2​ attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration wc​ of the centre of inertia of this system.

Text solutionVerified

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Q. 143. A pulley fixed to the ceiling carries a thread with bodies of masses $m_{1}$ and $m_{2}$ attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration $w_{c}$ of the centre of inertia of this system.