In the following figure, a body of mass 'm' is tied at one end of a light string

Sail E0 Webinar

Question

In the following figure, a body of mass 'm' is tied at one end of a light string and this string is wrapped around the solid cylinder of mass 'M' and radius 'R'. At the moment, t = 0 the system starts moving. If the friction is negligible, angular velocity at time, t would be

Options:

A . mgRt(M+m)

B . 2MgtR(M+2m)

C . 2mgtR(M−2m)

D . 2mgtR(M+2m)

Answer: Option D
:
D
We know the tangential acceleration

a = \frac{g}{1 + \frac{I}{m R^{2}}} = \frac{g}{1 + \frac{1 / 2 M R^{2}}{m R^{2}}} = \frac{2 m g}{2 m + M}

[A s I = \frac{1}{2} M R^{2} f o r c y l i n d e r]

After time t, linear velocity of mass

m, v = u + a t = 0 + \frac{2 m g t}{2 m + M}

So angular velocity of the cylinder

ω = \frac{v}{R} = \frac{2 m g t}{R (M + 2 m)} .

In The Following Figure, A Body Of Mass 'm' Is Tied At One E...

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. Moment of inertia of uniform rod of mass 'M' and length 'L' about an axis through its centre and perpendicular to its l....velocity of the rod just after the collision will be

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0