Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

One end of a massless rope, which passes over a massless and frictionless pulley P is tied to a hook  C While the other end is free. The maximum tension that the rope can bear is 960 N. With what value of maximum safe acceleration (in ms-2) can a man of 60 kg climb on the rope?

                                                                     

Option 1)  16

Option 2)  6

Option 3)  4

Option 4)  8

Answers (1)

As we learned,

Motion of connected blocks over pulley -

Equation of motion for   m_{1}

F_{net}=T-m_{1}g=m_{1}a

Equation of Motion for   m_{2}

F_{net}=m_{2}g-T=m_{2}a

 

- wherein

a=\frac{[m_{2}-m_{1}\:]g}{m_{1}+m_{2}}

T=\frac{2m_{1}m_{2}\:g}{m_{1}+m_{2}}


 

:  T - 60g = 60 a

  or    960 - (60\times10) = 60a 

or    60a = 360

or    a = 6ms-2

Correct option is 2.

Posted by

lovekush

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2024 Topper: Farmer’s son Gajare Nilkrishna says ‘keep questioning until you understand’
anam-khan

NIT Puducherry Cut-off 2024: Computer Science and Engineering had highest closing rank last year
anam-khan

JEE Mains: Farmer's son from remote Maharashtra village aces exam

Latest Question