Question

# Block A of mass m/2 is connected to one end of light rope which passes over a pulley as shown in the figure. Man of mass m climbs the other end of rope with a relative acceleration of g/6 with respect to rope. Find acceleration of block A and tension in the rope.

A
4g9,18mg13
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
9g4,13mg18
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
4g9,13mg18
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
9g4,18mg13
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is B 4g9,13mg18Let acceleration of man with respect to ground is a0 and acceleration of block is a.here, a+a0=g/6 or a0=g/6−aFrom FBD of man, ma0=T−mg or m(g/6−a)=T−mgor T+ma=7mg/6...(1)From FBD of block A: m2a=T−m2g or T−ma/2=mg/2..(2)(1)−(2)⇒3ma/2=2mg/3 or a=4g9from (2), T=mg/2+(m/2)(4g/9)=13mg18

Suggest Corrections
0
Related Videos
Problems
PHYSICS
Watch in App
Explore more