CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Find the acceleration of block of mass 4m, assuming that the surface and pulley are smooth and the string is inextensible.

A
6g17
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3g17
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2g17
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
g17
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 6g17
Let the acceleration of mass 4m and m be a1 and a2 respectively.

Using constraint relation,
a1a2a2=0a1=2a2 ... (1)
From FBD of 4m and m, we get
4mgsin30°T1=4ma1 ... (2)
2T1mg=ma2 ... (3)
Hence
4mg2T1=8ma1
2T1mg=m(a12)
Solving the above two equations, we get
3mg=ma1(172)
a1=6g17

flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
similar_icon
Related Videos
thumbnail
lock
All Strings Attached
PHYSICS
Watch in App