wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle α should be

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
30
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
45
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
60
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 45
Let us first draw the FBD of the string-pulley system given in the question.

Let T be the tension in the strings over the pulleys.

For equilibrium of both blocks of mass m :
T=mg ....(i)

For equilibrium of block of mass 2 m
2 mg=2Tcosα
Tcosα=12mg ..(ii)
(from the figure, by symmetry, the angle made by the other section of the string with the vertical should also be α)

Using (i) and (ii), we get
cosα=12
α=45

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Losing Weight Using Physics
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon