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

Two blocks A and B each of equal mass m are released from the top of a smooth fixed wedge as shown in figure. Find the magnitude of acceleration of COM of the two blocks.


A
2g
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
g
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2g3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
g2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D g2
Let us consider the inclined surfaces of the wedge as x-axis and y-axis respectively as shown in the figure below :-


Therefore, we can write acceleration of block A and B as :
aA=mgsin30^i [x- axis direction]
aB=mgsin60^j [y- axis direction]
Acceleration of COM
aCOM=mAaA+mBaBmA+mB
aCOM=mgsin30^i+mgsin60^jm+m
aCOM=g4i+3g4j
|aCOM|=g/2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon