Two blocks are connected by a string as shown in the diagram The upper block is hung by another - Science - Force and Laws of Motion

Question

Two blocks are connected by a string as shown in the diagram The
upper block is hung by another string A force F applied on the
upper string produces an acceleration of 2 m/s2 in the
upward direction in both the blocks If T and T' be the tensions in
the two parts of the string, then

(a) T = 70 8N and T' = 47 2 N (b) T = 58 8 N and T' = 47 2 N
(c) T = 70 8 N and T' = 58 8 N (d) T = 58 8 N and T' = 58 8 N

Vipra Mishra · Accepted Answer

Dear Student

Considering common acceleration a of the system See the below free
diagram

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a6379f35b6a7%20png"
style="width: 166px; height: 383px;">
F-M1+M2g = M1+M2aF-(4+2)g =(4+2)aF-6g =6aF =6 (g+a) =6 (9
8+2) F =T =70
8 NT' -4g =4aT' =4 (9 8 +2) =47
2N
So option a is right

Regards