Hey there! Congratulations on posting your first question! I just want to thank you for taking the initiative to check out Brainly. With Brainly, students combine their strengths and talents to tackle problems together and by answering questions, you’ve helped several students learn even more, both quickly and effectively. If you ever have any questions or concerns feel free to PM me or check out our help center (faq.brainly.com). Thanks!
Given there are three blocks of masses , and (ref image in attachment)
When all three masses move together at an acceleration a, the force F is given by
F = ( + + ) *a ................(equation 1)
Also it is given that does not move with respect to , which gives tension T is exerted on pulley by only, Hence tension T is
T = *a ..........(equation 2)
There is also also tension exerted by . There are two components here: horizontal due to acceleration a and vertical component due to gravity g. Thus tension is given by
T = ................(equation 3)
From equation 2 and 3, we get
*a =
Squaring both sides we get
* = * (+)
* = ( * )+ ( *)
( - ) * = *
= */( - )
Taking square root on both sides, we get acceleration a
a = *g/()
Hence substituting the value of a in equation 1, we get