Question 127: Laws of Motion

Question

In the arrangement shown in figure a
1
, a
2
, a
3
and a
4
are the accelerations of masses m
1
, m
2
, m
3
and m
4
respectively. Which of the following relation is true for this arrangement?
![](https://app-content.cdn.examgoal.net/fly/@width/image/1l5ah1ydy/4960bf07-d070-4696-a462-2d0eddf45242/3aea2f60-fda5-11ec-9375-7dc6a3ea1387/file-1l5ah1ydz.png?format=png)

Accepted Answer

From virtual work done method,
4T $	imes$ a
1
+ 2T $	imes$ a
2
+ T $	imes$ a
3
+ T $	imes$ a
4
= 0
$\Rightarrow$ 4a
1
+ 2a
2
+ a
3
+ a
4
= 0

Answer

4a
1
+ 2a
2
+ a
3
+ a
4
= 0

Answer

a
1
+ 4a
2
+ 3a
3
+ a
4
= 0

Answer

a
1
+ 4a
2
+ 3a
3
+ 2a
4
= 0

Answer

2a
1
+ 2a
2
+ 3a
3
+ a
4
= 0

Laws of Motion

In the arrangement shown in figure a 1 , a 2 , a 3 and a 4 are the accelerations of masses m 1 , m 2 , m 3 and m 4 respectively. Which of the following relation is true for this arrangement?

Choose the correct answer: