Question

what is the acceleration and tension of each block​

Answer 1

Answer:

Explanation:

this can be solved by equation and constraint help

let acceleration of a be downward

and acceleration of 2kg be a1 upwards

and acceleration of 1 kg be a2 upwards

a=a1+a2 / 2

and tension in the string be t

50-2t = 5a

t-2g = 2a1

t-g= a2

adding 123

50-3g = 5a+2a1+a2

20=7a+a1

20-7a=a1

therefore

acceleration of a2 in terms of a

a=a1+a2 / 2

2a = 20-7a+a2

9a-20 = a2

equations of 5 kg block

50-2t = 5a

t-20 = 2a1

2t-40 = 4a1

adding

10 = 5a+4a1

10 = 5a+4(20-7a)

10 = 5a+80-28a

-70 = -23a

a=70/23 m/sec^2 downwards

a1=20-490/23

a1=-30/23 upwards

a1=30/23 downwards

a2 = 630/23- 20

a2 = 170/23 upwards