Respuesta :
Answer:
T2= 60 N and T1= 150,25 N
Explanation:
a free body diagram has to be done

The magnitude of the forces T1 and T2 if the acceleration is 2m/s² is 60N and 150.26N respectively.
Find the free body diagram attached. According to newton's second law;
[tex]\sum F_x = ma_x[/tex]
∑Fx is the sum of applied force in the horizontal direction
m is the mass of the object
ax is the acceleration of the object
For the body of mass 30kg
∑T = ma
T2 = ma
T2 = 30 * 2
T2 = 60N
For the sum of force acting on the second body;
T1 cos θ - T2 = ma
T1 cos 37 - 60 = 30(2)
T1 cos 37 = 120
T1 = 120/cos37
T1 = 120/0.7986
T1 = 150.26N
This shows that the magnitude of the forces T1 and T2 if the acceleration is 2m/s² is 60N and 150.26N respectively.
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