Physics Forces Problem: Helicopter lifting a truck

[XcKyle93]

Homework Statement

A large (15,000-kg) military helicopter lifts a 6000-kg truck straight up out of a danger zone with an acceleration of 4 m/s². Calculate the tension in the lifting cable.

Homework Equations

F = ma
W = mg

The Attempt at a Solution

I believe T = 8.3 * 10⁴N, but I am unsure.
For the truck: ƩF_y = -mg + T = m_truck * a = 24000
T = 24000 + m_truckg = 24000 + (6000 * 9.8) = 8.3 * 10⁴N

 

[rock.freak667]

I think your equation should be

m_helia = T-m_truckg

As I am assuming that the helicopter is now lifting the truck off of the ground.

 

[XcKyle93]

Why would it be m_helia instead of m_trucka? That doesn't make much sense to me.

The forces acting on the truck are gravity and tension, so
ƩF_{on truck} = T - m_truckg = m_trucka