A force F of magnitude 16 N is applied to a FedEx box of mass m2 = 1.0 kg. The f

Question

A force F of magnitude 16 N is applied to a FedEx box of mass m2 = 1.0 kg. The force is directed up a plane tilted by ? = 37?. The box is connected by a cord to a UPS box of mass 3.0 kg on the floor. The floor, plane, and pulley are frictionless, and the masses of the pulley and cord are negligible.

What is the tension in the cord?

According to my professor, the beginning of the solutions starts as follows:

I thought Newton's 2nd law of motion formula was F = m x a

What is the name & purpose of this formula involving sin? Is it a unique one when searching for the tension?

Explanation / Answer

According to newton's law, F =ma, where F is the net force acting on the body
In the direction of motion, gravitational force component = m2g sin.

gravitational force component perpendicular to the ramp will be compensated by normal reaction. So, net force in that direction is '0'

Net force in the direction of motion = F -m2g sin -T which should be equal to m2*a

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