In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that

₁=37.0,

₂=53.0,

₃=63.0,

m₁=5.00kg,

and

m₂=8.00kg.

(Due to the nature of this problem, do not use rounded intermediate values in your calculationsincluding answers submitted in WebAssign.)(a)A mass labeledm₁suspended from a horizontal surface by three cables.

• The mass hangs from one vertical cable labeledT₃, which in turn is connected to two other cables that fork outward from the first cable.
• The cable that forks upward and to the left side is labeledT₁and makes an angle₁with the top horizontal surface.
• The cable that forks upward and to the right is labeledT₂and makes an angle₂with the top horizontal surface.
• The cablesT₁,T₂, and the horizontal surface on the top form a triangle.

T₁= NT₂= NT₃= N (b)A mass labeledm₂suspended by three cables.

• The mass hangs from one vertical cable labeledT₃, which in turn is connected to two other cables that fork outward from the first cable. One cable forks upward and to the left while the other cable forks horizontally to the right.
• The cable that forks upward and to the left is labeledT₁and makes an angle₃with the top horizontal surface.
• The cable that forks horizontally to the right is labeledT₂and is perpendicular to the wall.

T₁= NT₂= NT₃= N