A tugboat tows a ship at a constant velocity. The tow harness consists of a single tow cable attached to the tugboat at point A that splits at point B and attaches to the ship at points C and D. The two rope segments BC and BD angle away from the center of the ship at angles of ϕ = 26.0 ∘ and θ = 21.0 ∘, respectively. The tugboat pulls with a force of 1200 lb . What are the tensions TBC and TBD in the rope segments BC and BD?

The tensions in is approximately 4,934.2 lb and the tension in is approximately  6,035.7 lb

Explanation:

The given information are;

The angle formed by the two rope segments are;

The angle, Φ, formed by rope segment BC with the line AB extended to the center (midpoint) of the ship = 26.0°

The angle, θ, formed by rope segment BD with the line AB extended to the center (midpoint) of the ship = 21.0°

Therefore, we have;

The tension in rope segment BC =

The tension in rope segment BD =

The tension in rope segment AB = = Pulling force of tugboat = 1200 lb

By resolution of forces acting along the line A_F gives;

× cos(26.0°) + × cos(21.0°) = = 1200 lb

× cos(26.0°) + × cos(21.0°) = 1200 lb............(1)

Similarly, we have for equilibrium, the sum of the forces acting perpendicular to tow cable = 0, therefore, we have;

× sin(26.0°) + × sin(21.0°) = 0...........................(2)

Which gives;

× sin(26.0°) = - × sin(21.0°)

= - × sin(21.0°)/(sin(26.0°))  ≈ - × 0.8175

Substituting the value of, , in equation (1), gives;

- × 0.8175 × cos(26.0°) + × cos(21.0°) = 1200 lb

- × 0.7348  + ×0.9336 = 1200 lb

×0.1988 = 1200 lb

≈ 1200 lb/0.1988 = 6,035.6938 lb

≈ 6,035.6938 lb

≈ - × 0.8175 = 6,035.6938 × 0.8175 = -4934.1733 lb

≈ -4934.1733 lb

From which we have;

The tensions in ≈ -4934.2 lb and   ≈ 6,035.7 lb.

freezing

deposition

condensation

explanation;

melting also called fusion is the process where solid becomes liquid, sublimation is the process where solid becomes gaseous without first changing to liquid, deposition involves change from gaseous to solid state, freezing involves change from liquid to solid, boiling or evaporation involves change of liquid to gaseous state, while condensation is the change from gaseous state to liquid state.

endothermic reactions involves absorption of heat from the surroundings or the environment while exothermic reactions involves loss of heat energy to the surroundings.

in this case, sublimation, evaporation and melting are endothermic reactions (gain energy from the environment) while, freezing, deposition and condensation are exothermic (loss of energy to the surroundings) reactions.

answer: the correct answer is   air pressure at the top of mount everest is higher than at the bottom of the grand canyon.

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explanation: