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fazegaze89
14.07.2020 •
Physics
A body weighing 8 N is supported by two cables whose voltages T1 and T2 form angles of 60 ° and 30 ° with the ceiling. How much are these tensions worth? Choose the correct option. Select one: a. 4N and 7N b. 5N and 7N c. 4N and 10N
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Ответ:
a. 4N and 7N
Explanation:
Draw a free body diagram.
Sum of the forces in the x direction:
∑F = ma
T₂ cos 30° − T₁ cos 60° = 0
T₂ cos 30° = T₁ cos 60°
T₂ (½√3) = T₁ (½)
T₁ = T₂ √3
Sum of the forces in the y direction:
∑F = ma
T₂ sin 30° + T₁ sin 60° − mg = 0
T₂ sin 30° + (T₂ √3) sin 60° − mg = 0
½ T₂ + 1.5 T₂ − mg = 0
2 T₂ = mg
T₂ = 4 N
T₁ = 4√3 N
T₁ ≈ 7 N
Ответ:
It would take 6 seconds before hitting the ground
Explanation: